1997/06/30 by Giulio Casati, Giulio Maspero, Dima L. Shepelyansky · 4 citations
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Quantum chaos and dynamical systems #Spectroscopy and Quantum Chemical Studies #chao-dyn #cond-mat #nlin.CD
paper · pdf · doi:10.1103/physreve.56.r6233
revtex, 5 pages, 4 figures discussion of the relations between time scale t_q and weak localization correction and between dynamical and disordered systems is added
arxiv created 1997/10/13 · openalex publication_date 1997/12/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We show that the quantum relaxation process in a classically chaotic open dynamical system is characterized by a quantum relaxation time scale tq. This scale is much shorter than the Heisenberg time and much larger than the Ehrenfest time: tq\ensuremath∝g^\ensuremathα where g is the conductance of the system and the exponent \ensuremathα is close to (1)/(2). As a result, quantum and classical decay probabilities remain close up to values P\ensuremath∼exp(\ensuremath-√(g)) similarly to the case of open disordered systems.