Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2008-06-12
Phys. Rev. A 79, 021604 (2009)
Physics
Condensed Matter
Statistical Mechanics
5 pages, 2 figures
Scientific paper
10.1103/PhysRevA.79.021604
We derive a uniformly frustrated $XY$ model that describes two-dimensional Josephson-junction arrays consisting of rotating Bose-Einstein condensates trapped by both a harmonic trap and a corotating deep optical lattice. The harmonic trap makes the coupling constant of the model have a nonuniform parabolic dependance. We study the ground state through Monte Carlo simulations in a wide range of the frustration parameter $f$, revealing a rich variety of vortex patterns.
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