Exploring bistability in rotating BoseEinstein condensates by a quotient transformation invariant continuation method

Yueh Cheng Kuo, Wen Wei Lin, Shih-Feng Shieh, Weichung Wang

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2 Citations (Scopus)


We study the discrete nonlinear Schrdinger (DNLS) equations that model rotating BoseEinstein Condensates (BEC) both analytically and numerically. Due to the difficulties associated with transformation invariant solutions, standard continuation methods may not properly follow the solution curves of the DNLS equations. We propose a quotient transformation invariant continuation method to circumvent this obstacle. We also analyze the bifurcation properties of the primal stalk solution curve corresponding to the DNLS equations for an isotropic trap. In numerical computation, the existence of a bistable region corresponding to the bound states with a 0- or 1-vortex is shown. This finding not only agrees with the physics of the experimental phenomena, but also explains why a 0- or 1-vortex may be observed within a certain region that has an angular velocity. Numerical evidence shows that trap potentials have little effect on the width of the bistable regions. In contrast, intra-component scattering length significantly affects the bistable region.

Original languageEnglish
Pages (from-to)78-88
Number of pages11
JournalPhysica D: Nonlinear Phenomena
Issue number1
Publication statusPublished - 2011 Jan 1



  • Bistability
  • Nonlinear Schrdinger equations
  • Quotient transformation invariant continuation method
  • Rotating BoseEinstein condensates

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Condensed Matter Physics
  • Applied Mathematics

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