English

Finite-size effects from higher conservation laws for the one-dimensional Bose gas

Statistical Mechanics 2013-05-23 v3 Quantum Gases

Abstract

We consider a generalized Lieb-Liniger model, describing a one-dimensional Bose gas with all its conservation laws appearing in the density matrix. This will be the case for the generalized Gibbs ensemble, or when the conserved charges are added to the Hamiltonian. The finite-size corrections are calculated for the energy spectrum. Large-distance asymptotics of correlation functions are then determined using methods from conformal field theory.

Keywords

Cite

@article{arxiv.1302.3182,
  title  = {Finite-size effects from higher conservation laws for the one-dimensional Bose gas},
  author = {Erik Eriksson and Vladimir Korepin},
  journal= {arXiv preprint arXiv:1302.3182},
  year   = {2013}
}

Comments

10 pages, no figures. Published version