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Quantum-mechanical cumulant dynamics near stable periodic orbits in phase space : application to the classical-like dynamics of quantum accelerator modes.

Bach, R. and Burnett, K. and d'Arcy, M. B. and Gardiner, S. A. (2005) 'Quantum-mechanical cumulant dynamics near stable periodic orbits in phase space : application to the classical-like dynamics of quantum accelerator modes.', Physical review A., 71 . 033417.

Abstract

We formulate a general method for the study of semiclassical-like dynamics in stable regions of a mixed phase space, in order to theoretically study the dynamics of quantum accelerator modes. In the simplest case, this involves determining solutions, which are stable when constrained to remain pure-state Gaussian wave packets, and then propagating them using a cumulant-based formalism. Using this methodology, we study the relative longevity, under different parameter regimes, of quantum accelerator modes. Within this attractively simple formalism, we are able to obtain good qualitative agreement with exact wave-function dynamics.

Item Type:Article
Keywords:Delta-kicked rotor, Atom-optics billiards, Wave-packet dynamics, Momentum distributions, Semiclassical dynamics, Standing-wWave, Chaos, Localization, System, Decoherence.
Full text:PDF - Other (135Kb)
Status:Peer-reviewed
Publisher Web site:http://dx.doi.org/10.1103/PhysRevA.71.033417
Publisher statement:© 2005 by The American Physical Society. All rights reserved.
Record Created:28 Apr 2008
Last Modified:05 Aug 2011 14:26

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