{"id":7541,"date":"2024-06-21T12:00:13","date_gmt":"2024-06-21T10:00:13","guid":{"rendered":"https:\/\/www.uni.lu\/research-en\/?post_type=research-projects&#038;p=7541"},"modified":"2025-03-04T09:56:12","modified_gmt":"2025-03-04T08:56:12","slug":"doctoral-training","status":"publish","type":"research-projects","link":"https:\/\/www.uni.lu\/research-en\/research-projects\/quancom\/doctoral-training\/","title":{"rendered":"Doctoral training"},"content":{"rendered":"<div class=\"section py-0 static\">\n<section class=\"py-0 wp-block-unilux-blocks-free-section section\"><div class=\"container xl:max-w-screen-xl\"><!-- SecondaryNavigationMirror --><div class=\"js-secondary-nav--sticky wp-block-unilux-blocks-secondary-navigation\" id=\"82ecdd4f-ef8d-4504-909d-79aacad0f7b3\">\n    <nav id=\"secondary-navigation\" role=\"navigation\" aria-label=\"Secondary menu\" class=\"secondary-nav\">\n        <button class=\"secondary-nav__button btn btn-solid--primary w-full\" aria-expanded=\"false\" aria-controls=\"secondary-navigation__list\" title=\"The selected page is Doctoral training\" type=\"button\">\n            <span class=\"btn__name mr-auto\">Doctoral training<\/span>\n            <svg aria-hidden=\"true\" focusable=\"false\" class=\"icon icon-outline icon--xs\">\n                <use xlink:href=\"https:\/\/www.uni.lu\/wp-content\/themes\/unilux-theme\/assets\/images\/icons\/icons-outline.svg#icon--arrow-down\" \/>\n            <\/svg>\n        <\/button>\n\n        <ul id=\"secondary-navigation__list\" class=\"secondary-nav__list\">\n            <li class=\"secondary-nav__item\">\n    <a href=\"https:\/\/www.uni.lu\/research-en\/research-projects\/quancom\/\" target=\"\" rel=\"noreferrer noopener\" class=\"secondary-nav__link \">\n        <svg aria-hidden=\"true\" focusable=\"false\" class=\"icon icon-outline icon--xs\">\n            <use xlink:href=\"https:\/\/www.uni.lu\/wp-content\/themes\/unilux-theme\/assets\/images\/icons\/icons-outline.svg#icon--arrow-right\" \/>\n        <\/svg>\n        <span class=\"secondary-nav__name\">Overview<\/span>\n    <\/a>\n<\/li>\n<li class=\"secondary-nav__item\">\n    <a href=\"https:\/\/www.uni.lu\/research-en\/research-projects\/quancom\/research\/\" target=\"\" rel=\"noreferrer noopener\" class=\"secondary-nav__link \">\n        <svg aria-hidden=\"true\" focusable=\"false\" class=\"icon icon-outline icon--xs\">\n            <use xlink:href=\"https:\/\/www.uni.lu\/wp-content\/themes\/unilux-theme\/assets\/images\/icons\/icons-outline.svg#icon--arrow-right\" \/>\n        <\/svg>\n        <span class=\"secondary-nav__name\">Research<\/span>\n    <\/a>\n<\/li>\n<li class=\"secondary-nav__item\">\n    <a href=\"https:\/\/www.uni.lu\/research-en\/research-projects\/quancom\/doctoral-training\/\" target=\"\" rel=\"noreferrer noopener\" class=\"secondary-nav__link isactived\" aria-current=\"page\">\n        <svg aria-hidden=\"true\" focusable=\"false\" class=\"icon icon-outline icon--xs\">\n            <use xlink:href=\"https:\/\/www.uni.lu\/wp-content\/themes\/unilux-theme\/assets\/images\/icons\/icons-outline.svg#icon--arrow-right\" \/>\n        <\/svg>\n        <span class=\"secondary-nav__name\">Doctoral training<\/span>\n    <\/a>\n<\/li>\n<li class=\"secondary-nav__item\">\n    <a href=\"https:\/\/www.uni.lu\/research-en\/research-projects\/quancom\/activities\/\" target=\"\" rel=\"noreferrer noopener\" class=\"secondary-nav__link \">\n        <svg aria-hidden=\"true\" focusable=\"false\" class=\"icon icon-outline icon--xs\">\n            <use xlink:href=\"https:\/\/www.uni.lu\/wp-content\/themes\/unilux-theme\/assets\/images\/icons\/icons-outline.svg#icon--arrow-right\" \/>\n        <\/svg>\n        <span class=\"secondary-nav__name\">Activities<\/span>\n    <\/a>\n<\/li>\n<li class=\"secondary-nav__item\">\n    <a href=\"https:\/\/www.uni.lu\/research-en\/research-projects\/quancom\/people\/\" target=\"\" rel=\"noreferrer noopener\" class=\"secondary-nav__link \">\n        <svg aria-hidden=\"true\" focusable=\"false\" class=\"icon icon-outline icon--xs\">\n            <use xlink:href=\"https:\/\/www.uni.lu\/wp-content\/themes\/unilux-theme\/assets\/images\/icons\/icons-outline.svg#icon--arrow-right\" \/>\n        <\/svg>\n        <span class=\"secondary-nav__name\">People<\/span>\n    <\/a>\n<\/li>\n        <\/ul>\n    <\/nav>\n<\/div>\n<!-- end SecondaryNavigationMirror --><\/div><\/section>\n\n\n\n<section class=\"wp-block-unilux-blocks-free-section section\"><div class=\"container xl:max-w-screen-xl\">\n<h1 class=\"has-text-align-left wp-block-unilux-blocks-heading\"        id=\"doctoral-training\"\n    >\nDoctoral training<\/h1>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:66.66%\">\n<p>QUANCOM is a competitive Doctoral Training Unit (DTU) supported by the research funding scheme PRIDE of the Luxembourg National Research Fund (FNR).<\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:33.33%\"><figure class=\"wp-block-dev4-reusable-blocks-image  object-fit--contain\">\n    \n<img decoding=\"async\" class=\"wp-block-image unilux-custom-image-block\"\n                alt=\"\"\n            src=\"https:\/\/www.uni.lu\/wp-content\/uploads\/sites\/8\/2024\/02\/FNR_LOGO_BIG.png\"\n                srcset=\"https:\/\/www.uni.lu\/wp-content\/uploads\/sites\/8\/2024\/02\/FNR_LOGO_BIG-300x87.png 300w, https:\/\/www.uni.lu\/wp-content\/uploads\/sites\/8\/2024\/02\/FNR_LOGO_BIG-1024x298.png 1024w, https:\/\/www.uni.lu\/wp-content\/uploads\/sites\/8\/2024\/02\/FNR_LOGO_BIG-768x224.png 768w, https:\/\/www.uni.lu\/wp-content\/uploads\/sites\/8\/2024\/02\/FNR_LOGO_BIG-1536x447.png 1536w, https:\/\/www.uni.lu\/wp-content\/uploads\/sites\/8\/2024\/02\/FNR_LOGO_BIG.png 1940w\"\n                style=\"object-position: 50.00% 50.00%; font-family: &quot;object-fit: contain; object-position: 50.00% 50.00%;&quot;; aspect-ratio: 32\/9; object-fit: contain; width: 100%;\"\n        loading=\"lazy\"\n\/>    <\/figure><\/div>\n<\/div>\n\n\n\n<ul class=\"wp-block-unilux-blocks-button-list-v2\">\n<li class=\"wp-block-unilux-blocks-button-list-item-v2\"><a class=\"quick-link\" href=\"#doctoral-courses\" target=\"\" role=\"link\" rel=\"noopener\" tabindex=\"0\"><span class=\"quick-link__container\">\n<div class=\"wp-block-unilux-blocks-block-inserter quick-link__img\"><\/div>\n\n\n\n<span class=\"quick-link__name wp-block-unilux-blocks-plain-text\">Doctoral courses<\/span>\n\n<svg aria-hidden=\"true\" focusable=\"false\" class=\"icon icon-outline icon--arrow-dual-down \"><use xlink:href=\"https:\/\/www.uni.lu\/wp-content\/themes\/unilux-theme\/assets\/images\/icons\/icons-outline.svg#icon--arrow-dual-down\"><\/use><\/svg><\/span><\/a><\/li>\n\n\n\n<li class=\"wp-block-unilux-blocks-button-list-item-v2\"><a class=\"quick-link\" href=\"#career-development\" target=\"\" role=\"link\" rel=\"noopener\" tabindex=\"0\"><span class=\"quick-link__container\">\n<div class=\"wp-block-unilux-blocks-block-inserter quick-link__img\"><\/div>\n\n\n\n<span class=\"quick-link__name wp-block-unilux-blocks-plain-text\">Career development<\/span>\n\n<svg aria-hidden=\"true\" focusable=\"false\" class=\"icon icon-outline icon--arrow-dual-down \"><use xlink:href=\"https:\/\/www.uni.lu\/wp-content\/themes\/unilux-theme\/assets\/images\/icons\/icons-outline.svg#icon--arrow-dual-down\"><\/use><\/svg><\/span><\/a><\/li>\n<\/ul>\n<\/div><\/section>\n\n\n<section class=\"section  wp-block-unilux-blocks-content-card-full-width py-0\">\n    <div class=\"container 2xl:max-w-screen-2xl\">\n        <div class=\"max-w-11\/12\">\n            <div class=\"content-card content-card--right content-card__overlay--hidden wp-block-unilux-blocks-content-card\">\n    \n<h2 class=\"content-card__heading has-text-align-left wp-block-unilux-blocks-heading\"        id=\"doctoral-projects\"\n    >\nDoctoral projects<\/h2>\n<div class=\"content-card__visual wp-block-unilux-blocks-content-card-visual-area\">\n    \n<section class=\"wp-block-unilux-blocks-image-video-wrapper\">\n    <figure class=\"wp-block-dev4-reusable-blocks-image  object-fit--cover\">\n    \n<img decoding=\"async\" class=\"wp-block-image unilux-custom-image-block\"\n                alt=\"Multiscale modeling in materials science and physics (PhD1-5)\"\n            src=\"https:\/\/www.uni.lu\/wp-content\/uploads\/sites\/8\/2024\/06\/QUANCOM-Multiscale-modeling-in-materials-science-and-physics_centered.png\"\n                srcset=\"https:\/\/www.uni.lu\/wp-content\/uploads\/sites\/8\/2024\/06\/QUANCOM-Multiscale-modeling-in-materials-science-and-physics_centered-300x192.png 300w, https:\/\/www.uni.lu\/wp-content\/uploads\/sites\/8\/2024\/06\/QUANCOM-Multiscale-modeling-in-materials-science-and-physics_centered-1024x655.png 1024w, https:\/\/www.uni.lu\/wp-content\/uploads\/sites\/8\/2024\/06\/QUANCOM-Multiscale-modeling-in-materials-science-and-physics_centered-768x492.png 