Rajendran, S. ; Muruganandam, P. ; Lakshmanan, M. (2007) Nonstationary excitations in Bose-Einstein condensates under the action of periodically varying scattering length with time dependent frequencies Physica D: Nonlinear Phenomena, 227 (1). pp. 1-7. ISSN 0167-2789
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Official URL: http://linkinghub.elsevier.com/retrieve/pii/S01672...
Related URL: http://dx.doi.org/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 stepwise increase in the amplitude of oscillation due to successive phase locking between the driving frequency and nonlinear frequency. Such a nonstationary excitation has been shown to exist by an analytic approach using a 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.
Item Type: | Article |
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Source: | Copyright of this article belongs to Elsevier Science. |
Keywords: | Autoresonance; Bose-einstein Condensation; Variational Method; Action-angle Variable; Canonical Perturbation Theory |
ID Code: | 19650 |
Deposited On: | 22 Nov 2010 12:10 |
Last Modified: | 17 May 2016 04:09 |
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