Nonstationary excitations in Bose-Einstein condensates under the action of periodically varying scattering length with time dependent frequencies

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dc.creatorRajendran, S.
dc.creatorMuruganandam, P.
dc.creatorLakshmanan, M.
dc.date2007-01-04
dc.date.accessioned2026-07-07T07:51:00Z
dc.date.available2026-07-07T07:51:00Z
dc.descriptionWe 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.
dc.description17 pages, 6 figures (to be published in Physica D)
dc.identifierhttps://arxiv.org/abs/nlin/0701011
dc.identifierhttp://arxiv.org/abs/nlin/0701011
dc.identifierPhysica D 227 (2007) 1-7
dc.identifierdoi:10.1016/j.physd.2007.01.001
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/125362
dc.subjectPattern Formation and Solitons
dc.subjectSoft Condensed Matter
dc.titleNonstationary excitations in Bose-Einstein condensates under the action of periodically varying scattering length with time dependent frequencies
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