768w, https:\/\/www.uni.lu\/wp-content\/uploads\/sites\/8\/2024\/06\/QUANCOM-Multiscale-modeling-in-materials-science-and-physics_centered.png 1500w\"\n                style=\"object-position: 50.00% 50.00%; font-family: &quot;object-fit: cover; object-position: 50.00% 50.00%;&quot;; aspect-ratio: 3\/2; object-fit: cover; width: 100%;\"\n        loading=\"lazy\"\n\/>    <\/figure><\/section>\n<div class=\"wp-block-unilux-blocks-wrapper content-card__overlay\">\n<a class=\"wp-block-unilux-blocks-button-highlight-rounded bottom-left\" \n    href=\"#\"\n    target=\"_self\"\n>\n    \n<span class=\"btn-highlight-rounded__name wp-block-unilux-blocks-plain-text\"><\/span>    <span class=\"icon-rounded\">\n        <svg aria-hidden=\"true\" focusable=\"false\" class=\"icon icon-outline icon--arrow-right icon--lg\"><use xlink:href=\"https:\/\/www.uni.lu\/wp-content\/themes\/unilux-theme\/assets\/images\/icons\/icons-outline.svg#icon--arrow-right\"><\/use><\/svg>    <\/span>\n<\/a><\/div>\n<\/div><div class=\"content-card__body  wp-block-unilux-blocks-content-card-free-area\">\n    \n<h3 class=\"has-text-align-left wp-block-unilux-blocks-heading\"        id=\"multiscale-modeling-in-materials-science-and-physics\"\n    >\nMultiscale modeling in materials science and physics<\/h3>\n\n<p>The overarching goal of the QUANCOM DTU is to develop fundamental theories for the description of dynamics and measurement in realistic many-body quantum systems, developing ab-initio tools to model dynamical dispersion forces and better understand decoherence process, from the microscopic to the macroscopic limit. Understanding the complexity of quantum dynamics will be the basis to develop quantum algorithms for quantum optimization.<\/p>\n\n<p>For this, <strong>8 doctoral candidates<\/strong> will develop a research project on theory, computation, and experimental quantum physics, as detailed in the doctoral projects.<\/p>\n\n<p>As a whole, this programme aims to further our understanding of fundamental phenomena defining dynamical material functions and push the development of materials and algorithms for quantum technologies.<\/p>\n\n<p><sub>QUANCOM DTU Coordinator: Aur\u00e9lia Chenu (DPhyMS).<\/sub><\/p>\n\n<div class=\"wp-block-unilux-blocks-accordion accordion accordion--theme accordion-standard\" data-reference=\"f2742caa-fbdd-4368-9ca4-7ba836efccfc\" data-accordion-type=\"standard\"><div class=\"accordion__item  wp-block-unilux-blocks-accordion-item\">\n    <h3 class=\"accordion__header\"\n        >\n        <button\n            type=\"button\"\n            id=\"accordion-labelledby-cdb9167e-c451-453d-a2be-e45efd22bde6\"\n            class=\"accordion__button collapsed\"\n            aria-expanded=\"false\"\n            aria-controls=\"accordion-panel-cdb9167e-c451-453d-a2be-e45efd22bde6\"\n            data-bs-toggle=\"collapse\"\n            data-bs-target=\"#accordion-panel-cdb9167e-c451-453d-a2be-e45efd22bde6\"\n        >\n            <span class=\"accordion__title\">\n                                1. Open quantum dynamics beyond Gaussian environment            <\/span>\n\n            <svg aria-hidden=\"true\" focusable=\"false\" class=\"icon icon-outline icon--arrow-down \"><use xlink:href=\"https:\/\/www.uni.lu\/wp-content\/themes\/unilux-theme\/assets\/images\/icons\/icons-outline.svg#icon--arrow-down\"><\/use><\/svg>        <\/button>\n    <\/h3>\n    <div id=\"accordion-panel-cdb9167e-c451-453d-a2be-e45efd22bde6\"\n        class=\"accordion__collapse collapse\"\n        aria-labelledby=\"accordion-labelledby-cdb9167e-c451-453d-a2be-e45efd22bde6\"\n        data-bs-parent=\"[data-reference=&quot;f2742caa-fbdd-4368-9ca4-7ba836efccfc&quot;]\"\n    >\n        <div class=\"accordion__body \">\n            \n<p>The aim of the doctoral project is to go beyond the Gaussian description of the environment and derive a description of the open dynamics through a master equation at all coupling strengths, which can interpolate between the Forster and Redfield limits. This will be done by finding the basis that is physically relevant to capture the system and treat perturbatively the rest. In particular, we will focus on non-Markovian effects and systems coupled to a structured environment. The latter will be first modeled with colored noise, which is an extension of the methods currently being developed in the QDC group.<\/p>\n\n<p><sub>Supervised by A. Chenu in collaboration with M. Esposito and A. del Campo.<\/sub><\/p>\n\n<h4 class=\"has-text-align-left wp-block-unilux-blocks-heading\"        id=\"how-to-apply\"\n    >\nHow to apply<\/h4>\n\n<p>Send your CV and a motivation letter to:<\/p>\n<div class=\"icon-info-wrapper\">\n    <ul class=\"wp-block-unilux-blocks-icon-info\">\n        <li class=\"wp-block-unilux-blocks-icon-info-item\">\n    \n<div class=\"wp-block-unilux-blocks-wrapper icon-info\">\n<div class=\"icon--primary icon--secondary-2  wp-block-unilux-blocks-icon-picker\">\n    <svg aria-hidden=\"true\" focusable=\"false\" class=\"icon icon-outline icon--principal-investigator \"><use xlink:href=\"https:\/\/www.uni.lu\/wp-content\/themes\/unilux-theme\/assets\/images\/icons\/icons-outline.svg#icon--principal-investigator\"><\/use><\/svg><\/div>\n\n\n<p class=\"has-1-125-rem-font-size\"><a href=\"https:\/\/www.uni.lu\/fstm-en\/people\/aurelia-chenu\/\">Aur\u00e9lia CHENU<\/a><\/p>\n<\/div>\n<\/li>\n<li class=\"wp-block-unilux-blocks-icon-info-item\">\n    \n<div class=\"wp-block-unilux-blocks-wrapper icon-info\">\n<div class=\"icon--primary icon--secondary-2  wp-block-unilux-blocks-icon-picker\">\n    <svg aria-hidden=\"true\" focusable=\"false\" class=\"icon icon-outline icon--email \"><use xlink:href=\"https:\/\/www.uni.lu\/wp-content\/themes\/unilux-theme\/assets\/images\/icons\/icons-outline.svg#icon--email\"><\/use><\/svg><\/div>\n\n\n<p class=\"has-1-125-rem-font-size\"><a href=\"mailto:aurelia.chenu@uni.lu\" target=\"_blank\" rel=\"noreferrer noopener\">send email<\/a><\/p>\n<\/div>\n<\/li>\n    <\/ul>\n<\/div>\n        <\/div>\n    <\/div>\n<\/div>\n\n<div class=\"accordion__item  wp-block-unilux-blocks-accordion-item\">\n    <h3 class=\"accordion__header\"\n        >\n        <button\n            type=\"button\"\n            id=\"accordion-labelledby-4e1fd16f-7614-49d2-bdeb-2aa549c71bfd\"\n            class=\"accordion__button collapsed\"\n            aria-expanded=\"false\"\n            aria-controls=\"accordion-panel-4e1fd16f-7614-49d2-bdeb-2aa549c71bfd\"\n            data-bs-toggle=\"collapse\"\n            data-bs-target=\"#accordion-panel-4e1fd16f-7614-49d2-bdeb-2aa549c71bfd\"\n        >\n            <span class=\"accordion__title\">\n                                2. Descriptions of open quantum systems in the thermodynamic limit            <\/span>\n\n            <svg aria-hidden=\"true\" focusable=\"false\" class=\"icon icon-outline icon--arrow-down \"><use xlink:href=\"https:\/\/www.uni.lu\/wp-content\/themes\/unilux-theme\/assets\/images\/icons\/icons-outline.svg#icon--arrow-down\"><\/use><\/svg>        <\/button>\n    <\/h3>\n    <div id=\"accordion-panel-4e1fd16f-7614-49d2-bdeb-2aa549c71bfd\"\n        class=\"accordion__collapse collapse\"\n        aria-labelledby=\"accordion-labelledby-4e1fd16f-7614-49d2-bdeb-2aa549c71bfd\"\n        data-bs-parent=\"[data-reference=&quot;f2742caa-fbdd-4368-9ca4-7ba836efccfc&quot;]\"\n    >\n        <div class=\"accordion__body \">\n            \n<p>We will use group theory (more specifically permutation invariance) to provide dynamical and thermodynamic descriptions of open quantum systems in the thermodynamic limit. This would generalize to quantum systems&#8217; recent work on the macroscopic limit of stochastic thermodynamics. This will be used to better characterize the role of quantum effects in nonequilibrium phase transitions and of nonequilibrium dispersive forces.<\/p>\n\n<p><sub>Supervised by M. Esposito in collaboration with A. del Campo and A. Tkatchenko.