Finite-temperature phase structures of hard-core bosons in an optical lattice with an effective magnetic field

Abstract

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.

13 pages, 9 figures

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Cited by in corpus (6)

• Phase diagrams of Bose-Hubbard model and Haldane-Bose-Hubbard model with complex hopping amplitudes
• Conductivity of strongly correlated bosons in optical lattices in an Abelian synthetic magnetic field
• Trapped Bose-Einstein condensates in synthetic magnetic field
• Effective field theory for two-species bosons in an optical lattice: Multiple order, the Nambu-Goldstone bosons, the Higgs mode and vortex lattice
• Berezinskii-Kosterlitz-Thouless transition of two-dimensional Bose gases in a synthetic magnetic field
• Finite size effects and Hofstadter butterfly in a bosonic Mott insulator with relativistic dispersion background