Improved Semiclassical Approximation for Bose-Einstein Condensates: Application to a BEC in an Optical Potential

Details Improved Semiclassical Approximation for Bose-Einstein Condensates: Application to a BEC in an Optical Potential Improved Semiclassical Approximation for Bose-Einstein Condensates: Application to a BEC in an Optical Potential

2002-07-31

arxiv.org/abs/cond-mat/0207739v1

Phys. Rev. A67, 023602 (2003)

Physics

Condensed Matter

Soft Condensed Matter

14 pages, 5 figures

Scientific paper

10.1103/PhysRevA.67.023602

We present semiclassical descriptions of Bose-Einstein condensates for configurations with spatial symmetry, e.g., cylindrical symmetry, and without any symmetry. The description of the cylindrical case is quasi-one-dimensional (Q1D), in the sense that one only needs to solve an effective 1D nonlinear Schrodinger equation, but the solution incorporates correct 3D aspects of the problem. The solution in classically allowed regions is matched onto that in classically forbidden regions by a connection formula that properly accounts for the nonlinear mean-field interaction. Special cases for vortex solutions are treated too. Comparisons of the Q1D solution with full 3D and Thomas-Fermi ones are presented.

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