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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.; Burnett, K.; d'Arcy, M.B.; Gardiner, S.A.

Authors

R. Bach

K. Burnett

M.B. d'Arcy



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.

Citation

Bach, R., Burnett, K., d'Arcy, M., & Gardiner, S. (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, https://doi.org/10.1103/physreva.71.033417

Journal Article Type Article
Publication Date 2005-03
Deposit Date Apr 28, 2008
Publicly Available Date Apr 28, 2008
Journal Physical Review A
Print ISSN 1050-2947
Electronic ISSN 1094-1622
Publisher American Physical Society
Peer Reviewed Peer Reviewed
Volume 71
DOI https://doi.org/10.1103/physreva.71.033417
Keywords Delta-kicked rotor, Atom-optics billiards, Wave-packet dynamics, Momentum distributions, Semiclassical dynamics, Standing-wWave, Chaos, Localization, System, Decoherence.

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