<\/sub><\/p>\n\n<h4 class=\"has-text-align-left wp-block-unilux-blocks-heading\"        id=\"how-to-apply\"\n    >\nHow to apply<\/h4>\n\n<p>Send your CV and a motivation letter to:<\/p>\n<div class=\"icon-info-wrapper\">\n    <ul class=\"wp-block-unilux-blocks-icon-info\">\n        <li class=\"wp-block-unilux-blocks-icon-info-item\">\n    \n<div class=\"wp-block-unilux-blocks-wrapper icon-info\">\n<div class=\"icon--primary icon--secondary-2  wp-block-unilux-blocks-icon-picker\">\n    <svg aria-hidden=\"true\" focusable=\"false\" class=\"icon icon-outline icon--principal-investigator \"><use xlink:href=\"https:\/\/www.uni.lu\/wp-content\/themes\/unilux-theme\/assets\/images\/icons\/icons-outline.svg#icon--principal-investigator\"><\/use><\/svg><\/div>\n\n\n<p class=\"has-1-125-rem-font-size\"><a href=\"https:\/\/www.uni.lu\/fstm-en\/people\/massimiliano-esposito\/\">Massimiliano ESPOSITO<\/a><\/p>\n<\/div>\n<\/li>\n<li class=\"wp-block-unilux-blocks-icon-info-item\">\n    \n<div class=\"wp-block-unilux-blocks-wrapper icon-info\">\n<div class=\"icon--primary icon--secondary-2  wp-block-unilux-blocks-icon-picker\">\n    <svg aria-hidden=\"true\" focusable=\"false\" class=\"icon icon-outline icon--email \"><use xlink:href=\"https:\/\/www.uni.lu\/wp-content\/themes\/unilux-theme\/assets\/images\/icons\/icons-outline.svg#icon--email\"><\/use><\/svg><\/div>\n\n\n<p class=\"has-1-125-rem-font-size\"><a href=\"mailto:massimiliano.esposito@uni.lu\" target=\"_blank\" rel=\"noreferrer noopener\">send email<\/a><\/p>\n<\/div>\n<\/li>\n    <\/ul>\n<\/div>\n        <\/div>\n    <\/div>\n<\/div>\n\n<div class=\"accordion__item  wp-block-unilux-blocks-accordion-item\">\n    <h3 class=\"accordion__header\"\n                    id=\"3-harmonic-oscillator-based-quantum-batteries\"\n        >\n        <button\n            type=\"button\"\n            id=\"accordion-labelledby-bdd2afb8-05bf-46ef-b02e-6248c44ff74e\"\n            class=\"accordion__button collapsed\"\n            aria-expanded=\"false\"\n            aria-controls=\"accordion-panel-bdd2afb8-05bf-46ef-b02e-6248c44ff74e\"\n            data-bs-toggle=\"collapse\"\n            data-bs-target=\"#accordion-panel-bdd2afb8-05bf-46ef-b02e-6248c44ff74e\"\n        >\n            <span class=\"accordion__title\">\n                                3. Harmonic Oscillator-Based Quantum Batteries            <\/span>\n\n            <svg aria-hidden=\"true\" focusable=\"false\" class=\"icon icon-outline icon--arrow-down \"><use xlink:href=\"https:\/\/www.uni.lu\/wp-content\/themes\/unilux-theme\/assets\/images\/icons\/icons-outline.svg#icon--arrow-down\"><\/use><\/svg>        <\/button>\n    <\/h3>\n    <div id=\"accordion-panel-bdd2afb8-05bf-46ef-b02e-6248c44ff74e\"\n        class=\"accordion__collapse collapse\"\n        aria-labelledby=\"accordion-labelledby-bdd2afb8-05bf-46ef-b02e-6248c44ff74e\"\n        data-bs-parent=\"[data-reference=&quot;f2742caa-fbdd-4368-9ca4-7ba836efccfc&quot;]\"\n    >\n        <div class=\"accordion__body \">\n            \n<p>Quantum batteries have garnered significant attention as a novel energy storage paradigm, leveraging quantum phenomena such as coherence, entanglement, and squeezing to outperform classical counterparts. While a substantial body of research has focused on finite-dimensional systems, particularly spin-based and qubit-based models, the potential of bosonic systems, such as harmonic oscillators, remains underexplored. This research aims to bridge this gap, emphasizing the unique advantages offered by continuous-variable setups, including scalability and compatibility with realistic physical systems, in particular quantum optics and materials.<\/p>\n\n<p>This research focuses on the design and analysis of harmonic oscillator-based quantum batteries, targeting their fundamental properties and practical implementations.<\/p>\n\n<p>Key objectives include:<\/p>\n\n<ol class=\"ulux-list\">\n<li class=\"ulux-list-item\">Expand Existing Frameworks: Extend concepts from finite-dimensional quantum batteries to bosonic systems, investigating how coherence and entanglement manifest differently in infinite-dimensional Hilbert spaces.<\/li>\n\n\n\n<li class=\"ulux-list-item\">Performance Analysis: Quantify energy storage capacity, charging power, and retrieval efficiency, with and without presence of decoherence and thermal noise, with and without disorder.<\/li>\n\n\n\n<li class=\"ulux-list-item\">Scalability and Architecture Optimization: Explore how coupling networks of harmonic oscillators enhance energy storage via collective phenomena. Understand how the connectivity structure is correlated with various proxies of efficiency.<\/li>\n<\/ol>\n\n<p><sub>Supervised by A. Tkatchenko in collaboration with T. Schmidt and A. Chenu<\/sub><\/p>\n\n<h4 class=\"has-text-align-left wp-block-unilux-blocks-heading\"        id=\"how-to-apply\"\n    >\nHow to apply<\/h4>\n\n<p>Send your CV and a motivation letter to:<\/p>\n<div class=\"icon-info-wrapper\">\n    <ul class=\"wp-block-unilux-blocks-icon-info\">\n        <li class=\"wp-block-unilux-blocks-icon-info-item\">\n    \n<div class=\"wp-block-unilux-blocks-wrapper icon-info\">\n<div class=\"icon--primary icon--secondary-2  wp-block-unilux-blocks-icon-picker\">\n    <svg aria-hidden=\"true\" focusable=\"false\" class=\"icon icon-outline icon--principal-investigator \"><use xlink:href=\"https:\/\/www.uni.lu\/wp-content\/themes\/unilux-theme\/assets\/images\/icons\/icons-outline.svg#icon--principal-investigator\"><\/use><\/svg><\/div>\n\n\n<p class=\"has-1-125-rem-font-size\"><a href=\"https:\/\/www.uni.lu\/fstm-en\/people\/alexandre-tkatchenko\/\">Alexandre TKATCHENKO<\/a><\/p>\n<\/div>\n<\/li>\n<li class=\"wp-block-unilux-blocks-icon-info-item\">\n    \n<div class=\"wp-block-unilux-blocks-wrapper icon-info\">\n<div class=\"icon--primary icon--secondary-2  wp-block-unilux-blocks-icon-picker\">\n    <svg aria-hidden=\"true\" focusable=\"false\" class=\"icon icon-outline icon--principal-investigator \"><use xlink:href=\"https:\/\/www.uni.lu\/wp-content\/themes\/unilux-theme\/assets\/images\/icons\/icons-outline.svg#icon--principal-investigator\"><\/use><\/svg><\/div>\n\n\n<p class=\"has-1-125-rem-font-size\"><a href=\"https:\/\/www.uni.lu\/fstm-en\/people\/matthieu-sarkis\/\">Matthieu SARKIS<\/a><\/p>\n<\/div>\n<\/li>\n    <\/ul>\n<\/div>\n        <\/div>\n    <\/div>\n<\/div>\n\n<div class=\"accordion__item  wp-block-unilux-blocks-accordion-item\">\n    <h3 class=\"accordion__header\"\n        >\n        <button\n            type=\"button\"\n            id=\"accordion-labelledby-60c4f863-e95c-4853-abf0-18701d2d6f51\"\n            class=\"accordion__button collapsed\"\n            aria-expanded=\"false\"\n            aria-controls=\"accordion-panel-60c4f863-e95c-4853-abf0-18701d2d6f51\"\n            data-bs-toggle=\"collapse\"\n            data-bs-target=\"#accordion-panel-60c4f863-e95c-4853-abf0-18701d2d6f51\"\n        >\n            <span class=\"accordion__title\">\n                                4. Decoherence processes for optical excitations            <\/span>\n\n            <svg aria-hidden=\"true\" focusable=\"false\" class=\"icon icon-outline icon--arrow-down \"><use xlink:href=\"https:\/\/www.uni.lu\/wp-content\/themes\/unilux-theme\/assets\/images\/icons\/icons-outline.svg#icon--arrow-down\"><\/use><\/svg>        <\/button>\n    <\/h3>\n    <div id=\"accordion-panel-60c4f863-e95c-4853-abf0-18701d2d6f51\"\n        class=\"accordion__collapse collapse\"\n        aria-labelledby=\"accordion-labelledby-60c4f863-e95c-4853-abf0-18701d2d6f51\"\n        data-bs-parent=\"[data-reference=&quot;f2742caa-fbdd-4368-9ca4-7ba836efccfc&quot;]\"\n    >\n        <div class=\"accordion__body \">\n            \n<p>Optical excitations and their coherent quantum dynamics play a key role for many quantum-technologies. These excitations can take place at specific defect sites in wide band gap semiconductors (e.g., hexagonal boron nitride) hexagonal boron nitride (where they have been shown to be potential single-photon emitters). Or they take place in the form of strongly bound excitons, e.g., in 2D materials where excitonic effects are particularly pronounced. Accurate calculation methods for the time-development of these excitations are still in their infancy. Exact exciton-phonon coupling needs to be calculated to understand luminescence lineshapes and decoherence phenomena. Building upon our previous works, we will develop time-dependent many-body perturbation theory to follow the excitation of materials with a specifically shaped laser pulse in real time. We will take into account the coupling to a &#8220;phonon bath&#8221; and thus gain information about decoherence processes. Our simulations will accompany the experimental work of PhD7.