Breathing mode of rapidly rotating Bose-Einstein condensates

Abstract

We show that the breathing mode of a rapidly-rotating, harmonically-trapped Bose-Einstein condensate may be described by a generalized lowest Landau level (LLL) wave function, in which the oscillator length is treated as a variable. Using this wave function in a variational Lagrangian formalism, we show that the frequency of the breathing mode for a two-dimensional cloud is $2{\omega }_{\perp }$, where ${\omega }_{\perp }$ is the trap frequency. We also study large-amplitude oscillations and confirm that the above result is not limited to linear oscillations. The resulting mode frequency can be understood in terms of orbits of a single particle in a harmonic trap. The mode frequency is also calculated for a cloud in three dimensions and the result for the axial breathing mode frequency agrees with recent experimental data in the rapid rotation regime.

10 pages, 3 figures. Extended discussion. see also cond-mat/0512317. Accepted for publication in Phys. Rev. A, one reference added

References in corpus (7)

• Rapidly Rotating Bose-Einstein Condensates in and near the Lowest Landau Level
• Vortex patterns in a fast rotating Bose-Einstein condensate
• Experimental studies of equilibrium vortex properties in a Bose-condensed gas
• Landau levels and the Thomas-Fermi structure of rapidly rotating Bose-Einstein condensates
• Vortex lattices in the lowest Landau level for confined Bose-Einstein condensates
• Collective Oscillations of Vortex Lattices in Rotating Bose-Einstein Condensates
• Oscillations of a rapidly rotating annular Bose-Einstein condensate

Cited by in corpus (8)

• Hydrodynamical description of first-order phase transitions: Analytical treatment and numerical modeling
• Vinen turbulence via the decay of multicharged vortices in trapped atomic Bose-Einstein condensates
• Breathing mode in two-dimensional binary self-bound Bose gas droplets
• Non-uniform vortex lattices in inhomogeneous rotating Bose-Einstein condensates
• Ground and Low-Lying Collective States of Rotating Three-Boson System
• The axial breathing mode in rapidly rotating Bose-Einstein condensates and uncertainty of the rotation velocity
• Scale Invariance in the Lowest Landau Level
• Spontaneous symmetry breaking in rotating condensates of ultracold atoms