English

Quantum Monte Carlo study of quasi-one-dimensional Bose gases

Condensed Matter 2009-11-10 v1

Abstract

We study the behavior of quasi-one-dimensional (quasi-1d) Bose gases by Monte Carlo techniques, i.e., by the variational Monte Carlo, the diffusion Monte Carlo, and the fixed-node diffusion Monte Carlo technique. Our calculations confirm and extend our results of an earlier study [Astrakharchik et al., cond-mat/0308585]. We find that a quasi-1d Bose gas i) is well described by a 1d model Hamiltonian with contact interactions and renormalized coupling constant; ii) reaches the Tonks-Girardeau regime for a critical value of the 3d scattering length a_3d; iii) enters a unitary regime for |a_3d| -> infinity, where the properties of the gas are independent of a_3d and are similar to those of a 1d gas of hard-rods; and iv) becomes unstable against cluster formation for a critical value of the 1d gas parameter. The accuracy and implications of our results are discussed in detail.

Keywords

Cite

@article{arxiv.cond-mat/0310749,
  title  = {Quantum Monte Carlo study of quasi-one-dimensional Bose gases},
  author = {G. E. Astrakharchik and D. Blume and S. Giorgini and B. E. Granger},
  journal= {arXiv preprint arXiv:cond-mat/0310749},
  year   = {2009}
}

Comments

15 pages, 9 figures