Melnikov Chaos of a Two-Species Bose-Einstein Condensate in the Tilted Optical Lattices

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Abstract:

The chaotic character of a two-species Bose-Einstein condensate in titled optical lattices is investigated. We obtained two perturbation solutions of the two coupled Gross-Pitaevskii equations by using the direct perturbation method. Theoretical analysis revels that the perturbation solutions are chaotic ones because they satisfy the Melnikov chaos criterion, which indicates that the existence of chaotic behavior of the system. The corresponding numerical results agree well with the theoretical results. When the system parameters and initial conditions of the two coupled condensates are identical, the phase portraits in the (u, du/dx) and (v, dv/dx) planes are identical and means that the two condensates are synchronized. However, they are different and asynchronous when there is any very small difference between these parameters or initial conditions, which showed that the system parameters and initial conditions play a very important role in chaos control and synchronization.

Keywords: BOSE-EINSTEIN CONDENSATE; CHAOS; SYNCHRONIZATION; TITLED OPTICAL LATTICES

Document Type: Research Article

DOI: http://dx.doi.org/10.1166/asl.2011.1918

Publication date: November 1, 2011

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  • ADVANCED SCIENCE LETTERS is an international peer-reviewed journal with a very wide-ranging coverage, consolidates research activities in all areas of (1) Physical Sciences, (2) Biological Sciences, (3) Mathematical Sciences, (4) Engineering, (5) Computer and Information Sciences, and (6) Geosciences to publish original short communications, full research papers and timely brief (mini) reviews with authors photo and biography encompassing the basic and applied research and current developments in educational aspects of these scientific areas.
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