Resonances and Chaos in the Collective Oscillations of a Trapped Bose Condensate

Abstract

We investigate the collective oscillations of a Bose condensate in an anisotropic harmonic trap. We analytically calculate the values of the trap deformation for which the normal modes are in resonance. In presence of low-order resonances, the amplitude dependence of frequencies is strongly enhanced. We also study the transition to chaos of the collective modes as a function of the trap anisotropy.

8 pages, 3 eps figures

References in corpus (3)

• Self-Trapping, Quantum Tunneling and Decay Rates for a Bose Gas with Attractive Nonlocal Interaction
• Resonances and Chaos in the Collective Oscillations of a Trapped Bose Condensate
• Different Facets of Chaos in Quantum Mechanics

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• Bogoliubov excitation spectrum of an elongated condensate from quasi-one-dimensional to three-dimensional transition
• D-dimensional Ideal Quantum Gases in $A{r}^n+B{r}^{-n}$ Potential
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