182 research outputs found
Vortex patterns in a fast rotating Bose-Einstein condensate
For a fast rotating condensate in a harmonic trap, we investigate the
structure of the vortex lattice using wave functions minimizing the Gross
Pitaveskii energy in the Lowest Landau Level. We find that the minimizer of the
energy in the rotating frame has a distorted vortex lattice for which we plot
the typical distribution. We compute analytically the energy of an infinite
regular lattice and of a class of distorted lattices. We find the optimal
distortion and relate it to the decay of the wave function. Finally, we
generalize our method to other trapping potentials
Bose-Einstein condensates in fast rotation
In this short review we present our recent results concerning the rotation of
atomic Bose-Einstein condensates confined in quadratic or quartic potentials,
and give an overview of the field. We first describe the procedure used to set
an atomic gas in rotation and briefly discuss the physics of condensates
containing a single vortex line. We then address the regime of fast rotation in
harmonic traps, where the rotation frequency is close to the trapping
frequency. In this limit the Landau Level formalism is well suited to describe
the system. The problem of the condensation temperature of a fast rotating gas
is discussed, as well as the equilibrium shape of the cloud and the structure
of the vortex lattice. Finally we review results obtained with a quadratic +
quartic potential, which allows to study a regime where the rotation frequency
is equal to or larger than the harmonic trapping frequency.Comment: Laser Physics Letters 2, 275 (2005
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