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There is significant interest in the Philosophy of Science community to understand the role that "effective theories" have in the work of forefront science. The ideas of effective theories have been implicit in science for a long time, but have only been articulated well in the last few decades. Since Wilson's renormalization group revolution in the early 1970's, the science community has come to more fully understand its power, and by the mid-1990's it had gained its apotheosis. It is still one of the most powerful concepts in science, which has direct impact in how one thinks about and formulates theories of nature. It is this power that this Brief sets out to emphasize through historical analysis and current examples.
Biomedical engineering -- Philosophy. --- Physics -- Philosophy. --- Physics. --- Engineering & Applied Sciences --- Applied Physics --- Science --- Philosophy. --- Normal science --- Philosophy of science --- Philosophy and science. --- Theoretical, Mathematical and Computational Physics. --- History and Philosophical Foundations of Physics. --- Philosophy of Science. --- Mathematical physics. --- Science and philosophy --- Natural philosophy --- Philosophy, Natural --- Physical sciences --- Dynamics --- Physical mathematics --- Physics --- Mathematics --- Effectiv field theory --- Effective action --- Effective theories --- Naturalness and fine-tuning in theoretical physics --- Phenomenology --- Renormalization group --- Symmetries in Physics
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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
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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.
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
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
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