Faraday Patterns in low-dimensional Bose-Einstein Condensates
arXiv:cond-mat/0309578 · doi:10.1103/PhysRevA.70.011601
Abstract
We show that Faraday patterns can be excited in the weak confinement space of low-dimensional Bose-Einstein condensates by temporal modulation of the trap width, or equivalently of the trap frequency Omega_tight, in the tight confinement space. For slow modulation, as compared with Omega_tight, the low-dimensional dynamics of the condensate in the weak confinement space is described by a Gross-Pitaevskii equation with time modulated nonlinearity coefficient. For increasing modulation frequencies a noticeable reduction of the pattern formation threshold is observed close to 2*Omega_tight, which is related to the parametric excitation of the internal breathing mode in the tight confinement space. These predictions could be relevant for the experimental excitation of Faraday patterns in Bose-Einstein condensates.
Submitted to PRA
References in corpus (14)
- Theory of Bose-Einstein condensation in trapped gases
- Bose--Einstein solitons in highly asymmetric traps
- Dynamically Stabilized Bright Solitons in a Two-Dimensional Bose-Einstein Condensate
- Controlling collapse in Bose-Einstein condensates by temporal modulation of the scattering length
- Vortex lattice formation in a rotating Bose-Einstein condensate
- Observation of Phase Fluctuations in Bose-Einstein Condensates
- Phenomenological damping in trapped atomic Bose-Einstein condensates
- Faraday patterns in Bose-Einstein condensates
- Nonlinear dynamics for vortex lattice formation in a rotating Bose-Einstein condensate
- Adiabatic dynamics of periodic waves in Bose-Einstein condensate with time dependent atomic scattering length
- Averaging For Solitons With Nonlinearity Management
- Splitting of a doubly quantized vortex through intertwining in Bose-Einstein condensates
- Barrier resonances in Bose-Einstein condensation
- Dissipative Dynamics of an Open Bose Einstein Condensate
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