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EXACT SOLUTIONS TO THE THREE-DIMENSIONAL GROSS–PITAEVSKII EQUATION WITH MODULATED RADIAL NONLINEARITY

WEI-TING WANG

Department of Physics, Beijing Normal University, Beijing 100875, China

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YING-YING LI

Department of Physics, Beijing Normal University, Beijing 100875, China

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SHI-JIE YANG

Department of Physics, Beijing Normal University, Beijing 100875, China

State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing 100190, China

Corresponding author.

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https://doi.org/10.1142/S0217984913501054Cited by:0 (Source: Crossref)

Abstract

We study the Bose–Einstein condensate trapped in a three-dimensional spherically symmetrical potential. Exact solutions to the stationary Gross–Pitaevskii equation are obtained for properly modulated radial nonlinearity. The solutions contain vortices with different winding numbers and exhibit the shell-soliton feature in the radial distributions.

Keywords:

PACS: 03.75.Lm, 05.45.Yv, 67.85.Bc

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