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arXiv:1112.5499 · Physical Review E

Two-dimensional superfluid flows in inhomogeneous Bose-Einstein condensates

Zhenya Yan, V. V. Konotop, Alexey V. Yulin, W. M. Liu

Published Jan 5, 2012• 19 citations
arXivHTMLPDF

Abstract

We report an 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 Schrödinger 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.

DOI
10.1103/physreve.85.016601

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