Vortex lattices in Bose-Einstein condensates: from the Thomas-Fermi to the lowest Landau level regime
arXiv:cond-mat/0509559 · doi:10.1103/PhysRevA.73.023615
Abstract
We consider a periodic vortex lattice in a rotating Bose-Einstein condensed gas, where the centrifugal potential is exactly compensated by the external harmonic trap. By introducing a gauge transformation which makes the Hamiltonian periodic, we solve numerically the 2D Gross-Pitaevskii equation finding the exact mean field ground state. In particular, we explore the crossover between the Thomas-Fermi regime, holding for large values of the coupling constant, and the lowest Landau level limit, corresponding to the weakly interacting case. Explicit results are given for the equation of state, the vortex core size, as well as the elastic shear modulus, which is crucial for the calculation of the Tkachenko frequencies.
arXiv comment4 pages, 4 figures
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- Structure of vortices in rotating Bose-Einstein condensates
- Breathing modes of a fast rotating Fermi gas
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- The axial breathing mode in rapidly rotating Bose-Einstein condensates and uncertainty of the rotation velocity
- Excitation spectrum of vortex-lattice modes in a rotating condensate with a density-dependent gauge potential