Physics – Condensed Matter – Quantum Gases
Scientific paper
2010-05-18
Phys. Rev. A 82, 063606 (2010)
Physics
Condensed Matter
Quantum Gases
Added a paragraph to Section III; Revised arguments in Section III.A, results unchanged; Added references
Scientific paper
10.1103/PhysRevA.82.063606
We investigate the effects of correlations on the properties of the ground state of the rotating harmonically-trapped Bose gas by adding Bogoliubov fluctuations to the mean-field ground state of an $N$-particle single-vortex system. We demonstrate that the fluctuation-induced correlations lower the energy compared to that of the mean-field ground state, that the vortex core is pushed slightly away from the center of the trap, and that an unstable mode with negative energy (for rotations slower than a critical frequency) emerges in the energy spectrum, thus, pointing to a better state for slow rotation. We construct mean-field ground states of 0-, 1-, and 2-vortex states as a function of rotation rate and determine the critical frequencies for transitions between these states, as well as the critical frequency for appearance of a metastable state with an off-center vortex and its image vortex in the evanescent tail of the cloud.
Baharian Soheil
Baym Gordon
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