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Matter-wave gap solitons in atomic bandgap structures

Elena A. Ostrovskaya·Yuri S. Kivshar
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Abstract

We demonstrate that a Bose-Einstein condensate in an optical lattice forms a reconfigurable matter-wave structure with a band-gap spectrum, which resembles a nonlinear photonic crystal for light waves. We study in detail the case of a two-dimensional square optical lattice and show that this atomic bandgap structure allows nonlinear localization of atomic Bloch waves in the form of two-dimensional matter-wave gap solitons.

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Elena A. Ostrovskaya, Yuri S. Kivshar. 2003-03-11. Matter-wave gap solitons in atomic bandgap structures. https://doi.org/10.1103/physrevlett.90.160407

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