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Phys. Rev. A 71, 033417 (2005) [20 pages]

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

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R. Bach
Center for Theoretical Physics, Polish Academy of Sciences, 02-668 Warsaw, Poland

K. Burnett
Clarendon Laboratory, Department of Physics, University of Oxford, Oxford OX1 3PU, United Kingdom

M. B. d’Arcy
Atomic Physics Division, National Institute of Standards and Technology, Gaithersburg, Maryland 20899-8423, USA

S. A. Gardiner
JILA, University of Colorado and National Institute of Standards and Technology, Boulder, Colorado 80309-0440, USA

 See Also: Publisher's Note

Received 20 October 2003; revised 14 December 2004; published 29 March 2005; publisher error corrected 13 April 2005

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.


©2005 The American Physical Society

URL: http://link.aps.org/doi/10.1103/PhysRevA.71.033417
DOI: 10.1103/PhysRevA.71.033417
PACS: 32.80.Lg, 05.45.Mt, 03.75.Be

See Also

Publisher's Note: R. Bach, K. Burnett, M. B. d'Arcy, and S. A. Gardiner, Publisher's Note: Quantum-mechanical cumulant dynamics near stable periodic orbits in phase space: Application to the classical-like dynamics of quantum accelerator modes [Phys. Rev. A 71, 033417 (2005)], Phys. Rev. A 71, 049902 (2005)

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