Two-dimensional superfluid flows in inhomogeneous Bose-Einstein condensates.

Two-dimensional superfluid flows in inhomogeneous Bose-Einstein condensates.
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DOI：
10.1103/physreve.85.016601
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发表时间：
2011-12
期刊：
Physical review. E, Statistical, nonlinear, and soft matter physics
影响因子：
--
通讯作者：
Zhenya Yan;V. Konotop;A. Yulin;Wu-Ming Liu
Zhenya Yan;V. Konotop;A. Yulin;Wu-Ming Liu
中科院分区：
其他
文献类型：
--
作者：
Zhenya Yan;V. Konotop;A. Yulin;Wu-Ming Liu

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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.