English

One dimensional Bosons: From Condensed Matter Systems to Ultracold Gases

Strongly Correlated Electrons 2011-12-06 v1 Quantum Gases

Abstract

We review the physics of one-dimensional interacting bosonic systems. Beginning with results from exactly solvable models and computational approaches, we introduce the concept of bosonic Tomonaga-Luttinger Liquids relevant for one-dimension, and compare it with Bose-Einstein condensates existing in dimensions higher than one. We discuss the effects of various perturbations on the Tomonaga-Luttinger liquid state as well as extensions to multicomponent and out of equilibrium situations. Finally, we review the experimental systems that can be described in terms of models of interacting bosons in one dimension.

Keywords

Cite

@article{arxiv.1101.5337,
  title  = {One dimensional Bosons: From Condensed Matter Systems to Ultracold Gases},
  author = {M. A. Cazalilla and R. Citro and T. Giamarchi and E. Orignac and M. Rigol},
  journal= {arXiv preprint arXiv:1101.5337},
  year   = {2011}
}

Comments

RevTeX 4, 68 pages, 22 EPS figures, submitted to Rev. Mod. Phys