Two-Dimensional Superfluid Flows in Inhomogeneous Bose-Einstein Condensates
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.
Cite
@article{arxiv.1112.5499,
title = {Two-Dimensional Superfluid Flows in Inhomogeneous Bose-Einstein Condensates},
author = {Zhenya Yan and V. V. Konotop and A. V. Yulin and W. M. Liu},
journal= {arXiv preprint arXiv:1112.5499},
year = {2015}
}
Comments
6 pages, 3 figures, Accepted for publication in Phys. Rev. E