<\/p>\n\n<p><sub>Supervised by L. Wirtz in collaboration with D. Brida<\/sub><\/p>\n\n<h4 class=\"has-text-align-left wp-block-unilux-blocks-heading\"        id=\"how-to-apply\"\n    >\nHow to apply<\/h4>\n\n<p>Send your CV and a motivation letter to:<\/p>\n<div class=\"icon-info-wrapper\">\n    <ul class=\"wp-block-unilux-blocks-icon-info\">\n        <li class=\"wp-block-unilux-blocks-icon-info-item\">\n    \n<div class=\"wp-block-unilux-blocks-wrapper icon-info\">\n<div class=\"icon--primary icon--secondary-2  wp-block-unilux-blocks-icon-picker\">\n    <svg aria-hidden=\"true\" focusable=\"false\" class=\"icon icon-outline icon--principal-investigator \"><use xlink:href=\"https:\/\/www.uni.lu\/wp-content\/themes\/unilux-theme\/assets\/images\/icons\/icons-outline.svg#icon--principal-investigator\"><\/use><\/svg><\/div>\n\n\n<p class=\"has-1-125-rem-font-size\"><a href=\"https:\/\/www.uni.lu\/fstm-en\/people\/ludger-wirtz\/\">Ludger WIRTZ<\/a><\/p>\n<\/div>\n<\/li>\n<li class=\"wp-block-unilux-blocks-icon-info-item\">\n    \n<div class=\"wp-block-unilux-blocks-wrapper icon-info\">\n<div class=\"icon--primary icon--secondary-2  wp-block-unilux-blocks-icon-picker\">\n    <svg aria-hidden=\"true\" focusable=\"false\" class=\"icon icon-outline icon--email \"><use xlink:href=\"https:\/\/www.uni.lu\/wp-content\/themes\/unilux-theme\/assets\/images\/icons\/icons-outline.svg#icon--email\"><\/use><\/svg><\/div>\n\n\n<p class=\"has-1-125-rem-font-size\"><a href=\"mailto:ludger.wirtz@uni.lu\" target=\"_blank\" rel=\"noreferrer noopener\">send email<\/a><\/p>\n<\/div>\n<\/li>\n    <\/ul>\n<\/div>\n        <\/div>\n    <\/div>\n<\/div>\n\n<div class=\"accordion__item  wp-block-unilux-blocks-accordion-item\">\n    <h3 class=\"accordion__header\"\n        >\n        <button\n            type=\"button\"\n            id=\"accordion-labelledby-8a8100ab-7bfd-4abe-8cc6-76bcf699e8bc\"\n            class=\"accordion__button collapsed\"\n            aria-expanded=\"false\"\n            aria-controls=\"accordion-panel-8a8100ab-7bfd-4abe-8cc6-76bcf699e8bc\"\n            data-bs-toggle=\"collapse\"\n            data-bs-target=\"#accordion-panel-8a8100ab-7bfd-4abe-8cc6-76bcf699e8bc\"\n        >\n            <span class=\"accordion__title\">\n                                5. Semiclassical and quantum dynamics in materials with topologically nontrivial band structures            <\/span>\n\n            <svg aria-hidden=\"true\" focusable=\"false\" class=\"icon icon-outline icon--arrow-down \"><use xlink:href=\"https:\/\/www.uni.lu\/wp-content\/themes\/unilux-theme\/assets\/images\/icons\/icons-outline.svg#icon--arrow-down\"><\/use><\/svg>        <\/button>\n    <\/h3>\n    <div id=\"accordion-panel-8a8100ab-7bfd-4abe-8cc6-76bcf699e8bc\"\n        class=\"accordion__collapse collapse\"\n        aria-labelledby=\"accordion-labelledby-8a8100ab-7bfd-4abe-8cc6-76bcf699e8bc\"\n        data-bs-parent=\"[data-reference=&quot;f2742caa-fbdd-4368-9ca4-7ba836efccfc&quot;]\"\n    >\n        <div class=\"accordion__body \">\n            \n<p>This theory project will focus on semiclassical and quantum dynamics in materials with topologically nontrivial band structures. Regarding materials, we will focus on two-dimensional materials, e.g., van der Waals heterostructures of transition metal dichalcogenides as well as graphene-like systems with induced spin-orbit coupling. These systems offer interesting condensed-matter analogs to relativistic systems because the low-energy electron dispersion relations are identical to those of relativistic fermions. In particular, we aim to study how slow space- and time-dependent perturbations, generated by electric and magnetic fields as well as strains and temperature gradients, can be described using general relativistic models with curved spacetimes. Since some of these perturbations give rise to \u201ctilted\u201d Dirac spectra in materials, the resulting nontrivial electron dynamics can allow one to design \u201ctiltronics\u201d devices, where position- and time-dependent tilts can be used to steer an electron current. In this project, we will further study this topic by starting the investigation from the semiclassical dynamics of wave packets and proceeding to a fully quantum mechanical description.<\/p>\n\n<p><sub>Supervised by T. Schmidt in collaboration with A. Tkatchenko and L. Wirtz.<\/sub><\/p>\n\n<h4 class=\"has-text-align-left wp-block-unilux-blocks-heading\"        id=\"how-to-apply\"\n    >\nHow to apply<\/h4>\n\n<p>Send your CV and a motivation letter to:<\/p>\n<div class=\"icon-info-wrapper\">\n    <ul class=\"wp-block-unilux-blocks-icon-info\">\n        <li class=\"wp-block-unilux-blocks-icon-info-item\">\n    \n<div class=\"wp-block-unilux-blocks-wrapper icon-info\">\n<div class=\"icon--primary icon--secondary-2  wp-block-unilux-blocks-icon-picker\">\n    <svg aria-hidden=\"true\" focusable=\"false\" class=\"icon icon-outline icon--principal-investigator \"><use xlink:href=\"https:\/\/www.uni.lu\/wp-content\/themes\/unilux-theme\/assets\/images\/icons\/icons-outline.svg#icon--principal-investigator\"><\/use><\/svg><\/div>\n\n\n<p class=\"has-1-125-rem-font-size\"><a href=\"https:\/\/www.uni.lu\/fstm-en\/people\/thomas-schmidt\/\">Thomas SCHMIDT<\/a><\/p>\n<\/div>\n<\/li>\n<li class=\"wp-block-unilux-blocks-icon-info-item\">\n    \n<div class=\"wp-block-unilux-blocks-wrapper icon-info\">\n<div class=\"icon--primary icon--secondary-2  wp-block-unilux-blocks-icon-picker\">\n    <svg aria-hidden=\"true\" focusable=\"false\" class=\"icon icon-outline icon--email \"><use xlink:href=\"https:\/\/www.uni.lu\/wp-content\/themes\/unilux-theme\/assets\/images\/icons\/icons-outline.svg#icon--email\"><\/use><\/svg><\/div>\n\n\n<p class=\"has-1-125-rem-font-size\"><a href=\"mailto:thomas.schmidt@uni.lu\" target=\"_blank\" rel=\"noreferrer noopener\">send email<\/a><\/p>\n<\/div>\n<\/li>\n    <\/ul>\n<\/div>\n        <\/div>\n    <\/div>\n<\/div>\n\n<div class=\"accordion__item  wp-block-unilux-blocks-accordion-item\">\n    <h3 class=\"accordion__header\"\n        >\n        <button\n            type=\"button\"\n            id=\"accordion-labelledby-545c89dd-45e9-4d50-9f19-dea456177299\"\n            class=\"accordion__button collapsed\"\n            aria-expanded=\"false\"\n            aria-controls=\"accordion-panel-545c89dd-45e9-4d50-9f19-dea456177299\"\n            data-bs-toggle=\"collapse\"\n            data-bs-target=\"#accordion-panel-545c89dd-45e9-4d50-9f19-dea456177299\"\n        >\n            <span class=\"accordion__title\">\n                                6. Quantum algorithms for quantum optimization using the counterdiabatic driving with Krylov methods            <\/span>\n\n            <svg aria-hidden=\"true\" focusable=\"false\" class=\"icon icon-outline icon--arrow-down \"><use xlink:href=\"https:\/\/www.uni.lu\/wp-content\/themes\/unilux-theme\/assets\/images\/icons\/icons-outline.svg#icon--arrow-down\"><\/use><\/svg>        <\/button>\n    <\/h3>\n    <div id=\"accordion-panel-545c89dd-45e9-4d50-9f19-dea456177299\"\n        class=\"accordion__collapse collapse\"\n        aria-labelledby=\"accordion-labelledby-545c89dd-45e9-4d50-9f19-dea456177299\"\n        data-bs-parent=\"[data-reference=&quot;f2742caa-fbdd-4368-9ca4-7ba836efccfc&quot;]\"\n    >\n        <div class=\"accordion__body \">\n            \n<p>Salient applications of quantum computing are focused on quantum optimization, for use cases such as portfolio optimization and protein folding. The latter are under exhaustive investigation worldwide using variational quantum algorithms, that reduce such problems of industrial and societal interest, to finding low-energy configurations of a given problem Hamiltonian. Recent research has shown that heuristic quantum algorithms for quantum optimization such as the Quantum Approximate Optimization Algorithm (QAOA) can be improved in combination with techniques developed in the context of Shortcuts To Adiabaticity, aimed at speeding up the dynamics of quantum systems. The application of these techniques to many-body systems has been pioneered by the PI. In particular, accumulated evidence indicates that variational quantum algorithms can be improved by the use of Digitized counter-diabatic driving to enhance the operator pool of the ansatz used in the underlying parameterized quantum circuit. Such algorithms still rely on classical optimizers for their implementation. However, the need for the latter is not necessary and can be removed. The thesis aims at developing a new class of quantum algorithms for quantum optimization using the counterdiabatic driving with Krylov subspace methods.<\/p>\n\n<p><sub>Supervised by A. del Campo in collaboration with A. Tkatchenko, and P. Ryan and P. Roenne at SnT.