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

Physics – Condensed Matter – Statistical Mechanics

Scientific paper

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

Scientific paper

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.

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