2000/12/31 by Zbyszek P. Karkuszewski, Jakub Zakrzewski, Wojciech H. Zurek · 1 citation
Mathematics · Physics and Astronomy · #Artificial intelligence #Chaotic #Chaotic systems #Cold Atom Physics and Bose-Einstein Condensates #Computer science #Hamiltonian (control theory) #Hamiltonian system #Mathematical physics #Mathematics #Physics #Quantum #Quantum chaos and dynamical systems #Quantum many-body systems #Quantum mechanics #Quantum system #Statistical physics #nlin.CD #quant-ph
paper · pdf · doi:10.1103/physreva.65.042113
published as Phys. Rev. A 65, 042113 (2002) · 4 pages, 5 figures, replaced with a version submitted to PRL
arxiv created 2001/06/08 · openalex publication_date 2002/04/10 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
Breakdown of quantum-classical correspondence is studied on an experimentally realizable example of a one-dimensional periodically driven system. Two relevant time scales are identified in this system: the short Ehrenfest time t_\ensuremath\Elzxh\ensuremath∼ln(\ensuremath\Elzxh^\ensuremath-1) and the typically much longer localization time scale TL\ensuremath∼\ensuremath\Elzxh^\ensuremath-2. It is shown that surprisingly weak modification of the Hamiltonian may eliminate the more dramatic symptoms of localization without effecting the more subtle but ubiquitous and rapid loss of correspondence at t_\ensuremath\Elzxh.