Nonstationary excitations in Bose-Einstein condensates under the action of periodically varying scattering length with time dependent frequencies
Loading...
Date
Journal Title
Journal ISSN
Volume Title
Publisher
Abstract
Description
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.
17 pages, 6 figures (to be published in Physica D)
17 pages, 6 figures (to be published in Physica D)