Bosons in optical lattices - from the Mott transition to the Tonks-Girardeau gas

Abstract

We present results from quantum Monte Carlo simulations of trapped bosons in optical lattices, focusing on the crossover from a gas of softcore bosons to a Tonks-Girardeau gas in a one-dimensional optical lattice. We find that depending on the quantity being measured, the behavior found in the Tonks-Girardeau regime is observed already at relatively small values of the interaction strength. A finite critical value for entering the Tonks-Girardeau regime does not exist. Furthermore, we discuss the computational efficiency of two quantum Monte Carlo methods to simulate large scale trapped bosonic systems: directed loops in stochastic series expansions and the worm algorithm.

arXiv comment7 pages with 9 figures;v2: improved discussion on Tonks-Girardeau gas

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Cited by in corpus (11)

• Many-Body Physics with Ultracold Gases
• One dimensional Bosons: From Condensed Matter Systems to Ultracold Gases
• The ALPS project release 1.3: open source software for strongly correlated systems
• Interacting Bose gases in quasi-one dimensional optical lattices
• Engineering Local optimality in Quantum Monte Carlo algorithms
• Temperature changes when adiabatically ramping up an optical lattice
• Dynamical Mean Field Theory for the Bose-Hubbard Model
• Simulations of ultracold bosonic atoms in optical lattices with anharmonic traps
• Variational Monte Carlo analysis of the Hubbard model with a confining potential: one-dimensional fermionic optical lattice systems
• Thermodynamics of Adiabatically Loaded Cold Bosons in the Mott Insulating Phase of One-Dimensional Optical Lattices
• A quantum Monte Carlo algorithm for Bose-Hubbard models on arbitrary graphs