Exactly Solved Models of Chaotic Many-Body Dynamics
Abstract: One should be amazed with an unreasonable effectiveness of random matrix theory to describe spectral fluctuations in simple non-integrable many-body systems, say one dimensional spin 1/2 chains with local interactions. I will discuss a class of Floquet (periodically driven) quantum spin chains – specifically, dual unitary Floquet circuits – where the random matrix result for the spectral form factor can be derived or even rigorously proven. Several other nontrivial exactly solvable features of the presented models, such as dynamical correlations or entanglement dynamics, will be discussed.
Bibliometrics of Prosen, as of August 2020: 215 refereed original scientific publications (refereed conference proceedings/book chapters not included), most with 1-3 authors, all with 6 or less authors. Web of Science: 7141 citations in total (6160 without self citations), Hirsch index h = 46 Google scholar: 10479 citations, Hirsch index h = 54 Journals most frequently published in: Physical Review Letters: 46 articles (5 PRLs as a single author), Journal of Physics A: Math. Theor. (Math. Gen., until 2006): 45 articles, Physical Review E: 29 articles.