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arXiv · 0708.2128

Self-Trapping of Bose-Einstein Condensates in an Optical Lattice: the Effect of the System Dimension

Ju-Kui Xue·Ai-Xia Zhang·Jie Liu
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Abstract

In the present paper, we investigate the dynamics of a Bose-Einstein condensates (BEC) loaded into an deep optical lattice of 1D, 2D and 3D, both analytically and numerically. We focus on the self-trapping state and the effect of the system dimension. Under the tight-binding approximation we obtain an analytical criterion for the self-trapping state of BEC using time-dependent variational method. The phase diagram for self-trapping, soliton, breather, or diffusion of the BEC cloud is obtained accordingly and verified by directly solving the discrete Gross-Pitaevskii equation (GPE) numerically. In particular, we find that the criterion and the phase diagrams are modified dramatically by the dimension of the lattices.

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Ju-Kui Xue, Ai-Xia Zhang, Jie Liu. 2007-08-16. Self-Trapping of Bose-Einstein Condensates in an Optical Lattice: the Effect of the System Dimension. https://doi.org/10.1103/physreva.77.013602

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