Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2004-01-12
Physical Review A, 69, 063609 (2004)
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
12 pages, 8 figures
Scientific paper
10.1103/PhysRevA.69.063609
In this paper we systematically study the double layer vortex lattice model, which is proposed to illustrate the interplay between the physics of a fast rotating Bose-Einstein condensate and the macroscopic quantum tunnelling. The phase diagram of the system is obtained. We find that under certain conditions the system will exhibit one novel phase transition, which is consequence of competition between inter-layer coherent hopping and inter-layer density-density interaction. In one phase the vortices in one layer coincide with those in the other layer. And in another phase two sets of vortex lattices are staggered, and as a result the quantum tunnelling between two layers is suppressed. To obtain the phase diagram we use two kinds of mean field theories which are quantum Hall mean field and Thomas-Fermi mean field. Two different criteria for the transition taking place are obtained respectively, which reveals some fundamental differences between these two mean field states. The sliding mode excitation is also discussed.
Chang Lee
Lv Rong
Zhai Hui
Zhou Qi
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