Anomalous rotational properties of Bose-Einstein condensates in asymmetric traps

Details Anomalous rotational properties of Bose-Einstein condensates in asymmetric traps Anomalous rotational properties of Bose-Einstein condensates in asymmetric traps

2000-03-28

arxiv.org/abs/cond-mat/0003451v2

Phys. Rev. A 64, 013602 (2001)

Physics

Condensed Matter

Statistical Mechanics

4 RevTeX pages, 2 EPS figures; typos fixed, reference added

Scientific paper

10.1103/PhysRevA.64.013602

We study the rotational properties of a Bose-Einstein condensate confined in a rotating harmonic trap for different trap anisotropies. Using simple arguments, we derive expressions for the velocity field of the quantum fluid for condensates with or without vortices. While the condensed gas describes open spiraling trajectories, on the frame of reference of the rotating trap the motion of the fluid is against the trap rotation. We also find explicit formulae for the angular momentum and a linear and Thomas-Fermi solutions for the state without vortices. In these two limits we also find an analytic relation between the shape of the cloud and the rotation speed. The predictions are supported by numerical simulations of the mean field Gross-Pitaevskii model.

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