Nonlinear Dirac equation in Bose-Einstein condensates: Preparation and stability of relativistic vortices

L. H. Haddad, Kenneth O'Hara, Lincoln D. Carr

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Abstract

We propose a detailed experimental procedure for preparing relativistic vortices, governed by the nonlinear Dirac equation, in a two-dimensional Bose-Einstein condensate (BEC) in a honeycomb optical lattice. Our setup contains Dirac points, in direct analogy to graphene. We determine a range of practical values for all relevant physical parameters needed to realize relativistic vortices in a BEC of 87Rb atoms. Seven distinct vortex types, including Anderson-Toulouse and Mermin-Ho skyrmion textures and half-quantum vortices, are obtained, and their discrete spectra and stability properties are calculated in a weak harmonic trap. We predict that most vortices are stable, with a lifetime between 1 and 10 s.

Original languageEnglish (US)
Article number043609
JournalPhysical Review A - Atomic, Molecular, and Optical Physics
Volume91
Issue number4
DOIs
Publication statusPublished - Apr 9 2015

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All Science Journal Classification (ASJC) codes

  • Atomic and Molecular Physics, and Optics

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