The spatiotemporal evolution of wave packets under chaotic condition

Citation
F. Liu et al., The spatiotemporal evolution of wave packets under chaotic condition, COMM TH PHY, 35(5), 2001, pp. 531-538
Citations number
13
Language
INGLESE
art.tipo
Article
Categorie Soggetti
Physics
Journal title
COMMUNICATIONS IN THEORETICAL PHYSICS
ISSN journal
0253-6102 → ACNP
Volume
35
Issue
5
Year of publication
2001
Pages
531 - 538
Database
ISI
SICI code
0253-6102(20010515)35:5<531:TSEOWP>2.0.ZU;2-I
Abstract
Using the minimum uncertainty state of quantum integrable system Ho as init ial state, the spatiotemporal evolution of the wave packet under the action of perturbed Hamiltonian is studied causally as in classical mechanics. Du e to the existence of the avoided energy level crossing in the spectrum the re exist nonlinear resonances between some pairs of neighboring components of the wave packet, the deterministic dynamical evolution becomes very comp licated and appears to be chaotic. It is proposed to use expectation values for the whole set of basic dynamical variables and the corresponding sprea ding widths to describe the topological features concisely such that the qu antum chaotic motion can be studied in contrast with the quantum regular mo tion and well characterized with the asymptotic behaviors. It has been demo nstrated with numerical results that such a wave packet has indeed quantum behaviors of ergodicity as in corresponding classical case.