<\/sub><\/p>\n\n<h4 class=\"has-text-align-left wp-block-unilux-blocks-heading\"        id=\"how-to-apply\"\n    >\nHow to apply<\/h4>\n\n<p>Send your CV and a motivation letter to:<\/p>\n<div class=\"icon-info-wrapper\">\n    <ul class=\"wp-block-unilux-blocks-icon-info\">\n        <li class=\"wp-block-unilux-blocks-icon-info-item\">\n    \n<div class=\"wp-block-unilux-blocks-wrapper icon-info\">\n<div class=\"icon--primary icon--secondary-2  wp-block-unilux-blocks-icon-picker\">\n    <svg aria-hidden=\"true\" focusable=\"false\" class=\"icon icon-outline icon--principal-investigator \"><use xlink:href=\"https:\/\/www.uni.lu\/wp-content\/themes\/unilux-theme\/assets\/images\/icons\/icons-outline.svg#icon--principal-investigator\"><\/use><\/svg><\/div>\n\n\n<p class=\"has-1-125-rem-font-size\"><a href=\"https:\/\/www.uni.lu\/fstm-en\/people\/adolfo-del-campo-echevarria\/\">Adolfo DEL CAMPO ECHEVARRIA<\/a><\/p>\n<\/div>\n<\/li>\n<li class=\"wp-block-unilux-blocks-icon-info-item\">\n    \n<div class=\"wp-block-unilux-blocks-wrapper icon-info\">\n<div class=\"icon--primary icon--secondary-2  wp-block-unilux-blocks-icon-picker\">\n    <svg aria-hidden=\"true\" focusable=\"false\" class=\"icon icon-outline icon--email \"><use xlink:href=\"https:\/\/www.uni.lu\/wp-content\/themes\/unilux-theme\/assets\/images\/icons\/icons-outline.svg#icon--email\"><\/use><\/svg><\/div>\n\n\n<p class=\"has-1-125-rem-font-size\"><a href=\"mailto:adolfo.delcampo@uni.lu\" target=\"_blank\" rel=\"noreferrer noopener\">send email<\/a><\/p>\n<\/div>\n<\/li>\n    <\/ul>\n<\/div>\n        <\/div>\n    <\/div>\n<\/div>\n\n<div class=\"accordion__item  wp-block-unilux-blocks-accordion-item\">\n    <h3 class=\"accordion__header\"\n        >\n        <button\n            type=\"button\"\n            id=\"accordion-labelledby-b7b358cb-62c2-4212-98e3-b91ebd07158e\"\n            class=\"accordion__button collapsed\"\n            aria-expanded=\"false\"\n            aria-controls=\"accordion-panel-b7b358cb-62c2-4212-98e3-b91ebd07158e\"\n            data-bs-toggle=\"collapse\"\n            data-bs-target=\"#accordion-panel-b7b358cb-62c2-4212-98e3-b91ebd07158e\"\n        >\n            <span class=\"accordion__title\">\n                                7. Multidimensional investigations of quantum dynamics in 2D materials            <\/span>\n\n            <svg aria-hidden=\"true\" focusable=\"false\" class=\"icon icon-outline icon--arrow-down \"><use xlink:href=\"https:\/\/www.uni.lu\/wp-content\/themes\/unilux-theme\/assets\/images\/icons\/icons-outline.svg#icon--arrow-down\"><\/use><\/svg>        <\/button>\n    <\/h3>\n    <div id=\"accordion-panel-b7b358cb-62c2-4212-98e3-b91ebd07158e\"\n        class=\"accordion__collapse collapse\"\n        aria-labelledby=\"accordion-labelledby-b7b358cb-62c2-4212-98e3-b91ebd07158e\"\n        data-bs-parent=\"[data-reference=&quot;f2742caa-fbdd-4368-9ca4-7ba836efccfc&quot;]\"\n    >\n        <div class=\"accordion__body \">\n            \n<p>By illuminating matter with extremely short pulses of light it becomes possible to observe the dynamics induced by photon absorption at the level of the fundamental quantum interactions and at the temporal scale at which they occur. In this context, the doctoral student will employ advanced techniques that make use of a multi-pulse approach to access several temporal and frequency dimensions for the observation of quantum interactions in materials like 2D chalcogenides. It will be possible to investigate how excitons, phonons, carriers and spins interact in complex band-structure landscapes. The main samples for the experimental studies will be layered semiconductors and heterostructures where the excitation leads to dynamical phenomena connected to quantum many-body interactions. The interest to perform these experiments lays on the potential use of these novel materials for quantum technology applications. The project finds a natural interaction with the theoretical description and modeling of time-domain phenomena in complex systems.<\/p>\n\n<p><sub>Supervised by D. Brida in collaboration with L. Wirtz and A. Tkatchenko DB.<\/sub><\/p>\n\n<h4 class=\"has-text-align-left wp-block-unilux-blocks-heading\"        id=\"how-to-apply\"\n    >\nHow to apply<\/h4>\n\n<p>Send your CV and a motivation letter to:<\/p>\n<div class=\"icon-info-wrapper\">\n    <ul class=\"wp-block-unilux-blocks-icon-info\">\n        <li class=\"wp-block-unilux-blocks-icon-info-item\">\n    \n<div class=\"wp-block-unilux-blocks-wrapper icon-info\">\n<div class=\"icon--primary icon--secondary-2  wp-block-unilux-blocks-icon-picker\">\n    <svg aria-hidden=\"true\" focusable=\"false\" class=\"icon icon-outline icon--principal-investigator \"><use xlink:href=\"https:\/\/www.uni.lu\/wp-content\/themes\/unilux-theme\/assets\/images\/icons\/icons-outline.svg#icon--principal-investigator\"><\/use><\/svg><\/div>\n\n\n<p class=\"has-1-125-rem-font-size\"><a href=\"https:\/\/www.uni.lu\/fstm-en\/people\/daniele-brida\/\">Daniele BRIDA<\/a><\/p>\n<\/div>\n<\/li>\n<li class=\"wp-block-unilux-blocks-icon-info-item\">\n    \n<div class=\"wp-block-unilux-blocks-wrapper icon-info\">\n<div class=\"icon--primary icon--secondary-2  wp-block-unilux-blocks-icon-picker\">\n    <svg aria-hidden=\"true\" focusable=\"false\" class=\"icon icon-outline icon--email \"><use xlink:href=\"https:\/\/www.uni.lu\/wp-content\/themes\/unilux-theme\/assets\/images\/icons\/icons-outline.svg#icon--email\"><\/use><\/svg><\/div>\n\n\n<p class=\"has-1-125-rem-font-size\"><a href=\"mailto:daniele.brida@uni.lu\" target=\"_blank\" rel=\"noreferrer noopener\">send email<\/a><\/p>\n<\/div>\n<\/li>\n    <\/ul>\n<\/div>\n        <\/div>\n    <\/div>\n<\/div>\n\n<div class=\"accordion__item  wp-block-unilux-blocks-accordion-item\">\n    <h3 class=\"accordion__header\"\n        >\n        <button\n            type=\"button\"\n            id=\"accordion-labelledby-f43aad94-421d-4a78-ac14-c563c15efa68\"\n            class=\"accordion__button collapsed\"\n            aria-expanded=\"false\"\n            aria-controls=\"accordion-panel-f43aad94-421d-4a78-ac14-c563c15efa68\"\n            data-bs-toggle=\"collapse\"\n            data-bs-target=\"#accordion-panel-f43aad94-421d-4a78-ac14-c563c15efa68\"\n        >\n            <span class=\"accordion__title\">\n                                8. Quantum measurement in strongly interacting systems            <\/span>\n\n            <svg aria-hidden=\"true\" focusable=\"false\" class=\"icon icon-outline icon--arrow-down \"><use xlink:href=\"https:\/\/www.uni.lu\/wp-content\/themes\/unilux-theme\/assets\/images\/icons\/icons-outline.svg#icon--arrow-down\"><\/use><\/svg>        <\/button>\n    <\/h3>\n    <div id=\"accordion-panel-f43aad94-421d-4a78-ac14-c563c15efa68\"\n        class=\"accordion__collapse collapse\"\n        aria-labelledby=\"accordion-labelledby-f43aad94-421d-4a78-ac14-c563c15efa68\"\n        data-bs-parent=\"[data-reference=&quot;f2742caa-fbdd-4368-9ca4-7ba836efccfc&quot;]\"\n    >\n        <div class=\"accordion__body \">\n            \n<p>Truly quantum behaviour can be witnessed by correlation functions that are non-Gaussian, i.e. that have no classical equivalence. Current theories of quantum measurement are based on Glauber theory, which has been successful to shed light into the relations between the classical and quantum theories of light. We aim to extend the theory of quantum measurement for strongly interacting systems, in order to quantitatively describe how strong or long-range interactions affect observables and correlation functions. This will be looked for using field-theory, based on experimentally accessible correlators. We consider the use of quantum trajectory methods, to unravel for parameter estimation including the effect of quantum measurement. This formalism can lead to the development of protocols to control quantum matter using feedback.<\/p>\n\n<p><sub>Supervised by A. Chenu in collaboration with A. del Campo, A. Tkatchenko.<\/sub><\/p>\n\n<h4 class=\"has-text-align-left wp-block-unilux-blocks-heading\"        id=\"how-to-apply\"\n    >\nHow to apply<\/h4>\n\n<p>Send your CV and a motivation letter to:<\/p>\n<div class=\"icon-info-wrapper\">\n    <ul class=\"wp-block-unilux-blocks-icon-info\">\n        <li class=\"wp-block-unilux-blocks-icon-info-item\">\n    \n<div class=\"wp-block-unilux-blocks-wrapper icon-info\">\n<div class=\"icon--primary icon--secondary-2  wp-block-unilux-blocks-icon-picker\">\n    <svg aria-hidden=\"true\" focusable=\"false\" class=\"icon icon-outline icon--principal-investigator \"><use xlink:href=\"https:\/\/www.uni.lu\/wp-content\/themes\/unilux-theme\/assets\/images\/icons\/icons-outline.svg#icon--principal-investigator\"><\/use><\/svg><\/div>\n\n\n<p class=\"has-1-125-rem-font-size\"><a href=\"https:\/\/www.uni.lu\/fstm-en\/people\/aurelia-chenu\/\">Aur\u00e9lia CHENU<\/a><\/p>\n<\/div>\n<\/li>\n<li class=\"wp-block-unilux-blocks-icon-info-item\">\n    \n<div class=\"wp-block-unilux-blocks-wrapper icon-info\">\n<div class=\"icon--primary icon--secondary-2  wp-block-unilux-blocks-icon-picker\">\n    <svg aria-hidden=\"true\" focusable=\"false\" class=\"icon icon-outline icon--email \"><use xlink:href=\"https:\/\/www.uni.lu\/wp-content\/themes\/unilux-theme\/assets\/images\/icons\/icons-outline.svg#icon--email\"><\/use><\/svg><\/div>\n\n\n<p class=\"has-1-125-rem-font-size\"><a href=\"mailto:aurelia.chenu@uni.lu\" target=\"_blank\" rel=\"noreferrer noopener\">send email<\/a><\/p>\n<\/div>\n<\/li>\n    <\/ul>\n<\/div>\n        <\/div>\n    <\/div>\n<\/div><\/div>\n<\/div><\/div>        <\/div>\n    <\/div>\n<\/section>\n\n\n<section class=\"wp-block-unilux-blocks-free-section section\"><div class=\"container xl:max-w-screen-xl\">\n<h2 class=\"has-text-align-left wp-block-unilux-blocks-heading\"        id=\"career-development\"\n    >\nCareer development<\/h2>\n\n\n\n<p><strong>Training and career development<\/strong><\/p>\n\n\n\n<p>The QUANCOM doctoral candidates will be trained as quantum physicists with a very solid foundation of condensed matter physics, especially in (i) ab-initio calculations, (ii) quantum optics and quantum information and (iii) statistical mechanics with a specific strength in understanding nonequilibrium quantum properties in different models (integrable, chaotic, low-dimensional, molecular) across the different time scales. The training will be structured among 3 pillars: i) doctoral school training, mainly for transferable skills, ii) DTU in-house tailored training and career development, and iii) DTU tailored training by external partners.