One dimensional Bosons: From Condensed Matter Systems to Ultracold Gases

2011/01/27 by M. A. Cazalilla, R. Citro, T. Giamarchi +2 · 3 citations
Physics and Astronomy · #cond-mat.str-el #cond-mat.quant-gas

paper · pdf · doi:10.1103/revmodphys.83.1405

published as Rev. Mod. Phys. 83, 1405-1466 (2011) · RevTeX 4, 68 pages, 22 EPS figures, submitted to Rev. Mod. Phys

arxiv created 2011/01/27 · arxiv updated 2011/12/06

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.

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