Dynamics of vortices in weakly interacting Bose-Einstein condensates

Journal Article · Mon Oct 15 04:00:00 EDT 2007 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.76.043602· OSTI ID:21020769

Klein, Alexander; Jaksch, Dieter; Yanzhi, Zhang; Weizhu, Bao ^[1]

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1. Clarendon Laboratory, University of Oxford, Parks Road, Oxford OX1 3PU (United Kingdom) and Keble College, Parks Road, Oxford OX1 3PG (United Kingdom)

We study the dynamics of vortices in ideal and weakly interacting Bose-Einstein condensates using a Ritz minimization method to solve the two-dimensional Gross-Pitaevskii equation. For different initial vortex configurations we calculate the trajectories of the vortices. We find conditions under which a vortex-antivortex pair annihilates and is created again. For the case of three vortices we show that at certain times two additional vortices may be created, which move through the condensate and annihilate each other again. For a noninteracting condensate this process is periodic, whereas for small interactions the essential features persist, but the periodicity is lost. The results are compared to exact numerical solutions of the Gross-Pitaevskii equation confirming our analytical findings.

• OSTI ID: 21020769
• Journal Information: Physical Review. A, Journal Name: Physical Review. A Journal Issue: 4 Vol. 76; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
BOSE-EINSTEIN CONDENSATION
EQUATIONS
MINIMIZATION
NUMERICAL SOLUTION
PERIODICITY
SUPERFLUIDITY
TWO-DIMENSIONAL CALCULATIONS
VORTICES
WEAK INTERACTIONS