Quantum Monte Carlo study of quasi-one-dimensional Bose gases
Quantum Monte Carlo study of quasi-one-dimensional Bose gases
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.
S. Giorgini、G. E. Astrakharchik、B. E. Granger、D. Blume
物理学
S. Giorgini,G. E. Astrakharchik,B. E. Granger,D. Blume.Quantum Monte Carlo study of quasi-one-dimensional Bose gases[EB/OL].(2003-10-30)[2025-08-02].https://arxiv.org/abs/cond-mat/0310749.点此复制
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