Quasiparticles of widely tuneable inertial mass: The dispersion relation of atomic Josephson vortices and related solitary waves

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dc.citation.issue3
dc.citation.volume4
dc.contributor.authorShamailov SS
dc.contributor.authorBrand J
dc.date.accessioned2023-11-29T22:47:18Z
dc.date.accessioned2024-07-25T06:33:52Z
dc.date.available2023-11-29T22:47:18Z
dc.date.available2024-07-25T06:33:52Z
dc.date.issued2018-03-01
dc.description.abstractSuperconducting Josephson vortices have direct analogues in ultracold-atom physics as solitary-wave excitations of two-component superfluid Bose gases with linear coupling. Here we numerically extend the zero-velocity Josephson vortex solutions of the coupled Gross-Pitaevskii equations to non-zero velocities, thus obtaining the full dispersion relation. The inertial mass of the Josephson vortex obtained from the dispersion relation depends on the strength of linear coupling and has a simple pole divergence at a critical value where it changes sign while assuming large absolute values. Additional low-velocity quasiparticles with negative inertial mass emerge at finite momentum that are reminiscent of a dark soliton in one component with counter-flow in the other. In the limit of small linear coupling we compare the Josephson vortex solutions to sine-Gordon solitons and show that the correspondence between them is asymptotic, but significant differences appear at finite values of the coupling constant. Finally, for unequal and non-zero self- and cross-component nonlinearities, we find a new solitary-wave excitation branch. In its presence, both dark solitons and Josephson vortices are dynamically stable while the new excitations are unstable.
dc.identifier.author-urlhttp://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000432739600005&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=c5bb3b2499afac691c2e3c1a83ef6fef
dc.identifier.citationShamailov SS, Brand J. (2018). Quasiparticles of widely tuneable inertial mass: The dispersion relation of atomic Josephson vortices and related solitary waves. SciPost Physics. 4. 3.
dc.identifier.doi10.21468/SciPostPhys.4.3.018
dc.identifier.eissn2542-4653
dc.identifier.elements-typejournal-article
dc.identifier.issn2542-4653
dc.identifier.numberARTN 018
dc.identifier.urihttps://mro.massey.ac.nz/handle/10179/70431
dc.publisherSciPost Foundation
dc.relation.isPartOfSciPost Physics
dc.rights(c) The Author/s 2018
dc.rightsCC BY 4.0
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.titleQuasiparticles of widely tuneable inertial mass: The dispersion relation of atomic Josephson vortices and related solitary waves
dc.typeJournal article
pubs.elements-id429082
pubs.organisational-groupOther
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