Nonstationary excitations in Bose-Einstein condensates under the action of periodically varying scattering length with time dependent frequencies
arXiv:nlin/0701011 · doi:10.1016/j.physd.2007.01.001
Abstract
We investigate nonstationary excitations in 3D-Bose-Einstein condensates in a spherically symmetric trap potential under the modulation of scattering length with slowly varying frequencies (adiabatic modulation). By numerically solving the Gross-Pitaevskii equation we observe a step-wise increase in the amplitude of oscillation due to successive phase locking between driving frequency and nonlinear frequency. Such a nonstationary excitation has been shown to exist by an analytic approach using variational procedure and perturbation theory in the action-angle variables. By using a canonical perturbation theory, we have identified the successive resonance excitations whenever the driven frequency matches the nonlinear frequency or its subharmonics.
arXiv comment17 pages, 6 figures (to be published in Physica D)
References in corpus (9)
- Theory of Bose-Einstein condensation in trapped gases
- Dynamically Stabilized Bright Solitons in a Two-Dimensional Bose-Einstein Condensate
- Controlling collapse in Bose-Einstein condensates by temporal modulation of the scattering length
- Faraday patterns in Bose-Einstein condensates
- Bose-Einstein condensation dynamics in three dimensions by the pseudospectral and finite-difference methods
- Stabilization of bright solitons and vortex solitons in a trapless three-dimensional Bose-Einstein condensate by temporal modulation of the scattering length
- On collapse in the nonlinear Schrodinger equation with time dependent nonlinearity. Application to Bose-Einstein condensates
- Stabilization of a light bullet in a layered Kerr medium with sign-changing nonlinearity
- Dynamics of a trapped 2D Bose-Einstein condensate with periodically and randomly varying atomic scattering length