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arXiv · 1112.5499

Two-Dimensional Superfluid Flows in Inhomogeneous Bose-Einstein Condensates

Zhenya Yan·V. V. Konotop·A. V. Yulin·W. M. Liu
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Abstract

We report a novel algorithm of constructing linear and nonlinear potentials in the two-dimensional Gross-Pitaevskii equation subject to given boundary conditions, which allow for exact analytic solutions. The obtained solutions represent superfluid flows in inhomogeneous Bose-Einstein condensates. The method is based on the combination of the similarity reduction of the two-dimensional Gross-Pitaevskii equation to the one-dimensional nonlinear Schrodinger equation, the latter allowing for exact solutions, with the conformal mapping of the given domain, where the flow is considered, to a half-space. The stability of the obtained flows is addressed. A number of stable and physically relevant examples are described.

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Zhenya Yan, V. V. Konotop, A. V. Yulin, W. M. Liu. 2011-12-23. Two-Dimensional Superfluid Flows in Inhomogeneous Bose-Einstein Condensates. https://doi.org/10.1103/physreve.85.016601

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