Mapping of Coulomb gases and sine-Gordon models to statistics of random surfaces

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.

final published version

References in corpus (5)

• Matter-wave interferometry in a double well on an atom chip
• Bosonizing one-dimensional cold atomic gases
• Radio-frequency dressed state potentials for neutral atoms
• Global fluctuations and Gumbel statistics
• Shot noise of interference between independent atomic systems

Cited by in corpus (10)

• The dynamics and prethermalization of one dimensional quantum systems probed through the full distributions of quantum noise
• Non-perturbative stochastic method for driven spin-boson model
• Full counting statistics in the spin-1/2 Heisenberg XXZ chain
• New family of sine-Gordon models
• Full counting statistics of the interference contrast from independent Bose-Einstein condensates
• Hamiltonian Learning in Quantum Field Theories
• Density ripples in expanding low-dimensional gases as a probe of correlations
• Interferometry with Atoms
• Sine-Gordon model at finite temperature: the method of random surfaces
• Exceptional Luttinger Liquids from sublattice dependent interaction