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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
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Official URL: http://dx.doi.org/10.1088/1751-8121/ab7ad0
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 | |||||||||||||||
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| Subjects: | Q Science > QC Physics | |||||||||||||||
| Divisions: | Faculty of 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: |
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| Date of first compliant deposit: | 4 September 2020 | |||||||||||||||
| 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 | |||||||||||||||
| RIOXX Funder/Project Grant: |
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