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dc.contributor.authorCawte, Michael MacCormick
dc.contributor.authorYu, Xiaoquan
dc.contributor.authorAnderson, Brian P.
dc.contributor.authorBradley, Ashton
dc.date.accessioned2019-08-07T20:20:33Z
dc.date.available2019-08-07T20:20:33Z
dc.date.issued2019-03-13
dc.identifier.citationMacCormick Cawte, Michael & Yu, Xiaoquan & P. Anderson, Brian & Bradley, Ashton. (2019). Snell's Law for a vortex dipole in a Bose-Einstein condensate. SciPost Physics. 6. 10.21468/SciPostPhys.6.3.032.en_US
dc.identifier.issn2542-4653
dc.identifier.doi10.21468/scipostphys.6.3.032
dc.identifier.urihttp://hdl.handle.net/10150/633745
dc.description.abstractA quantum vortex dipole, comprised of a closely bound pair of vortices of equal strength with opposite circulation, is a spatially localized travelling excitation of a planar superfluid that carries linear momentum, suggesting a possible analogy with ray optics. We investigate numerically and analytically the motion of a quantum vortex dipole incident upon a step-change in the background superfluid density of an otherwise uniform two-dimensional Bose-Einstein condensate. Due to the conservation of fluid momentum and energy, the incident and refracted angles of the dipole satisfy a relation analogous to Snell's law, when crossing the interface between regions of different density. The predictions of the analogue Snell's law relation are confirmed for a wide range of incident angles by systematic numerical simulations of the Gross-Piteavskii equation. Near the critical angle for total internal reflection, we identify a regime of anomalous Snell's law behaviour where the finite size of the dipole causes transient capture by the interface. Remarkably, despite the extra complexity of the interface interaction, the incoming and outgoing dipole paths obey Snell's law.en_US
dc.description.sponsorshipMarsden Fund [UOO1726]; National Science Foundation [PHY-1607243]; Dodd-Walls Centre for Photonic and Quantum Technologiesen_US
dc.language.isoenen_US
dc.publisherSCIPOST FOUNDATIONen_US
dc.rightsCopyright © M. M. Cawte et al. This work is licensed under the Creative Commons Attribution 4.0 International License.en_US
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.titleSnell's Law for a vortex dipole in a Bose-Einstein condensateen_US
dc.typeArticleen_US
dc.contributor.departmentUniv Arizona, Ctr Opt Scien_US
dc.identifier.journalSCIPOST PHYSICSen_US
dc.description.noteOpen access journalen_US
dc.description.collectioninformationThis item from the UA Faculty Publications collection is made available by the University of Arizona with support from the University of Arizona Libraries. If you have questions, please contact us at repository@u.library.arizona.edu.en_US
dc.eprint.versionFinal published versionen_US
dc.source.volume6
dc.source.issue3
refterms.dateFOA2019-08-07T20:20:34Z


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Copyright © M. M. Cawte et al. This work is licensed under the Creative Commons Attribution 4.0 International License.
Except where otherwise noted, this item's license is described as Copyright © M. M. Cawte et al. This work is licensed under the Creative Commons Attribution 4.0 International License.