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Breaking of Josephson junction oscillations and onset of quantum turbulence in Bose–Einstein condensates

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Griffin, Adam, Nazarenko, Sergey and Proment, Davide (2020) Breaking of Josephson junction oscillations and onset of quantum turbulence in Bose–Einstein condensates. Journal of Physics A: Mathematical and Theoretical, 53 (17). 175701. doi:10.1088/1751-8121/ab7ad0 ISSN 1751-8113.

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Official URL: http://dx.doi.org/10.1088/1751-8121/ab7ad0

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Abstract

We analyse the formation and the dynamics of quantum turbulence in a two-dimensional Bose–Einstein condensate with a Josephson junction barrier modeled using the Gross–Pitaevskii equation. We show that a sufficiently high initial superfluid density imbalance leads to randomisation of the dynamics and generation of turbulence, namely, the formation of a quasi-1D dispersive shock consisting of a train of grey solitons that eventually breakup into chains of distinct quantised vortices of alternating vorticity followed by random turbulent flow. The Josephson junction barrier allows us to create two turbulent regimes: acoustic turbulence on one side and vortex turbulence on the other. Throughout the dynamics, a key mechanism for mixing these two regimes is the transmission of vortex dipoles through the barrier: we analyse this scattering process in terms of the barrier parameters, sound emission and vortex annihilation. Finally, we discuss how the vortex turbulence evolves for long times, presenting the optimal configurations for the density imbalance and barrier height in order to create the desired turbulent regimes which last as long as possible.

Item Type: Journal Article
Subjects: Q Science > QC Physics
Divisions: Faculty of Science, Engineering and Medicine > Science > Mathematics
Journal or Publication Title: Journal of Physics A: Mathematical and Theoretical
Publisher: IOP Publishing Ltd
ISSN: 1751-8113
Official Date: 6 April 2020
Dates:
DateEvent
6 April 2020Published
27 February 2020Accepted
23 September 2019Submitted
Volume: 53
Number: 17
Article Number: 175701
DOI: 10.1088/1751-8121/ab7ad0
Status: Peer Reviewed
Publication Status: Published
Access rights to Published version: Open Access (Creative Commons)
Date of first compliant deposit: 4 September 2020
Date of first compliant Open Access: 4 September 2020
RIOXX Funder/Project Grant:
Project/Grant IDRIOXX Funder NameFunder ID
EP/P023770/1[EPSRC] Engineering and Physical Sciences Research Councilhttp://dx.doi.org/10.13039/501100000266
Chaire D’ExcellenceIDEX (Initiative of Excellence)Université de la Côte d’Azur, FranceUNSPECIFIED
823937H2020 Marie Skłodowska-Curie Actionshttp://dx.doi.org/10.13039/100010665
820392H2020 Future and Emerging Technologieshttp://dx.doi.org/10.13039/100010664
Is Part Of: 1

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