TRANSITION TO DETERMINISTIC CHAOS IN A PERIODICALLY DRIVEN QUANTUM SYSTEM AND BREAKING OF THE TIME-REVERSAL SYMMETRY

Citation
U. Schwengelbeck et Fhm. Faisal, TRANSITION TO DETERMINISTIC CHAOS IN A PERIODICALLY DRIVEN QUANTUM SYSTEM AND BREAKING OF THE TIME-REVERSAL SYMMETRY, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 55(5), 1997, pp. 6260-6263
Citations number
12
Categorie Soggetti
Physycs, Mathematical","Phsycs, Fluid & Plasmas
ISSN journal
1063651X
Volume
55
Issue
5
Year of publication
1997
Part
B
Pages
6260 - 6263
Database
ISI
SICI code
1063-651X(1997)55:5<6260:TTDCIA>2.0.ZU;2-U
Abstract
The phenomenon of transition from regular to chaotic dynamics in a per iodically driven quantum system is demonstrated. The associated quantu m Lyapunov numbers are determined analytically. A numerical experiment is made to test the nature of time evolution predicted by the theory. In contrast to the evolution in the regular domain, the passage to de terministic quantum chaos is found to break the time-reversal symmetry of the quantum dynamics, whenever the latter cannot be followed with infinite precision.