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arXiv:cond-mat/0303239 · Journal of Computational Physics

Numerical solution of the Gross–Pitaevskii equation for Bose–Einstein condensation

Weizhu Bao, Dieter Jaksch, Peter A. Markowich

Published Apr 23, 2003• 638 citations
arXivHTMLPDF
DOI
10.1016/s0021-9991(03)00102-5

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We have studied theoretically the Bose-Einstein condensation (BEC) of two-dimensional excitons in a ring with a small random variation of the effective exciton potential along the circumference. We derive a nonlinear Gross-Pitaevskii equation (GPE) for such a condensate, which is valid even in the presence of a weak magnetic field. For several types of random potentials, our numerical solution of the ground state of the GPE displays a necklace-like structure. This is a consequence of the interplay between the random potential and a strong nonlinear repulsive term in the GPE.
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