Many Body Quantum Chaos

• Format: eBook
• Language: English
• Published: Basel, Switzerland MDPI - Multidisciplinary Digital Publishing Institute 2020
• Subjects: adiabatic separation; Anderson localisation; Arnol’d cat; atom-optics kicked rotor; Aubry-André model; Bose-Einstein condensate; Bose–Einstein condensates; classical limit; cold atoms; continuous-time quantum walks; correlation functions; correlation hole; correspondence principle; dark matter; decoherence; Dirac bosons; dissipation; dynamical chaos; dynamical localisation; effective action; fluctuation theorems; fractal Weyl law; Frenkel–Kontorova; Gross-Pitaevskii equation; interacting fermions; long–range interactions; Lorentzian potential; mean field analysis; Morse oscillator; nonequilibrium statistical mechanics; nonlinear Schrödinger equation; periodically kicked system; phase transitions; quantum chaos; quantum interference; quantum kicked rotor; quantum resonance; quantum thermodynamics; quantum transport; quantum tunneling; Reference, Information and Interdisciplinary subjects; Research and information: general; revival dynamics; Schrödinger-Poisson equation; sector condition; semiclassical approximation; Sinai oscillator; sine-Gordon kink; survival probability; thermalization; topological horseshoe; trapped ions; uniformly hyperbolicity
• ISBN: 303936832X; 9783039368334; 3039368338; 9783039368327
• DOI: 10.3390/books978-3-03936-833-4

The field of chaos in many-body quantum systems has a long history, going back to Wigner’s simple models for heavy nuclei. Quantum chaos is being investigated in a broad variety of experimental platforms such as heavy nuclei, driven (few-electron) atoms, ultracold quantum gases, and photonic or microwave realizations. Quantum chaos plays a new and important role in many branches of physics, from condensed matter problems of many-body localization, including thermalization studies in closed and open quantum systems, and the question of dynamical stability relevant for quantum information and quantum simulation. This Special Issue and its related book address theories and experiments, methods from classical chaos, semiclassics, and random matrix theory, as well as many-body condensed matter physics. It is dedicated to Prof. Shmuel Fishman, who was one of the major representatives of the field over almost four decades, who passed away in 2019.