One dimensional bosons: From condensed matter systems to ultracold gases

M. A. Cazalilla, R. Citro, T. Giamarchi, E. Orignac, M. Rigol

Research output: Contribution to journalArticle

570 Scopus citations

Abstract

The physics of one-dimensional interacting bosonic systems is reviewed. Beginning with results from exactly solvable models and computational approaches, the concept of bosonic Tomonaga-Luttinger liquids relevant for one-dimensional Bose fluids is introduced, and compared with Bose-Einstein condensates existing in dimensions higher than one. The effects of various perturbations on the Tomonaga-Luttinger liquid state are discussed as well as extensions to multicomponent and out of equilibrium situations. Finally, the experimental systems that can be described in terms of models of interacting bosons in one dimension are discussed.

Original languageEnglish (US)
Pages (from-to)1405-1466
Number of pages62
JournalReviews of Modern Physics
Volume83
Issue number4
DOIs
StatePublished - Dec 1 2011

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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