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One-dimensional Bose gas in optical lattices of arbitrary strength

Quantum Gases 2016-02-17 v2

Abstract

One-dimensional Bose gas with contact interaction in optical lattices at zero temperature is investigated by means of the exact diffusion Monte Carlo algorithm. The results obtained from the fundamental continuous model are compared with those obtained from the lattice (discrete) Bose-Hubbard model, using exact diagonalization, and from the quantum sine-Gordon model. We map out the complete phase diagram of the continuous model and determine the regions of applicability of the Bose-Hubbard model. Various physical quantities characterizing the systems are calculated and it is demonstrated that the sine-Gordon model used for shallow lattices is inaccurate.

Keywords

Cite

@article{arxiv.1509.01424,
  title  = {One-dimensional Bose gas in optical lattices of arbitrary strength},
  author = {Grigory E. Astrakharchik and Konstantin V. Krutitsky and Maciej Lewenstein and Ferran Mazzanti},
  journal= {arXiv preprint arXiv:1509.01424},
  year   = {2016}
}

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