Dynamics of a single ring of vortices in two-dimensional trapped Bose-Einstein condensates

The dynamics of a ring of vortices in two-dimensional Bose-Einstein condensates (with and without an additional vortex at the center) is studied for (1) a uniform condensate in a rigid cylinder and (2) a nonuniform trapped condensate in the Thomas-Fermi limit. The sequence of ground states (within t...

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Bibliographic Details
Published inarXiv.org
Main Authors Jong-kwan, Kim, Fetter, Alexander L
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 01.07.2004
Subjects
Bose-Einstein condensates
Cylinders
Dynamic stability
Free energy
Ground state
Matter & antimatter
Quantum theory
Stability analysis
Vortices
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Summary:The dynamics of a ring of vortices in two-dimensional Bose-Einstein condensates (with and without an additional vortex at the center) is studied for (1) a uniform condensate in a rigid cylinder and (2) a nonuniform trapped condensate in the Thomas-Fermi limit. The sequence of ground states (within these single-ring configurations) is determined as a function of the external rotation frequency by comparing the free energy of the various states. For each ground state, the Tkachenko-like excitations and the associated dynamical stability are analyzed.
ISSN:2331-8422
DOI:10.48550/arxiv.0407048