Nonlinear coupling between scissors modes of a Bose-Einstein condensate

Abstract

We explore the nonlinear coupling of the three scissors modes of an anisotropic Bose-Einstein condensate. We show that only when the frequency of one of the scissors modes is twice the frequency of another scissors mode, these two modes can be resonantly coupled and a down conversion can occur. We perform the calculation variationally using a gaussian trial wave function. This enables us to obtain simple analytical results that describe the oscillation and resonance behaviour of the two coupled modes.

12 pages, 3 figures, submitted to Phys. Rev. A

References in corpus (1)

• Finite-temperature simulations of the scissors mode in Bose-Einstein condensed gases

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• Excitations of a Bose-Einstein condensate in a one-dimensional optical lattice
• Damping in two component Bose gas
• Nonlinear Mixing of Collective Modes in Harmonically Trapped Bose-Einstein Condensates