<\/p>\n\n\n\n<p><strong>Doctoral schools and doctoral program<\/strong><\/p>\n\n\n\n<p>The doctoral candidates in the DTU will be enrolled into the <a href=\"https:\/\/www.uni.lu\/research-en\/doctoral-education\/dsse\/complex-systems-science\/\">Doctoral School in Science and Engineer (DSSE)<\/a>. The DSSE offers 7 programs including the Physics and Material Sciences (DPPM). The program offers specialized modules in disciplinary training, interdisciplinary training and transferable skills, detailed in the table below. The DTU training program will be included in the course program with the corresponding ECTS.<\/p>\n\n\n\n<p><strong>QUANCOM training<\/strong><\/p>\n\n\n\n<p>Our training strategy aims to provide doctoral candidates with a solid foundation of theory and experiments. In addition to the individual research project, the candidates will have the opportunity to exchange through weekly quantum forums to encourage discussion on the research questions, challenges and approaches. This weekly meeting will gather the QUANCOM doctoral candidates, who will start with a 5-min round table each on their weekly updates, and 1 PI of the DTU (rotating each week). The follow-up discussion will revolve around lectures and workshops featuring prominent experts throughout the duration of the DTU program. A retreat will be held annually for all PIs and doctoral candidates.<\/p>\n\n\n\n<p><strong>Training of multifaceted physicists<\/strong><\/p>\n\n\n\n<p>The training programme aims to build a framework for the quantum-smart workforce through rigorous training on fundamental theory (non-adiabatic dynamics, quantum transport, control techniques, nonequilibrium phase transition, complexity<br>of quantum dynamics), computational tools (ab-initial calculations, machine learning, many-body perturbation theory, large deviation techniques, path integral, random matrices theory, etc), and experience on an optical setup (ultrafast laser pulses). The common courses will form the students in modern physics; in addition, a second-phase training will offer demand-driven courses which are tailored to skills needed by the group of students. These will be identified from the weekly meetings and discussed in the midterm retreat before being implemented.<\/p>\n\n\n\n<p><strong>Career development<\/strong><\/p>\n\n\n\n<p>Luxembourg offers a unique environment for doctoral students to grow as researchers. UniLu offers transferable skills, including career development, lecturing and teaching, proposal writing, presentation and communication skills, project management, academic best practices, open science, IP management, as well as entrepreneurship training. FNR, Luxinnovation and Research Luxembourg offer workshops on grant writing, events for science communication, training on spin-offs and business skills and various opportunities to engage in public outreach (Chercheurs \u00e0 l\u2019\u00e9cole, Scicom events, etc.). There are also mentor programs for researchers, such as <a href=\"https:\/\/www.uni.lu\/en\/about\/gender-equality\/advance-mentoring-programme\/\">ADVANCE<\/a>. QUANCOM&#8217;s goal is to build competent and resilient researchers who bridge the gap across different physics disciplines, constituting a cohort of solid, creative physicists capable of shaping the second quantum revolution.<\/p>\n<\/div><\/section>\n\n\n\n<section class=\"py-0 wp-block-unilux-blocks-free-section section\"><div class=\"container xl:max-w-screen-xl\">\n<h2 class=\"has-text-align-left wp-block-unilux-blocks-heading\"        id=\"doctoral-courses\"\n    >\nDoctoral courses<\/h2>\n\n\n\n<div class=\"wp-block-unilux-blocks-accordion accordion accordion--theme accordion-standard\" data-reference=\"38a57c75-ba65-41c8-82e3-943432c45bec\" data-accordion-type=\"standard\"><div class=\"accordion__item  wp-block-unilux-blocks-accordion-item\">\n    <h3 class=\"accordion__header\"\n        >\n        <button\n            type=\"button\"\n            id=\"accordion-labelledby-a7c35552-7c69-486e-aeac-fc8fe16002e3\"\n            class=\"accordion__button collapsed\"\n            aria-expanded=\"false\"\n            aria-controls=\"accordion-panel-a7c35552-7c69-486e-aeac-fc8fe16002e3\"\n            data-bs-toggle=\"collapse\"\n            data-bs-target=\"#accordion-panel-a7c35552-7c69-486e-aeac-fc8fe16002e3\"\n        >\n            <span class=\"accordion__title\">\n                                The theory of open quantum systems (1 ECTS)            <\/span>\n\n            <svg aria-hidden=\"true\" focusable=\"false\" class=\"icon icon-outline icon--arrow-down \"><use xlink:href=\"https:\/\/www.uni.lu\/wp-content\/themes\/unilux-theme\/assets\/images\/icons\/icons-outline.svg#icon--arrow-down\"><\/use><\/svg>        <\/button>\n    <\/h3>\n    <div id=\"accordion-panel-a7c35552-7c69-486e-aeac-fc8fe16002e3\"\n        class=\"accordion__collapse collapse\"\n        aria-labelledby=\"accordion-labelledby-a7c35552-7c69-486e-aeac-fc8fe16002e3\"\n        data-bs-parent=\"[data-reference=&quot;38a57c75-ba65-41c8-82e3-943432c45bec&quot;]\"\n    >\n        <div class=\"accordion__body \">\n            \n<ul class=\"wp-block-unilux-blocks-highlighted-list list-highlighted list-highlighted--architectural\"><li class=\"list-highlighted__item  wp-block-unilux-blocks-highlighted-list-item\">\n    <header class=\"list-highlighted__header wp-block-unilux-blocks-highlighted-list-item-header\">\n    \n<h4 class=\"title text-18 font-bold has-text-align-left wp-block-unilux-blocks-heading\"        id=\"aim-workload\"\n    >\nAim &amp; workload<\/h4>\n<div class=\"wp-block-unilux-blocks-bigtext\">\n    <span>\n        \n    <\/span>\n<\/div><\/header><div class=\"list-highlighted__body wp-block-unilux-blocks-highlighted-list-item-body\">\n    <div class=\"wp-block-unilux-blocks-highlighted-list-item-free-content-area\">\n    \n<p><strong>Number of ECTS: <\/strong>1<br><strong>In-person course workload (hrs):<\/strong> 12<br><strong>Homework workload (hrs):<\/strong> 8<\/p>\n\n<p>Introduction of the tools to describe the dynamics of quantum systems interacting with an environment.<\/p>\n<\/div><\/div><\/li>\n\n<li class=\"list-highlighted__item  wp-block-unilux-blocks-highlighted-list-item\">\n    <header class=\"list-highlighted__header wp-block-unilux-blocks-highlighted-list-item-header\">\n    \n<h4 class=\"title text-18 font-bold has-text-align-left wp-block-unilux-blocks-heading\"        id=\"organiser\"\n    >\nOrganiser<\/h4>\n<div class=\"wp-block-unilux-blocks-bigtext\">\n    <span>\n        \n    <\/span>\n<\/div><\/header><div class=\"list-highlighted__body wp-block-unilux-blocks-highlighted-list-item-body\">\n    <div class=\"wp-block-unilux-blocks-highlighted-list-item-free-content-area\">\n    \n<p>AC, ME<\/p>\n<\/div><\/div><\/li><\/ul>\n        <\/div>\n    <\/div>\n<\/div>\n\n<div class=\"accordion__item  wp-block-unilux-blocks-accordion-item\">\n    <h3 class=\"accordion__header\"\n        >\n        <button\n            type=\"button\"\n            id=\"accordion-labelledby-ba48bea6-7579-4768-ab14-a50b46d1f958\"\n            class=\"accordion__button collapsed\"\n            aria-expanded=\"false\"\n            aria-controls=\"accordion-panel-ba48bea6-7579-4768-ab14-a50b46d1f958\"\n            data-bs-toggle=\"collapse\"\n            data-bs-target=\"#accordion-panel-ba48bea6-7579-4768-ab14-a50b46d1f958\"\n        >\n            <span class=\"accordion__title\">\n                                Quantum optics (1 ECTS)            <\/span>\n\n            <svg aria-hidden=\"true\" focusable=\"false\" class=\"icon icon-outline icon--arrow-down \"><use xlink:href=\"https:\/\/www.uni.lu\/wp-content\/themes\/unilux-theme\/assets\/images\/icons\/icons-outline.svg#icon--arrow-down\"><\/use><\/svg>        <\/button>\n    <\/h3>\n    <div id=\"accordion-panel-ba48bea6-7579-4768-ab14-a50b46d1f958\"\n        class=\"accordion__collapse collapse\"\n        aria-labelledby=\"accordion-labelledby-ba48bea6-7579-4768-ab14-a50b46d1f958\"\n        data-bs-parent=\"[data-reference=&quot;38a57c75-ba65-41c8-82e3-943432c45bec&quot;]\"\n    >\n        <div class=\"accordion__body \">\n            \n<ul class=\"wp-block-unilux-blocks-highlighted-list list-highlighted list-highlighted--architectural\"><li class=\"list-highlighted__item  wp-block-unilux-blocks-highlighted-list-item\">\n    <header class=\"list-highlighted__header wp-block-unilux-blocks-highlighted-list-item-header\">\n    \n<h4 class=\"title text-18 font-bold has-text-align-left wp-block-unilux-blocks-heading\"        id=\"aim-workload\"\n    >\nAim &amp; workload<\/h4>\n<div class=\"wp-block-unilux-blocks-bigtext\">\n    <span>\n        \n    <\/span>\n<\/div><\/header><div class=\"list-highlighted__body wp-block-unilux-blocks-highlighted-list-item-body\">\n    <div class=\"wp-block-unilux-blocks-highlighted-list-item-free-content-area\">\n    \n<p><strong>Number of ECTS: <\/strong>1<br><strong>In-person course workload (hrs):<\/strong> 15<br><strong>Homework workload (hrs):<\/strong> 10<\/p>\n\n<p>This course will give an introduction to quantum optics: quantization of the electromagnetic field,<br>quantum states of light and their representation, atom-field interaction, cavity QED, Jaynes-Cummings model, squeezed light, optical master equation.