Nonlinear Dirac equation in Bose-Einstein condensates: preparation and stability of relativistic vortices
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 prac...
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| Main Authors: | , , |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
9 April 2015
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| In: |
Physical review. A, Atomic, molecular, and optical physics
Year: 2015, Volume: 91, Issue: 4, Pages: 1-11 |
| ISSN: | 1094-1622 |
| DOI: | 10.1103/PhysRevA.91.043609 |
| Online Access: | Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1103/PhysRevA.91.043609 Verlag, lizenzpflichtig, Volltext: https://link.aps.org/doi/10.1103/PhysRevA.91.043609 
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| Author Notes: | L.H. Haddad, K.M. O'Hara, and Lincoln D. Carr |
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| 520 | |a 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. | ||
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