Nonlinear Dirac equation in Bose-Einstein condensates

• Verfasst von: Haddad, Laith H. [VerfasserIn]
• Verfasst von: O'Hara, Kenneth M. [VerfasserIn]
• Verfasst von: Carr, Lincoln D. [VerfasserIn]
• Titel: Nonlinear Dirac equation in Bose-Einstein condensates
• Titelzusatz: preparation and stability of relativistic vortices
• Verf.angabe: L.H. Haddad, K.M. O'Hara, and Lincoln D. Carr
• E-Jahr: 2015
• Jahr: 9 April 2015
• Umfang: 11 S.
• Teil: volume:91
• Teil: year:2015
• Teil: number:4
• Teil: elocationid:043609
• Teil: pages:1-11
• Teil: extent:11
• Fussnoten: Gesehen am 03.03.2021
• Titel Quelle: Enthalten in: Physical review / A
• Ort Quelle: College Park, Md., 1970
• Jahr Quelle: 2015
• Band/Heft Quelle: 91(2015), 4, Artikel-ID 043609, Seite 1-11
• ISSN Quelle: 1094-1622
• DOI: doi:10.1103/PhysRevA.91.043609
• Datenträger: Online-Ressource
• Sprache: eng
• K10plus-PPN: 1750199718

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.