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Vortices in Bose-Einstein condensates confined in a multiply connected Laguerre-Gaussian optical trap
 

Summary: Vortices in Bose-Einstein condensates confined
in a multiply connected Laguerre-Gaussian optical trap
J. Tempere and J. T. Devreese
Departement Natuurkunde, Universiteit Antwerpen UIA, Universiteitsplein 1, B-2610 Antwerpen, Belgium
E. R. I. Abraham
Department of Physics and Astronomy, University of Oklahoma, 440 W. Brooks, Norman, Oklahoma 73019
Received 29 February 2000; revised manuscript received 21 December 2000; published 5 July 2001
The quantized vortex state is investigated in a Bose-Einstein condensate, confined in a multiply connected
geometry formed by a Laguerre-Gaussian optical trap. Solving the Gross-Pitaevskii equation variationally, we
show that the criterion for vortex stability is that the interatomic interaction strength must exceed a critical
interaction strength. The time evolution of a freely expanding Laguerre-Gaussian condensate with a vortex is
calculated and used to derive the interference pattern of such a condensate overlapping with a parabolically
trapped condensate.
DOI: 10.1103/PhysRevA.64.023603 PACS number s : 03.75.Fi, 05.30.Jp, 32.80.Pj
I. INTRODUCTION
Superfluidity, and its characteristic manifestation as a
state with quantized circulation a vortex , is intimately con-
nected with the phenomenon of Bose-Einstein condensation,
yet the precise relation between superfluid persistent currents
and Bose-Einstein condensation BEC is only beginning to

  

Source: Abraham, Eric - Department of Physics and Astronomy, University of Oklahoma

 

Collections: Physics