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 (12)

• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
• Controlling Spin Exchange Interactions of Ultracold Atoms in Optical Lattices
• Counterflow Superfluidity of Two-Species Ultracold Atoms in a Commensurate Optical Lattice
• Exact, Complete, and Universal Continuous-Time Worldline Monte Carlo Approach to the Statistics of Discrete Quantum Systems
• Evidence for Superfluidity of Ultracold Fermions in an Optical Lattice
• Phase diagram of two-component bosons on an optical lattice
• Critical Point of a Weakly Interacting Two-Dimensional Bose Gas
• Dynamics and Thermodynamics of the Bose-Hubbard model
• Defect-Suppressed Atomic Crystals in an Optical Lattice
• Ground state cooling of atoms in optical lattices
• Cooling toolbox for atoms in optical lattices

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