One dimensional bosons: From condensed matter systems to ultracold gases

M. A. Cazalilla, R. Citro, T. Giamarchi, E. Orignac, and M. Rigol
Rev. Mod. Phys. 83, 1405 – Published 1 December 2011

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.

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  • Received 18 October 2010

DOI:https://doi.org/10.1103/RevModPhys.83.1405

© 2011 American Physical Society

Authors & Affiliations

M. A. Cazalilla

  • Centro de Fisica de Materiales, Paseo Manuel de Lardizabal, 5. E-20018 San Sebastian, Spain and Donostia International Physics Center, Paseo Manuel de Lardizabal, 4. E-20018 San Sebastian, Spain

R. Citro

  • Dipartimento di Fisica “E. R. Caianiello,” Università di Salerno, and Spin-CNR, Via Ponte don Melillo, I-84084 Fisciano (Sa), Italy

T. Giamarchi

  • DPMC-MaNEP, University of Geneva, CH1211 Geneva, Switzerland

E. Orignac

  • Laboratoire de Physique, CNRS UMR5672 and École Normale Supérieure de Lyon, F-69364 Lyon Cedex 7, France

M. Rigol

  • Department of Physics, Georgetown University, Washington, D.C. 20057, USA

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Issue

Vol. 83, Iss. 4 — October - December 2011

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