Publication: Dynamical instability in kicked Bose-Einstein condensates
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2004-04
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American Physical Society
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Abstract
Bose-Einstein condensates subject to short pulses (kicks) from standing waves of light represent a nonlinear analog of the well-known chaos paradigm, the quantum kicked rotor. Previous studies of the onset of dynamical instability (i.e., exponential proliferation of noncondensate particles) suggested that the transition to instability might be associated with a transition to chaos. Here we conclude instead that instability is due to resonant driving of Bogoliubov modes. We investigate the Bogoliubov spectrum for both the quantum kicked rotor (QKR) and a variant, the double kicked rotor (QKR-2). We present an analytical model, valid in the limit of weak impulses which correctly gives the scaling properties of the resonances and yields good agreement with mean-field numerics.
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©2008 The American Physical Society.
J.R. acknowledges funding from EPSRC-DHPA. The authors would like to thank Simon Gardiner, Mark Raizen, and Chuanwei Zhang for valuable advice. This research was supported by the EPSRC.
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[24] While we cannot draw any conclusions on the kicked harmonic oscillator, as we do not study it, we note that, e.g., Figs. 18 and 19 in the study in Ref. [3] show deep slow oscillations suggestive of an approach to a Bogoliubov resonance (not necessarily leading to exponential behavior in those examples).