Mapping of Coulomb gases and sine-Gordon models to statistics of random surfaces
- 10 June 2008
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 77 (6), 063606
- https://doi.org/10.1103/physreva.77.063606
Abstract
We introduce a new class of sine-Gordon models, for which the interaction term is present in a region different from the domain over which the quadratic part is defined. We develop a nonperturbative 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 one-dimensional and two-dimensional gases with nonzero temperatures.Keywords
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This publication has 27 references indexed in Scilit:
- Superconductor-to-normal transitions in dissipative chains of mesoscopic grains and nanowiresPhysical Review B, 2007
- Radiofrequency-dressed-state potentials for neutral atomsNature Physics, 2006
- Matter-wave interferometry in a double well on an atom chipNature Physics, 2005
- Coulomb drag between quantum wiresPhysical Review B, 2000
- Exact solution of a massless scalar field with a relevant boundary interactionNuclear Physics B, 1994
- Transmission through barriers and resonant tunneling in an interacting one-dimensional electron gasPhysical Review B, 1992
- Diffusion and Localization in a Dissipative Quantum SystemPhysical Review Letters, 1983
- Quantum Fluctuations in the Tunneling between SuperconductorsPhysical Review Letters, 1982
- Renormalization Group Equation for Critical PhenomenaPhysical Review A, 1973
- Ordering, metastability and phase transitions in two-dimensional systemsJournal of Physics C: Solid State Physics, 1973