English

One-dimensional phase transitions in a two-dimensional optical lattice

Other Condensed Matter 2009-11-13 v1

Abstract

A phase transition for bosonic atoms in a two-dimensional anisotropic optical lattice is considered. If the tunnelling rates in two directions are different, the system can undergo a transition between a two-dimensional superfluid and a one-dimensional Mott insulating array of strongly coupled tubes. The connection to other lattice models is exploited in order to better understand the phase transition. Critical properties are obtained using quantum Monte Carlo calculations. These critical properties are related to correlation properties of the bosons and a criterion for commensurate filling is established.

Keywords

Cite

@article{arxiv.0805.0227,
  title  = {One-dimensional phase transitions in a two-dimensional optical lattice},
  author = {Magnus Rehn and Sara Bergkvist and Anders Rosengren and Robert Saers and Martin Zelán and Emil Lundh and Anders Kastberg},
  journal= {arXiv preprint arXiv:0805.0227},
  year   = {2009}
}

Comments

14 pages, 8 figures

R2 v1 2026-06-21T10:36:50.325Z