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arXiv:cond-mat/0405057 · Journal of Physics A Mathematical and General

Bose–Einstein condensate of kicked rotators

B. Mieck, R. Graham

Published Oct 21, 2004• 17 citations
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Abstract

A concrete proposal for the realization of a Bose–Einstein condensate of kicked rotators is presented. Studying their dynamics via the one-dimensional Gross–Pitaevskii equation on a ring we point out the existence of a Lax pair and an infinite countable set of conserved quantities. Under equal conditions we make numerical comparisons of the dynamics and their effective irreversibility in time, of ensembles of chaotic classical, and BECs of interaction-free quantum, and interacting quantum kicked rotators.

DOI
10.1088/0305-4470/37/44/l06

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A concrete proposal for the realization of a Bose–Einstein condensate of kicked rotators is presented. Studying their dynamics via the one-dimensional Gross–Pitaevskii equation on a ring we point out the existence of a Lax pair and an infinite countable set of conserved quantities. Under equal conditions we make numerical comparisons of the dynamics and their effective irreversibility in time, of ensembles of chaotic classical, and BECs of interaction-free quantum, and interacting quantum kicked rotators.
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