 
Summary: Vortices in BoseEinstein condensates confined
in a multiply connected LaguerreGaussian optical trap
J. Tempere and J. T. Devreese
Departement Natuurkunde, Universiteit Antwerpen UIA, Universiteitsplein 1, B2610 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 BoseEinstein condensate, confined in a multiply connected
geometry formed by a LaguerreGaussian optical trap. Solving the GrossPitaevskii 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 LaguerreGaussian 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 BoseEinstein condensation,
yet the precise relation between superfluid persistent currents
and BoseEinstein condensation BEC is only beginning to
