Symmetry breaking and singularity structure in Bose-Einstein condensates

dc.contributor.authorCommeford, K. A.
dc.contributor.authorGarcia-March, Miguel A.
dc.contributor.authorFerrando, A.
dc.contributor.authorCarr, Lincoln D.
dc.contributor.funderNational Science Foundation
dc.contributor.funderAlexander von Humboldt-Stiftung
dc.contributor.funderZentrum für Quantendynamik, Universität Heidelberg
dc.contributor.funderMinistry of Education and Science
dc.contributor.funderUS-UK Fulbright Commission
dc.contributor.funderMinisterio de Economía y Competitividad
dc.date.accessioned2017-08-22T10:30:37Z
dc.date.available2017-08-22T10:30:37Z
dc.date.issued2012
dc.description.abstractWe determine the trajectories of vortex singularities that arise after a single vortex is broken by a discretely symmetric impulse in the context of Bose-Einstein condensates in a harmonic trap. The dynamics of these singularities are analyzed to determine the form of the imprinted motion. We find that the symmetry-breaking process introduces two effective forces: a repulsive harmonic force that causes the daughter trajectories to be ejected from the parent singularity and a Magnus force that introduces a torque about the axis of symmetry. For the analytical noninteracting case we find that the parent singularity is reconstructed from the daughter singularities after one period of the trapping frequency. The interactions between singularities in the weakly interacting system do not allow the parent vortex to be reconstructed. Analytic trajectories were compared to the actual minima of the wave function, showing less than 0.5% error for an impulse strength of v = 0.00005. We show that these solutions are valid within the impulse regime for various impulse strengths using numerical integration of the Gross-Pitaevskii equation. We also show that the actual duration of the symmetry-breaking potential does not significantly change the dynamics of the system as long as the strength is below v = 0.0005.en
dc.description.sponsorshipMinisterio de Economía y Competitividad (TEC2010-15327)en
dc.description.statusPeer revieweden
dc.description.versionPublished Versionen
dc.format.mimetypeapplication/pdfen
dc.identifier.articleid23627
dc.identifier.citationCommeford, K. A., Garcia-March, M. A., Ferrando, A. and Carr, L. D. (2012) 'Symmetry breaking and singularity structure in Bose-Einstein condensates', Physical Review A, 86(2), 023627 (12pp). doi: 10.1103/PhysRevA.86.023627en
dc.identifier.doi10.1103/PhysRevA.86.023627
dc.identifier.issn2469-9926
dc.identifier.issn2469-9934
dc.identifier.issued2
dc.identifier.journaltitlePhysical Review Aen
dc.identifier.urihttps://hdl.handle.net/10468/4498
dc.identifier.volume86
dc.language.isoenen
dc.publisherAmerican Physical Societyen
dc.relation.urihttps://journals.aps.org/pra/abstract/10.1103/PhysRevA.86.023627
dc.rights© 2012, American Physical Societyen
dc.subjectVorticesen
dc.subjectLinesen
dc.subjectSuperconductorsen
dc.subjectDynamicsen
dc.subjectWavesen
dc.titleSymmetry breaking and singularity structure in Bose-Einstein condensatesen
dc.typeArticle (peer-reviewed)en
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