<\/p>\n<\/div><\/div><\/li>\n\n<li class=\"list-highlighted__item  wp-block-unilux-blocks-highlighted-list-item\">\n    <header class=\"list-highlighted__header wp-block-unilux-blocks-highlighted-list-item-header\">\n    \n<h4 class=\"title text-18 font-bold has-text-align-left wp-block-unilux-blocks-heading\"        id=\"organiser\"\n    >\nOrganiser<\/h4>\n<div class=\"wp-block-unilux-blocks-bigtext\">\n    <span>\n        \n    <\/span>\n<\/div><\/header><div class=\"list-highlighted__body wp-block-unilux-blocks-highlighted-list-item-body\">\n    <div class=\"wp-block-unilux-blocks-highlighted-list-item-free-content-area\">\n    \n<p>AC + group<\/p>\n<\/div><\/div><\/li><\/ul>\n        <\/div>\n    <\/div>\n<\/div>\n\n<div class=\"accordion__item  wp-block-unilux-blocks-accordion-item\">\n    <h3 class=\"accordion__header\"\n        >\n        <button\n            type=\"button\"\n            id=\"accordion-labelledby-2350ab7d-a3f2-4423-9910-8874d4cdd11f\"\n            class=\"accordion__button collapsed\"\n            aria-expanded=\"false\"\n            aria-controls=\"accordion-panel-2350ab7d-a3f2-4423-9910-8874d4cdd11f\"\n            data-bs-toggle=\"collapse\"\n            data-bs-target=\"#accordion-panel-2350ab7d-a3f2-4423-9910-8874d4cdd11f\"\n        >\n            <span class=\"accordion__title\">\n                                Quantum platforms (1 ECTS)            <\/span>\n\n            <svg aria-hidden=\"true\" focusable=\"false\" class=\"icon icon-outline icon--arrow-down \"><use xlink:href=\"https:\/\/www.uni.lu\/wp-content\/themes\/unilux-theme\/assets\/images\/icons\/icons-outline.svg#icon--arrow-down\"><\/use><\/svg>        <\/button>\n    <\/h3>\n    <div id=\"accordion-panel-2350ab7d-a3f2-4423-9910-8874d4cdd11f\"\n        class=\"accordion__collapse collapse\"\n        aria-labelledby=\"accordion-labelledby-2350ab7d-a3f2-4423-9910-8874d4cdd11f\"\n        data-bs-parent=\"[data-reference=&quot;38a57c75-ba65-41c8-82e3-943432c45bec&quot;]\"\n    >\n        <div class=\"accordion__body \">\n            \n<ul class=\"wp-block-unilux-blocks-highlighted-list list-highlighted list-highlighted--architectural\"><li class=\"list-highlighted__item  wp-block-unilux-blocks-highlighted-list-item\">\n    <header class=\"list-highlighted__header wp-block-unilux-blocks-highlighted-list-item-header\">\n    \n<h4 class=\"title text-18 font-bold has-text-align-left wp-block-unilux-blocks-heading\"        id=\"aim-workload\"\n    >\nAim &amp; workload<\/h4>\n<div class=\"wp-block-unilux-blocks-bigtext\">\n    <span>\n        \n    <\/span>\n<\/div><\/header><div class=\"list-highlighted__body wp-block-unilux-blocks-highlighted-list-item-body\">\n    <div class=\"wp-block-unilux-blocks-highlighted-list-item-free-content-area\">\n    \n<p><strong>Number of ECTS: <\/strong>1<br><strong>In-person course workload (hrs):<\/strong> 10<br><strong>Homework workload (hrs):<\/strong> 6<\/p>\n\n<p>Introduction to the different hardwares for quantum platforms, including SC qubits, topological qubits, colored centers.<\/p>\n<\/div><\/div><\/li>\n\n<li class=\"list-highlighted__item  wp-block-unilux-blocks-highlighted-list-item\">\n    <header class=\"list-highlighted__header wp-block-unilux-blocks-highlighted-list-item-header\">\n    \n<h4 class=\"title text-18 font-bold has-text-align-left wp-block-unilux-blocks-heading\"        id=\"organiser\"\n    >\nOrganiser<\/h4>\n<div class=\"wp-block-unilux-blocks-bigtext\">\n    <span>\n        \n    <\/span>\n<\/div><\/header><div class=\"list-highlighted__body wp-block-unilux-blocks-highlighted-list-item-body\">\n    <div class=\"wp-block-unilux-blocks-highlighted-list-item-free-content-area\">\n    \n<p>AdC, DB, AC<\/p>\n<\/div><\/div><\/li><\/ul>\n        <\/div>\n    <\/div>\n<\/div>\n\n<div class=\"accordion__item  wp-block-unilux-blocks-accordion-item\">\n    <h3 class=\"accordion__header\"\n        >\n        <button\n            type=\"button\"\n            id=\"accordion-labelledby-639cb62a-42da-47a5-af30-bbccd1ff17bd\"\n            class=\"accordion__button collapsed\"\n            aria-expanded=\"false\"\n            aria-controls=\"accordion-panel-639cb62a-42da-47a5-af30-bbccd1ff17bd\"\n            data-bs-toggle=\"collapse\"\n            data-bs-target=\"#accordion-panel-639cb62a-42da-47a5-af30-bbccd1ff17bd\"\n        >\n            <span class=\"accordion__title\">\n                                Quantum information science and quantum computation (1 ECTS)            <\/span>\n\n            <svg aria-hidden=\"true\" focusable=\"false\" class=\"icon icon-outline icon--arrow-down \"><use xlink:href=\"https:\/\/www.uni.lu\/wp-content\/themes\/unilux-theme\/assets\/images\/icons\/icons-outline.svg#icon--arrow-down\"><\/use><\/svg>        <\/button>\n    <\/h3>\n    <div id=\"accordion-panel-639cb62a-42da-47a5-af30-bbccd1ff17bd\"\n        class=\"accordion__collapse collapse\"\n        aria-labelledby=\"accordion-labelledby-639cb62a-42da-47a5-af30-bbccd1ff17bd\"\n        data-bs-parent=\"[data-reference=&quot;38a57c75-ba65-41c8-82e3-943432c45bec&quot;]\"\n    >\n        <div class=\"accordion__body \">\n            \n<ul class=\"wp-block-unilux-blocks-highlighted-list list-highlighted list-highlighted--architectural\"><li class=\"list-highlighted__item  wp-block-unilux-blocks-highlighted-list-item\">\n    <header class=\"list-highlighted__header wp-block-unilux-blocks-highlighted-list-item-header\">\n    \n<h4 class=\"title text-18 font-bold has-text-align-left wp-block-unilux-blocks-heading\"        id=\"aim-workload\"\n    >\nAim &amp; workload<\/h4>\n<div class=\"wp-block-unilux-blocks-bigtext\">\n    <span>\n        \n    <\/span>\n<\/div><\/header><div class=\"list-highlighted__body wp-block-unilux-blocks-highlighted-list-item-body\">\n    <div class=\"wp-block-unilux-blocks-highlighted-list-item-free-content-area\">\n    \n<p><strong>Number of ECTS: <\/strong>1<br><strong>In-person course workload (hrs):<\/strong> 15<br><strong>Homework workload (hrs):<\/strong> 10<\/p>\n\n<p>This course will introduce the basics of quantum computation and information and its intersection with cryptography. It includes presenting the positive aspect of quantum computation in cryptographic applications (such as quantum key distribution protocols) and presenting the negative aspect of quantum computation to classical cryptographic constructions due to period finding quantum algorithms (Shor&#8217;s algorithm).