Collisions, correlations, and integrability in atom waveguides

Vladimir A. Yurovsky, Maxim Olshanii, David S. Weiss

Research output: Chapter in Book/Report/Conference proceedingChapter

86 Scopus citations

Abstract

Elongated atom traps can confine ultracold gases in the quasi-one-dimensional regime. We review both the theory of these atom waveguides and their experimental realizations, with emphasis on the collisions of waveguide-bound particles. Under certain conditions, quasi-one-dimensional gases are well described by integrable one-dimensional many-body models with exact quantum solutions. We review the thermodynamic and correlation properties of one such model that has been experimentally realized, that of Lieb and Liniger. We describe the necessary criteria for integrability and its observable effects. We also consider ways to lift integrability, along with some observable effects of non-integrability.

Original languageEnglish (US)
Title of host publicationAdvances in Atomic, Molecular and Optical Physics
EditorsEnnio Arimondo, Paul Berman, Chun Lin
Pages61-138
Number of pages78
DOIs
StatePublished - Nov 5 2008

Publication series

NameAdvances in Atomic, Molecular and Optical Physics
Volume55
ISSN (Print)1049-250X

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Electronic, Optical and Magnetic Materials

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