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Modulational instability and moving gap soliton in Bose-Einstein condensation with Feshbach resonance management
, K. Porsezian
Published in Elsevier
2010
Volume: 239
   
Issue: 1-2
Pages: 1 - 8
Abstract
We investigate the modulational instability of symmetric and asymmetric continuous wave solutions in Bose-Einstein condensates in optical lattices with Feshbach resonance managed atomic scattering length. The model is based on a pair of averaged coupled mode Gross-Pitaevskii equations. We analyze the characteristics of the modulational instability in the form of typical dependence of the instability growth rate on the perturbation wavenumber and system's parameters. We have numerically solved the coupled mode equations by using the split step Fourier method. Convincing agreement has been obtained between analytical and numerical results. Furthermore, the moving and stationary gap solitons in the first spectral gap of the optical lattices for the same amplitude but different phases in the presence and absence of the mean atomic scattering length under the Feshbach resonance management are also constructed. © 2009 Elsevier B.V. All rights reserved.
About the journal
JournalData powered by TypesetPhysica D: Nonlinear Phenomena
PublisherData powered by TypesetElsevier
ISSN01672789