Quantum kicked rotor and its variants: Chaos, localization and beyond

MS Santhanam, S Paul, JB Kannan - Physics Reports, 2022‏ - Elsevier
Kicked rotor is a paradigmatic model for classical and quantum chaos in time-dependent
Hamiltonian systems. More than fifty years since the introduction of this model, there is an …

Quantum graphs: Applications to quantum chaos and universal spectral statistics

S Gnutzmann∥, U Smilansky - Advances in Physics, 2006‏ - Taylor & Francis
During the last few years quantum graphs have become a paradigm of quantum chaos with
applications from spectral statistics to chaotic scattering and wavefunction statistics. In the …

Exact spectral form factor in a minimal model of many-body quantum chaos

B Bertini, P Kos, T Prosen - Physical review letters, 2018‏ - APS
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 …

[كتاب][B] Quantum signatures of chaos

F Haake - 1991‏ - Springer
The distinction between level clustering and level repulsion is one of the quantum
analogues of the classical distinction between globally regular and predominantly chaotic …

Quantum chaos

HJ Stöckmann - Quantum Chaos, 2007‏ - ui.adsabs.harvard.edu
Quantum Chaos - NASA/ADS Now on home page ads icon ads Enable full ADS view NASA/ADS
Quantum Chaos Stöckmann, Hans-Jürgen Abstract Preface; 1. Introduction; 2. Billiard …

Measuring the Spectral Form Factor in Many-Body Chaotic and Localized Phases of Quantum Processors

H Dong, P Zhang, CB Dağ, Y Gao, N Wang, J Deng… - Physical Review Letters, 2025‏ - APS
The spectral form factor (SFF) captures universal spectral fluctuations as signatures of
quantum chaos, and has been instrumental in advancing multiple frontiers of physics …

AdS3/RMT2 duality

G Di Ubaldo, E Perlmutter - Journal of High Energy Physics, 2023‏ - Springer
A bstract We introduce a framework for quantifying random matrix behavior of 2d CFTs and
AdS 3 quantum gravity. We present a 2d CFT trace formula, precisely analogous to the …

Many-body quantum chaos: Analytic connection to random matrix theory

P Kos, M Ljubotina, T Prosen - Physical Review X, 2018‏ - APS
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) …

Universal signature from integrability to chaos in dissipative open quantum systems

G Akemann, M Kieburg, A Mielke, T Prosen - Physical review letters, 2019‏ - APS
We study the transition between integrable and chaotic behavior in dissipative open
quantum systems, exemplified by a boundary driven quantum spin chain. The repulsion …

Late time physics of holographic quantum chaos

A Altland, J Sonner - SciPost Physics, 2021‏ - scipost.org
Quantum chaotic systems are often defined via the assertion that their spectral statistics
coincides with, or is well approximated by, random matrix theory. In this paper we explain …