Journal Articles Journal of the Physical Society of Japan Suppl. Year : 2005

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

S. Wessel
  • Function : Author
Fabien Alet
S. Trebst
  • Function : Author
D. Leumann
  • Function : Author
G. George Batrouni
  • Function : Author

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.

Dates and versions

hal-00009289 , version 1 (30-09-2005)

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S. Wessel, Fabien Alet, S. Trebst, D. Leumann, M. Troyer, et al.. Bosons in optical lattices - from the Mott transition to the Tonks-Girardeau gas. Journal of the Physical Society of Japan Suppl., 2005, 74, pp.10. ⟨hal-00009289⟩
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