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Philosophy of science --- Theory of knowledge --- Bohr, Niels --- Correspondence principle (Quantum mechanics) --- Science --- Philosophy --- -Natural science --- Science of science --- Sciences --- Quantum theory --- Philosophy. --- -Philosophy --- Correspondence principle (Quantum mechanics). --- Normal science --- Science - Philosophy

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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.

Research & information: general --- 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 --- 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

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

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.

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