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Vortex synchronization in Bose–Einstein condensates: a time-dependent Gross–Pitaevskii equation approach

Barnett, Ryan and Chen, Edward and Refael, Gil (2010) Vortex synchronization in Bose–Einstein condensates: a time-dependent Gross–Pitaevskii equation approach. New Journal of Physics, 12 (4). Art. No. 043004. ISSN 1367-2630. doi:10.1088/1367-2630/12/4/043004.

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In this work, we consider vortex lattices in rotating Bose–Einstein condensates composed of two species of bosons having different masses. Previously (Barnett et al 2008 New J. Phys. 10 043030), it was claimed that the vortices of the two species form bound pairs and the two vortex lattices lock. Remarkably, the two condensates and the external drive all rotate at different speeds owing to the disparity of the masses of the constituent bosons. In this paper, we study the system by solving the full two-component Gross–Pitaevskii equations numerically. Using this approach, we verify the stability of the putative locked state that is found to exist within a disc centered on the axis of rotation and that depends on the mass ratio of the two bosons. We also derive a refined estimate for the locking radius tailored to the experimentally relevant case of a harmonic trap and show that this agrees with the numerical results. Finally, we analyze in detail the rotation rates of the different components in the locked and unlocked regimes.

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Additional Information:© 2010 IOP Publishing Ltd . Received 25 January 2010. Published 1 April 2010. We thank M Porter and H-P Büchler for their collaboration in a related previous work. We also thank L Baksmaty for valuable advice on numerical methods. This work was supported by the Sherman Fairchild Foundation (RB); the Caltech SURF program (EC); and the Packard Foundation, the Sloan Foundation, the Institute for Quantum Information under NSF grants PHY-0456720 and PHY-0803371 and the Research Corporation Cottrell Scholars program (GR).
Funding AgencyGrant Number
Sherman Fairchild Foundation (RB)UNSPECIFIED
Caltech SURF program (EC)UNSPECIFIED
Packard FoundationUNSPECIFIED
Sloan FoundationUNSPECIFIED
Institute for Quantum InformationUNSPECIFIED
Research Corporation Cottrell Scholars program (GR)UNSPECIFIED
Subject Keywords:Quantum gases, liquids and solids, Statistical physics and nonlinear systems
Issue or Number:4
Classification Code:PACS: 03.75.Lm; 03.75.Mn; 05.30.Jp
Record Number:CaltechAUTHORS:20100518-103034288
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Official Citation:Vortex synchronization in Bose–Einstein condensates: a time-dependent Gross–Pitaevskii equation approach Ryan Barnett et al 2010 New J. Phys. 12 043004
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:18337
Deposited By: Ruth Sustaita
Deposited On:24 Jun 2010 20:53
Last Modified:12 Jul 2022 19:49

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