English

One-particle dynamical correlations in the one-dimensional Bose gas

Statistical Mechanics 2011-02-16 v1 High Energy Physics - Theory

Abstract

The momentum- and frequency-dependent one-body correlation function of the one-dimensional interacting Bose gas (Lieb-Liniger model) in the repulsive regime is studied using the Algebraic Bethe Ansatz and numerics. We first provide a determinant representation for the field form factor which is well-adapted to numerical evaluation. The correlation function is then reconstructed to high accuracy for systems with finite but large numbers of particles, for a wide range of values of the interaction parameter. Our results are extensively discussed, in particular their specialization to the static case.

Keywords

Cite

@article{arxiv.cond-mat/0611321,
  title  = {One-particle dynamical correlations in the one-dimensional Bose gas},
  author = {Jean-Sebastien Caux and Pasquale Calabrese and Nikita A. Slavnov},
  journal= {arXiv preprint arXiv:cond-mat/0611321},
  year   = {2011}
}

Comments

19 Pages, 7 figures