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On the low-energy description for tunnel-coupled one-dimensional Bose gases

2020/03/17 by Yuri D. van Nieuwkerk, Fabian H. L. Essler · 1 citation
Physics and Astronomy · #cond-mat.quant-gas #quant-ph

paper · pdf · doi:10.21468/scipostphys.9.2.025

published as SciPost Phys. 9, 025 (2020) · 27 pages, 12 figures

arxiv created 2020/03/17 · arxiv updated 2020/08/26

Abstract

We consider a model of two tunnel-coupled one-dimensional Bose gases with hard-wall boundary conditions. Bosonizing the model and retaining only the most relevant interactions leads to a decoupled theory consisting of a quantum sine-Gordon model and a free boson, describing respectively the antisymmetric and symmetric combinations of the phase fields. We go beyond this description by retaining the perturbation with the next smallest scaling dimension. This perturbation carries conformal spin and couples the two sectors. We carry out a detailed investigation of the effects of this coupling on the non-equilibrium dynamics of the model. We focus in particular on the role played by spatial inhomogeneities in the initial state in a quantum quench setup.

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