Collisions, correlations, and integrability in atom waveguides

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

doi:10.1016/S1049-250X(07)55002-0

Collisions, correlations, and integrability in atom waveguides

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

Research output: Chapter in Book/Report/Conference proceeding › Chapter

76 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 language	English (US)
Title of host publication	Advances in Atomic, Molecular and Optical Physics
Editors	Ennio Arimondo, Paul Berman, Chun Lin
Pages	61-138
Number of pages	78
DOIs	https://doi.org/10.1016/S1049-250X(07)55002-0
Publication status	Published - Nov 5 2008

Publication series

Name	Advances in Atomic, Molecular and Optical Physics
Volume	55
ISSN (Print)	1049-250X

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All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Electronic, Optical and Magnetic Materials

Cite this

Yurovsky, V. A., Olshanii, M., & Weiss, D. S. (2008). Collisions, correlations, and integrability in atom waveguides. In E. Arimondo, P. Berman, & C. Lin (Eds.), Advances in Atomic, Molecular and Optical Physics (pp. 61-138). (Advances in Atomic, Molecular and Optical Physics; Vol. 55). https://doi.org/10.1016/S1049-250X(07)55002-0

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Access to Document

10.1016/S1049-250X(07)55002-0