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arXiv:nlin/0609031 · Physical Review A

Simple and efficient generation of gap solitons in Bose-Einstein condensates

Michał Matuszewski, Wieslaw Z. Krolikowski, Marek Trippenbach, Yuri S. Kivshar

Published Jun 27, 2006• 24 citations
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Abstract

We suggest an efficient method for generating matter-wave gap solitons in a repulsive Bose-Einstein condensate, when the gap soliton is formed from a condensate cloud in a harmonic trap after turning on a one-dimensional optical lattice. We demonstrate numerically that this approach does not require preparing the initial atomic wave packet in a specific state corresponding to the edge of the Brillouin zone of the spectrum, and losses that occur during the soliton generation process can be suppressed by an appropriate adiabatic switching of the optical lattice.

DOI
10.1103/physreva.73.063621

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Abstract. We study mobility and interaction of gap solitons in a Bose-Einstein condensate (BEC) confined by an optical lattice potential. Such localized wavepackets can exist only in the gaps of the matter-wave band-gap spectrum and their interaction properties are shown to serve as a measure of discreteness imposed onto a BEC by the lattice potential. We show that inelastic collisions of two weakly localized nearthe-band-edge gap solitons provide simple and effective means for generating strongly localized in-gap solitons through soliton fusion.
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