Center of mass rotation and vortices in an attractive Bose gas
arXiv:cond-mat/0403326 · doi:10.1103/PhysRevA.71.023613
Abstract
The rotational properties of an attractively interacting Bose gas are studied using analytical and numerical methods. We study perturbatively the ground state phase space for weak interactions, and find that in an anharmonic trap the rotational ground states are vortex or center of mass rotational states; the crossover line separating these two phases is calculated. We further show that the Gross-Pitaevskii equation is a valid description of such a gas in the rotating frame and calculate numerically the phase space structure using this equation. It is found that the transition between vortex and center of mass rotation is gradual; furthermore the perturbative approach is valid only in an exceedingly small portion of phase space. We also present an intuitive picture of the physics involved in terms of correlated successive measurements for the center of mass state.
arXiv commentversion2, 17 pages, 5 figures (3 eps and 2 jpg)
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- Formation of a condensed state with macroscopic number of phonons in ultracold Bose gases
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- Rotating quantum droplets confined in an anharmonic potential
- Multiplicity, asymptotics and stability of standing waves for nonlinear Schrödinger equation with rotation