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Bosons in optical lattices - from the Mott transition to the Tonks-Girardeau gas | S. Wessel
; F. Alet
; S. Trebst
; D. Leumann
; M. Troyer
; G. George Batrouni
; | Date: |
18 Nov 2004 | Journal: | J. Phys. Soc. Jpn. Suppl. 74, 10 (2005). | Subject: | Statistical Mechanics | cond-mat.stat-mech | 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. | Source: | arXiv, cond-mat/0411473 | Services: | Forum | Review | PDF | Favorites |
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