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Vortex solutions in a binary immiscible Bose-Einstein condensate

Lookup NU author(s): Dr Ryan DoranORCiD, Dr Andrew BaggaleyORCiD, Professor Nick ParkerORCiD

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This work is licensed under a Creative Commons Attribution 4.0 International License (CC BY 4.0).


Abstract

© 2024 authors. Published by the American Physical Society. Published by the American Physical Society under the terms of the "https://creativecommons.org/licenses/by/4.0/"Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.We consider the mean-field vortex solutions and their stability within a two-component Bose-Einstein condensate in the immiscible limit. A variational approach is employed to study a system consisting of a majority component which contains a single quantized vortex and a minority component which fills the vortex core. We show that a super-Gaussian function is a good approximation of the two-component vortex solution for a range of atom numbers of the infilling component by comparing the variational solutions to the full numerical solutions of the coupled Gross-Pitaevskii equations. We subsequently examine the stability of the vortex solutions by perturbing the infilling component away from the center of the vortex core, thereby demonstrating their stability to small perturbations. Finally, we consider the dynamics of infilled vortices.


Publication metadata

Author(s): Doran R, Baggaley AW, Parker NG

Publication type: Article

Publication status: Published

Journal: Physical Review A

Year: 2024

Volume: 109

Issue: 2

Online publication date: 14/02/2024

Acceptance date: 10/01/2024

Date deposited: 07/03/2024

ISSN (print): 2469-9926

ISSN (electronic): 2469-9934

Publisher: American Physical Society

URL: https://doi.org/10.1103/PhysRevA.109.023318

DOI: 10.1103/PhysRevA.109.023318

Data Access Statement: Data will be made available on request.


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Funding

Funder referenceFunder name
AstraZeneca
Cancer Research UK [C8717/ A28285, C5255/A18085]
Defence Science and Technology Laboratory
Diamond Light Source
EPSRC Centre for Doctoral Training in Synthesis for Biology and Medicine [EP/L015838/1]
European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme [679479, 101003111]
Evotec
GlaxoSmithKline
Janssen
Pfizer
NovartisNovartis Pharma AG
Syngenta
Takeda
Vertex
UCB

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