<\/p>\n<\/div><\/div><\/li>\n\n<li class=\"list-highlighted__item  wp-block-unilux-blocks-highlighted-list-item\">\n    <header class=\"list-highlighted__header wp-block-unilux-blocks-highlighted-list-item-header\">\n    \n<h4 class=\"title text-18 font-bold has-text-align-left wp-block-unilux-blocks-heading\"        id=\"organiser\"\n    >\nOrganiser<\/h4>\n<div class=\"wp-block-unilux-blocks-bigtext\">\n    <span>\n        \n    <\/span>\n<\/div><\/header><div class=\"list-highlighted__body wp-block-unilux-blocks-highlighted-list-item-body\">\n    <div class=\"wp-block-unilux-blocks-highlighted-list-item-free-content-area\">\n    \n<p>AdC, ME, SnT<\/p>\n<\/div><\/div><\/li><\/ul>\n        <\/div>\n    <\/div>\n<\/div>\n\n<div class=\"accordion__item  wp-block-unilux-blocks-accordion-item\">\n    <h3 class=\"accordion__header\"\n        >\n        <button\n            type=\"button\"\n            id=\"accordion-labelledby-0f770a0d-044d-439f-8383-0d32653fb263\"\n            class=\"accordion__button collapsed\"\n            aria-expanded=\"false\"\n            aria-controls=\"accordion-panel-0f770a0d-044d-439f-8383-0d32653fb263\"\n            data-bs-toggle=\"collapse\"\n            data-bs-target=\"#accordion-panel-0f770a0d-044d-439f-8383-0d32653fb263\"\n        >\n            <span class=\"accordion__title\">\n                                Quantum Thermodynamics (1 ECTS)            <\/span>\n\n            <svg aria-hidden=\"true\" focusable=\"false\" class=\"icon icon-outline icon--arrow-down \"><use xlink:href=\"https:\/\/www.uni.lu\/wp-content\/themes\/unilux-theme\/assets\/images\/icons\/icons-outline.svg#icon--arrow-down\"><\/use><\/svg>        <\/button>\n    <\/h3>\n    <div id=\"accordion-panel-0f770a0d-044d-439f-8383-0d32653fb263\"\n        class=\"accordion__collapse collapse\"\n        aria-labelledby=\"accordion-labelledby-0f770a0d-044d-439f-8383-0d32653fb263\"\n        data-bs-parent=\"[data-reference=&quot;38a57c75-ba65-41c8-82e3-943432c45bec&quot;]\"\n    >\n        <div class=\"accordion__body \">\n            \n<ul class=\"wp-block-unilux-blocks-highlighted-list list-highlighted list-highlighted--architectural\"><li class=\"list-highlighted__item  wp-block-unilux-blocks-highlighted-list-item\">\n    <header class=\"list-highlighted__header wp-block-unilux-blocks-highlighted-list-item-header\">\n    \n<h4 class=\"title text-18 font-bold has-text-align-left wp-block-unilux-blocks-heading\"        id=\"aim-workload\"\n    >\nAim &amp; workload<\/h4>\n<div class=\"wp-block-unilux-blocks-bigtext\">\n    <span>\n        \n    <\/span>\n<\/div><\/header><div class=\"list-highlighted__body wp-block-unilux-blocks-highlighted-list-item-body\">\n    <div class=\"wp-block-unilux-blocks-highlighted-list-item-free-content-area\">\n    \n<p><strong>Number of ECTS: <\/strong>1<br><strong>In-person course workload (hrs):<\/strong> 15<br><strong>Homework workload (hrs):<\/strong> 10<\/p>\n\n<p>Foundations of the statistical approach to quantum mechanics first for closed systems: full counting statistics, laws of thermodynamics, fluctuation theorems, Jarzynski equality for closed quantum systems, and then for open systems using master equations and path integral approaches (Redfield equation, Keldysh contour techniques). Applications to quantum optics.<\/p>\n<\/div><\/div><\/li>\n\n<li class=\"list-highlighted__item  wp-block-unilux-blocks-highlighted-list-item\">\n    <header class=\"list-highlighted__header wp-block-unilux-blocks-highlighted-list-item-header\">\n    \n<h4 class=\"title text-18 font-bold has-text-align-left wp-block-unilux-blocks-heading\"        id=\"organiser\"\n    >\nOrganiser<\/h4>\n<div class=\"wp-block-unilux-blocks-bigtext\">\n    <span>\n        \n    <\/span>\n<\/div><\/header><div class=\"list-highlighted__body wp-block-unilux-blocks-highlighted-list-item-body\">\n    <div class=\"wp-block-unilux-blocks-highlighted-list-item-free-content-area\">\n    \n<p>ME group<\/p>\n<\/div><\/div><\/li><\/ul>\n        <\/div>\n    <\/div>\n<\/div>\n\n<div class=\"accordion__item  wp-block-unilux-blocks-accordion-item\">\n    <h3 class=\"accordion__header\"\n        >\n        <button\n            type=\"button\"\n            id=\"accordion-labelledby-a22fb36f-6396-42f2-b570-382384ca0c40\"\n            class=\"accordion__button collapsed\"\n            aria-expanded=\"false\"\n            aria-controls=\"accordion-panel-a22fb36f-6396-42f2-b570-382384ca0c40\"\n            data-bs-toggle=\"collapse\"\n            data-bs-target=\"#accordion-panel-a22fb36f-6396-42f2-b570-382384ca0c40\"\n        >\n            <span class=\"accordion__title\">\n                                Quantum Field Theory in Condensed Matter Physics (1 ECTS)            <\/span>\n\n            <svg aria-hidden=\"true\" focusable=\"false\" class=\"icon icon-outline icon--arrow-down \"><use xlink:href=\"https:\/\/www.uni.lu\/wp-content\/themes\/unilux-theme\/assets\/images\/icons\/icons-outline.svg#icon--arrow-down\"><\/use><\/svg>        <\/button>\n    <\/h3>\n    <div id=\"accordion-panel-a22fb36f-6396-42f2-b570-382384ca0c40\"\n        class=\"accordion__collapse collapse\"\n        aria-labelledby=\"accordion-labelledby-a22fb36f-6396-42f2-b570-382384ca0c40\"\n        data-bs-parent=\"[data-reference=&quot;38a57c75-ba65-41c8-82e3-943432c45bec&quot;]\"\n    >\n        <div class=\"accordion__body \">\n            \n<ul class=\"wp-block-unilux-blocks-highlighted-list list-highlighted list-highlighted--architectural\"><li class=\"list-highlighted__item  wp-block-unilux-blocks-highlighted-list-item\">\n    <header class=\"list-highlighted__header wp-block-unilux-blocks-highlighted-list-item-header\">\n    \n<h4 class=\"title text-18 font-bold has-text-align-left wp-block-unilux-blocks-heading\"        id=\"aim-workload\"\n    >\nAim &amp; workload<\/h4>\n<div class=\"wp-block-unilux-blocks-bigtext\">\n    <span>\n        \n    <\/span>\n<\/div><\/header><div class=\"list-highlighted__body wp-block-unilux-blocks-highlighted-list-item-body\">\n    <div class=\"wp-block-unilux-blocks-highlighted-list-item-free-content-area\">\n    \n<p><strong>Number of ECTS: <\/strong>1<br><strong>In-person course workload (hrs):<\/strong> 15<br><strong>Homework workload (hrs):<\/strong> 10<\/p>\n\n<p>Path integrals for fermionic and bosonic fields, field theoretical approaches for quantum Hall systems and superconductors (Chern-Simons theory, Ginzburg-Landau theory), topological field theory.<\/p>\n<\/div><\/div><\/li>\n\n<li class=\"list-highlighted__item  wp-block-unilux-blocks-highlighted-list-item\">\n    <header class=\"list-highlighted__header wp-block-unilux-blocks-highlighted-list-item-header\">\n    \n<h4 class=\"title text-18 font-bold has-text-align-left wp-block-unilux-blocks-heading\"        id=\"organiser\"\n    >\nOrganiser<\/h4>\n<div class=\"wp-block-unilux-blocks-bigtext\">\n    <span>\n        \n    <\/span>\n<\/div><\/header><div class=\"list-highlighted__body wp-block-unilux-blocks-highlighted-list-item-body\">\n    <div class=\"wp-block-unilux-blocks-highlighted-list-item-free-content-area\">\n    \n<p>TS<\/p>\n<\/div><\/div><\/li><\/ul>\n        <\/div>\n    <\/div>\n<\/div>\n\n<div class=\"accordion__item  wp-block-unilux-blocks-accordion-item\">\n    <h3 class=\"accordion__header\"\n        >\n        <button\n            type=\"button\"\n            id=\"accordion-labelledby-d18cfab6-68b2-42db-8ec8-6b06119792ee\"\n            class=\"accordion__button collapsed\"\n            aria-expanded=\"false\"\n            aria-controls=\"accordion-panel-d18cfab6-68b2-42db-8ec8-6b06119792ee\"\n            data-bs-toggle=\"collapse\"\n            data-bs-target=\"#accordion-panel-d18cfab6-68b2-42db-8ec8-6b06119792ee\"\n        >\n            <span class=\"accordion__title\">\n                                Ultrafast Science (1 ECTS)            <\/span>\n\n            <svg aria-hidden=\"true\" focusable=\"false\" class=\"icon icon-outline icon--arrow-down \"><use xlink:href=\"https:\/\/www.uni.lu\/wp-content\/themes\/unilux-theme\/assets\/images\/icons\/icons-outline.svg#icon--arrow-down\"><\/use><\/svg>        <\/button>\n    <\/h3>\n    <div id=\"accordion-panel-d18cfab6-68b2-42db-8ec8-6b06119792ee\"\n        class=\"accordion__collapse collapse\"\n        aria-labelledby=\"accordion-labelledby-d18cfab6-68b2-42db-8ec8-6b06119792ee\"\n        data-bs-parent=\"[data-reference=&quot;38a57c75-ba65-41c8-82e3-943432c45bec&quot;]\"\n    >\n        <div class=\"accordion__body \">\n            \n<ul class=\"wp-block-unilux-blocks-highlighted-list list-highlighted list-highlighted--architectural\"><li class=\"list-highlighted__item  wp-block-unilux-blocks-highlighted-list-item\">\n    <header class=\"list-highlighted__header wp-block-unilux-blocks-highlighted-list-item-header\">\n    \n<h4 class=\"title text-18 font-bold has-text-align-left wp-block-unilux-blocks-heading\"        id=\"aim-workload\"\n    >\nAim &amp; workload<\/h4>\n<div class=\"wp-block-unilux-blocks-bigtext\">\n    <span>\n        \n    <\/span>\n<\/div><\/header><div class=\"list-highlighted__body wp-block-unilux-blocks-highlighted-list-item-body\">\n    <div class=\"wp-block-unilux-blocks-highlighted-list-item-free-content-area\">\n    \n<p><strong>Number of ECTS: <\/strong>1<br><strong>In-person course workload (hrs):<\/strong> 15<br><strong>Homework workload (hrs):<\/strong> 10<\/p>\n\n<p>The content of the course includes the description of the fundamental concepts necessaries to observe phenomena at the femtosecond scale and beyond. 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<\/div>\n<\/div><\/div>\n<\/div><\/section>\n<\/div>","protected":false},"excerpt":{"rendered":"","protected":false},"author":44,"featured_media":7571,"parent":7523,"menu_order":0,"template":"","meta":{"featured_image_focal_point":[],"show_featured_caption":false,"ulux_newsletter_groups":"","uluxPostTitle":"QUANCOM","uluxPrePostTitle":"Doctoral Training 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