Symmetry breaking and singularity structure in Bose-Einstein condensates

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dc.contributor.author Commeford, K. A.
dc.contributor.author Garcia-March, Miguel A.
dc.contributor.author Ferrando, A.
dc.contributor.author Carr, Lincoln D.
dc.date.accessioned 2017-08-22T10:30:37Z
dc.date.available 2017-08-22T10:30:37Z
dc.date.issued 2012
dc.identifier.citation Commeford, 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.86.023627 en
dc.identifier.volume 86
dc.identifier.issued 2
dc.identifier.issn 2469-9926
dc.identifier.issn 2469-9934
dc.identifier.uri http://hdl.handle.net/10468/4498
dc.identifier.doi 10.1103/PhysRevA.86.023627
dc.description.abstract We 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.sponsorship Ministerio de Economía y Competitividad (TEC2010-15327) en
dc.format.mimetype application/pdf en
dc.language.iso en en
dc.publisher American Physical Society en
dc.relation.uri https://journals.aps.org/pra/abstract/10.1103/PhysRevA.86.023627
dc.rights © 2012, American Physical Society en
dc.subject Vortices en
dc.subject Lines en
dc.subject Superconductors en
dc.subject Dynamics en
dc.subject Waves en
dc.title Symmetry breaking and singularity structure in Bose-Einstein condensates en
dc.type Article (peer-reviewed) en
dc.internal.authorcontactother Miguel-Angel Garcia-March, Physics, University College Cork, Cork, Ireland. +353-21-490-3000. Email: magmarch@phys.ucc.ie en
dc.internal.availability Full text available en
dc.description.version Published Version en
dc.internal.wokid WOS:000307791100012
dc.contributor.funder National Science Foundation
dc.contributor.funder Alexander von Humboldt-Stiftung
dc.contributor.funder Zentrum für Quantendynamik, Universität Heidelberg
dc.contributor.funder Ministry of Education and Science
dc.contributor.funder US-UK Fulbright Commission
dc.contributor.funder Ministerio de Economía y Competitividad
dc.description.status Peer reviewed en
dc.identifier.journaltitle Physical Review A en
dc.internal.IRISemailaddress magmarch@phys.ucc.ie en
dc.identifier.articleid 23627


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