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Exact Spectral Statistics in Strongly Localised Circuits
Bruno Bertini, Pavel Kos, Tomaz Prosen
Since the seminal work of Anderson, localisation has been recognised as a standard mechanism allowing quantum many-body systems to escape ergodicity. This idea acquired even more p…
Quantum chaos in triangular billiards
Črt Lozej, Giulio Casati, Tomaž Prosen
We present an extensive numerical study of spectral statistics and eigenfunctions of quantized triangular billiards. We compute two million consecutive eigenvalues for six represen…
Statistics of the Spectral Form Factor in the Self-Dual Kicked Ising Model
Ana Flack, Bruno Bertini, Tomaz Prosen
We compute the full probability distribution of the spectral form factor in the self-dual kicked Ising model by providing an exact lower bound for each moment and verifying numeric…
Exact Spectral Form Factor in a Minimal Model of Many-Body Quantum Chaos
Bruno Bertini, Pavel Kos, Tomaz Prosen
The most general and versatile defining feature of quantum chaotic systems is that they possess an energy spectrum with correlations universally described by random matrix theory (…
Few Islands Approximation of Hamiltonian System with divided Phase Space
Leonid A. Bunimovich, Giulio Casati, Tomaz Prosen +1
It is well known that typical Hamiltonian systems have divided phase space consisting of regions with regular dynamics on KAM tori and region(s) with chaotic dynamics called chaoti…
Many-body quantum chaos: Analytic connection to random matrix theory
Pavel Kos, Marko Ljubotina, Tomaz Prosen
A key goal of quantum chaos is to establish a relationship between widely observed universal spectral fluctuations of clean quantum systems and random matrix theory (RMT). For sing…