Monte Carlo study of two-dimensional Bose-Hubbard model

Abstract

One of the most promising applications of ultracold gases in optical lattices is the possibility to use them as quantum emulators of more complex condensed matter systems. We provide benchmark calculations, based on exact quantum Monte Carlo simulations, for the emulator to be tested against. We report results for the ground state phase diagram of the two-dimensional Bose-Hubbard model at unity filling factor. We precisely trace out the critical behavior of the system and resolve the region of small insulating gaps, Δ<< J. The critical point is found to be (J/U)_c=0.05974(3), in perfect agreement with the high-order strong-coupling expansion method of Ref. 1. In addition, we present data for the effective mass of particle and hole excitations inside the insulating phase and obtain the critical temperature for the superfluid-normal transition at unity filling factor.

4 pages 5 figures. Some changes in the text have been made

References in corpus (4)

• Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
• Evidence for Superfluidity of Ultracold Fermions in an Optical Lattice
• Ground state cooling of atoms in optical lattices
• Cooling toolbox for atoms in optical lattices

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• Zero-temperature phase transitions in dilute bosonic superfluids on a lattice