Yuki Nakano, Kenichi Kasamatsu, Tetsuo Matsui
We study finite-temperature phase structures of hard-core bosons in a
two-dimensional optical lattice subject to an effective magnetic field by
employing the gauged CP$^1$ model. Based on the extensive Monte Carlo
simulations, we study their phase structures at finite temperatures for several
values of the magnetic flux per plaquette of the lattice and mean particle
density. Despite the presence of the particle number fluctuation, the
thermodynamic properties are qualitatively similar to those of the frustrated
XY model with only the phase as a dynamical variable. This suggests that cold
atom simulators of the frustrated XY model are available irrespective of the
particle filling at each site.
View original:
http://arxiv.org/abs/1112.0145
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