Mapping of Coulomb Gases and Sine-Gordon Models to Statistics of Random Surfaces

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Mapping of Coulomb Gases and Sine-Gordon Models to Statistics of Random Surfaces

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Title: Mapping of Coulomb Gases and Sine-Gordon Models to Statistics of Random Surfaces
Author: Imambekov, Adilet; Gritsev, Vladimir; Demler, Eugene A.

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Citation: Imambekov, Adilet, Vladimir Gritsev, and Eugene Demler. 2008. Mapping of Coulomb gases and sine-Gordon models to statistics of random surfaces. Physical Review A 77: 063606.
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Abstract: We introduce a new class of sine-Gordon models, for which interaction term is present in a region different from the domain over which quadratic part is defined. We develop a novel non-perturbative approach for calculating partition functions of such models, which relies on mapping them to statistical properties of random surfaces. As a specific application of our method, we consider the problem of calculating the amplitude of interference fringes in experiments with two independent low dimensional Bose gases. We calculate full distribution functions of interference amplitude for 1D and 2D gases with nonzero temperatures.
Published Version: doi://10.1103/PhysRevA.77.063606
Other Sources: http://arxiv.org/abs/cond-mat/0612011
Terms of Use: This article is made available under the terms and conditions applicable to Open Access Policy Articles, as set forth at http://nrs.harvard.edu/urn-3:HUL.InstRepos:dash.current.terms-of-use#OAP
Citable link to this page: http://nrs.harvard.edu/urn-3:HUL.InstRepos:13421140
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