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Rotating trapped Bose-Einstein condensates

Fetter, Alexander L.·2009·Reviews of Modern Physics

Abstract

After reviewing the ideal Bose-Einstein gas in a box and in a harmonic trap, the effect of interactions on the formation of a Bose-Einstein condensate are discussed, along with the dynamics of small-amplitude perturbations (the Bogoliubov equations). When the condensate rotates with angular velocity $\ensuremath{\Omega}$, one or several vortices nucleate, leading to many observable consequences. With more rapid rotation, the vortices form a dense triangular array, and the collective behavior of these vortices has additional experimental implications. For $\ensuremath{\Omega}$ near the radial trap frequency ${\ensuremath{\omega}}_{\ensuremath{\perp}}$, the lowest-Landau-level approximation becomes applicable, providing a simple picture of such rapidly rotating condensates. Eventually, as $\ensuremath{\Omega}\ensuremath{\rightarrow}{\ensuremath{\omega}}_{\ensuremath{\perp}}$, the rotating dilute gas is expected to undergo a quantum phase transition from a superfluid to various highly correlated (nonsuperfluid) states analogous to those familiar from the fractional quantum Hall effect for electrons in a strong perpendicular magnetic field.

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Metadata

Authors
Fetter, A. L.
Venue
Reviews of Modern Physics
Published
2009-05-18
Volume
81
Issue
2
Pages
647-691
ISSN
  • 0034-6861 (ISSN-L)
  • 1539-0756
OpenAlex
W2176364383
Cited by
1,165
References
9
FWCI
33.64
Type
journal article
Language
en
Open access
closed

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CoChat. (2026). Citation check: Rotating trapped Bose-Einstein condensates. https://app.cochat.ai/papers/10.1103/revmodphys.81.647
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Fetter, A. L. (2009). Rotating trapped Bose-Einstein condensates. Reviews of Modern Physics. https://doi.org/10.1103/revmodphys.81.647

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