TY - CHAP
T1 - Collisions, correlations, and integrability in atom waveguides
AU - Yurovsky, Vladimir A.
AU - Olshanii, Maxim
AU - Weiss, David S.
N1 - Funding Information:
The authors are very grateful to Doerte Blume, Brian Granger, Yvan Castin, and Lev Pitaevskii for helpful discussion. DSW acknowledges support from the National Science Foundation and the US Army Research Office. MO acknowledges support from the Office of Naval Research (grant No. N00014-03-1-0427), the National Science Foundation (grants No. NSF-PHY-0301052, No. NSF-DMR-0240918, No. NSF-DMR-0312261, and the Institute for Theoretical Atomic and Molecular Physics at Harvard University and Smithsonian Astrophysical Observatory).
PY - 2008
Y1 - 2008
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=49749106314&partnerID=8YFLogxK
U2 - 10.1016/S1049-250X(07)55002-0
DO - 10.1016/S1049-250X(07)55002-0
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AN - SCOPUS:49749106314
SN - 9780123737106
T3 - Advances in Atomic, Molecular and Optical Physics
SP - 61
EP - 138
BT - Advances in Atomic, Molecular and Optical Physics
A2 - Arimondo, Ennio
A2 - Berman, Paul
A2 - Lin, Chun
ER -