English

Long Cycles in the Infinite-Range-Hopping Bose-Hubbard Model with Hard Cores

Statistical Mechanics 2009-11-13 v1

Abstract

In this paper we study the relation between long cycles and Bose-Condensation in the Infinite range Bose-Hubbard Model with a hard core interaction. We calculate the density of particles on long cycles in the thermodynamic limit and find that the existence of a non-zero long cycle density coincides with the occurrence of Bose-Einstein condensation but this density is not equal to that of the Bose condensate.

Keywords

Cite

@article{arxiv.0806.0791,
  title  = {Long Cycles in the Infinite-Range-Hopping Bose-Hubbard Model with Hard Cores},
  author = {G. Boland and J. V. Pulé},
  journal= {arXiv preprint arXiv:0806.0791},
  year   = {2009}
}

Comments

26 pages, 2 figures. To appear in JSP

R2 v1 2026-06-21T10:47:29.490Z