Many Body Quantum Chaos

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 micr...

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Gepubliceerd in: MDPI - Multidisciplinary Digital Publishing Institute 2021
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collection Directory of Open Access Books
description 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.
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institution Directory of Open Access Books
language eng
publishDate 2021
publishDateRange 2021
publishDateSort 2021
publisher MDPI - Multidisciplinary Digital Publishing Institute
publisherStr MDPI - Multidisciplinary Digital Publishing Institute
record_format ojs
spelling doab-20.500.12854ir-691562024-03-27T16:34:28Z Many Body Quantum Chaos Wimberger, Sandro quantum chaos decoherence Arnol’d cat classical limit correspondence principle cold atoms interacting fermions thermalization dynamical chaos Sinai oscillator quantum tunneling dissipation effective action quantum transport nonlinear Schrödinger equation Gross-Pitaevskii equation Schrödinger-Poisson equation Bose-Einstein condensate dark matter periodically kicked system Lorentzian potential topological horseshoe uniformly hyperbolicity sector condition fractal Weyl law survival probability correlation functions semiclassical approximation revival dynamics Morse oscillator atom-optics kicked rotor quantum resonance continuous-time quantum walks Bose–Einstein condensates quantum interference Aubry-André model correlation hole fluctuation theorems nonequilibrium statistical mechanics quantum thermodynamics phase transitions Dirac bosons mean field analysis adiabatic separation trapped ions Frenkel–Kontorova long–range interactions sine-Gordon kink quantum kicked rotor Anderson localisation dynamical localisation thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general 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. 2021-05-01T15:42:36Z 2021-05-01T15:42:36Z 2020 book ONIX_20210501_9783039368327_902 9783039368327 9783039368334 https://directory.doabooks.org/handle/20.500.12854/69156 eng application/octet-stream Attribution 4.0 International https://mdpi.com/books/pdfview/book/2928 https://mdpi.com/books/pdfview/book/2928 MDPI - Multidisciplinary Digital Publishing Institute 10.3390/books978-3-03936-833-4 10.3390/books978-3-03936-833-4 46cabcaa-dd94-4bfe-87b4-55023c1b36d0 9783039368327 9783039368334 222 Basel, Switzerland open access
spellingShingle quantum chaos
decoherence
Arnol’d cat
classical limit
correspondence principle
cold atoms
interacting fermions
thermalization
dynamical chaos
Sinai oscillator
quantum tunneling
dissipation
effective action
quantum transport
nonlinear Schrödinger equation
Gross-Pitaevskii equation
Schrödinger-Poisson equation
Bose-Einstein condensate
dark matter
periodically kicked system
Lorentzian potential
topological horseshoe
uniformly hyperbolicity
sector condition
fractal Weyl law
survival probability
correlation functions
semiclassical approximation
revival dynamics
Morse oscillator
atom-optics kicked rotor
quantum resonance
continuous-time quantum walks
Bose–Einstein condensates
quantum interference
Aubry-André model
correlation hole
fluctuation theorems
nonequilibrium statistical mechanics
quantum thermodynamics
phase transitions
Dirac bosons
mean field analysis
adiabatic separation
trapped ions
Frenkel–Kontorova
long–range interactions
sine-Gordon kink
quantum kicked rotor
Anderson localisation
dynamical localisation
thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general
Many Body Quantum Chaos
title Many Body Quantum Chaos
title_full Many Body Quantum Chaos
title_fullStr Many Body Quantum Chaos
title_full_unstemmed Many Body Quantum Chaos
title_short Many Body Quantum Chaos
title_sort many body quantum chaos
topic quantum chaos
decoherence
Arnol’d cat
classical limit
correspondence principle
cold atoms
interacting fermions
thermalization
dynamical chaos
Sinai oscillator
quantum tunneling
dissipation
effective action
quantum transport
nonlinear Schrödinger equation
Gross-Pitaevskii equation
Schrödinger-Poisson equation
Bose-Einstein condensate
dark matter
periodically kicked system
Lorentzian potential
topological horseshoe
uniformly hyperbolicity
sector condition
fractal Weyl law
survival probability
correlation functions
semiclassical approximation
revival dynamics
Morse oscillator
atom-optics kicked rotor
quantum resonance
continuous-time quantum walks
Bose–Einstein condensates
quantum interference
Aubry-André model
correlation hole
fluctuation theorems
nonequilibrium statistical mechanics
quantum thermodynamics
phase transitions
Dirac bosons
mean field analysis
adiabatic separation
trapped ions
Frenkel–Kontorova
long–range interactions
sine-Gordon kink
quantum kicked rotor
Anderson localisation
dynamical localisation
thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general
topic_facet quantum chaos
decoherence
Arnol’d cat
classical limit
correspondence principle
cold atoms
interacting fermions
thermalization
dynamical chaos
Sinai oscillator
quantum tunneling
dissipation
effective action
quantum transport
nonlinear Schrödinger equation
Gross-Pitaevskii equation
Schrödinger-Poisson equation
Bose-Einstein condensate
dark matter
periodically kicked system
Lorentzian potential
topological horseshoe
uniformly hyperbolicity
sector condition
fractal Weyl law
survival probability
correlation functions
semiclassical approximation
revival dynamics
Morse oscillator
atom-optics kicked rotor
quantum resonance
continuous-time quantum walks
Bose–Einstein condensates
quantum interference
Aubry-André model
correlation hole
fluctuation theorems
nonequilibrium statistical mechanics
quantum thermodynamics
phase transitions
Dirac bosons
mean field analysis
adiabatic separation
trapped ions
Frenkel–Kontorova
long–range interactions
sine-Gordon kink
quantum kicked rotor
Anderson localisation
dynamical localisation
thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general
url ONIX_20210501_9783039368327_902