Quantum Bound to Chaos and the Semiclassical Limit
| Autor: | Jorge Kurchan |
|---|---|
| Přispěvatelé: | Laboratoire de Physique Statistique de l'ENS (LPS), Fédération de recherche du Département de physique de l'Ecole Normale Supérieure - ENS Paris (FRDPENS), École normale supérieure - Paris (ENS Paris), Université Paris sciences et lettres (PSL)-Université Paris sciences et lettres (PSL)-Centre National de la Recherche Scientifique (CNRS)-École normale supérieure - Paris (ENS Paris), Université Paris sciences et lettres (PSL)-Université Paris sciences et lettres (PSL)-Centre National de la Recherche Scientifique (CNRS)-Université Paris Diderot - Paris 7 (UPD7)-Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS) |
| Rok vydání: | 2018 |
| Předmět: |
High Energy Physics - Theory
Surface (mathematics) FOS: Physical sciences Semiclassical physics Context (language use) Lyapunov exponent Curvature 01 natural sciences symbols.namesake Quantum mechanics 0103 physical sciences Limit (mathematics) [PHYS.COND.CM-SM]Physics [physics]/Condensed Matter [cond-mat]/Statistical Mechanics [cond-mat.stat-mech] 010306 general physics Quantum Condensed Matter - Statistical Mechanics Mathematical Physics Physics Statistical Mechanics (cond-mat.stat-mech) 010308 nuclear & particles physics Statistical and Nonlinear Physics Nonlinear Sciences::Chaotic Dynamics Classical mechanics High Energy Physics - Theory (hep-th) symbols Chaos Matter wave Quantum bounds |
| Zdroj: | Journal of Statistical Physics Journal of Statistical Physics, Springer Verlag, 2018, 171 (6), pp.965-979. ⟨10.1007/s10955-018-2052-7⟩ |
| ISSN: | 1572-9613 0022-4715 |
| DOI: | 10.1007/s10955-018-2052-7 |
| Popis: | We discuss the quantum bound on chaos in the context of the free propagation of a particle in an arbitrarily curved surface at low temperatures. The semiclassical calculation of the Lyapunov exponent can be performed in much the same way as the corresponding one for the `Loschmidt echo'.The bound appears here as the impossibility to scatter a wave, by effect of the curvature, over characteristic lengths smaller than the deBroglie wavelength. References added, some typos corrected |
| Databáze: | OpenAIRE |
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