Faraday instability in a two-component Bose Einstein condensate

Abstract

Motivated by recent experiments on Faraday waves in Bose Einstein condensates (BEC) we investigate the dynamics of two component cigar shaped BEC subject to periodic modulation of the strength of the transverse confinement. It is shown that two coupled Mathieu equations govern the dynamics of the system. We found that the two component BEC in a phase mixed state is relatively more unstable towards pattern formation than the phase segregated state.

6 pages, 4 figures

References in corpus (1)

• Faraday waves in Bose-Einstein condensates

Cited by in corpus (8)

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• Stable-fixed-point description of square-pattern formation in driven two-dimensional Bose-Einstein condensates
• Patterns, spin-spin correlations and competing instabilities in driven quasi-two-dimensional spin-1 Bose-Einstein condensates
• Role of Dissipation on the Stability of a Parametrically Driven Quantum Harmonic Oscillator
• Damping in two component Bose gas