The sine-Gordon model from coupled condensates: a Generalized Hydrodynamics viewpoint

Fuente: arXiv
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Autore principale: Bastianello, Alvise
Natura: Preprint
Pubblicazione: 2023
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author Bastianello, Alvise
author_facet Bastianello, Alvise
contents The sine-Gordon model captures the low-energy effective dynamics of a wealth of one-dimensional quantum systems, stimulating the experimental efforts in building a versatile quantum simulator of this field theory and fueling the parallel development of new theoretical toolkits able to capture far-from-equilibrium settings. In this work, we analyze the realization of sine-Gordon from the interference pattern of two one-dimensional quasicondensates: we argue the emergent field theory is well described by its classical limit and develop its large-scale description based on Generalized Hydrodynamics. We show how, despite sine-Gordon being an integrable field theory, trap-induced inhomogeneities cause instabilities of excitations and provide exact analytical results to capture this effect.
format Preprint
id arxiv_https___arxiv_org_abs_2310_04493
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle The sine-Gordon model from coupled condensates: a Generalized Hydrodynamics viewpoint
Bastianello, Alvise
Statistical Mechanics
Quantum Gases
Exactly Solvable and Integrable Systems
Quantum Physics
The sine-Gordon model captures the low-energy effective dynamics of a wealth of one-dimensional quantum systems, stimulating the experimental efforts in building a versatile quantum simulator of this field theory and fueling the parallel development of new theoretical toolkits able to capture far-from-equilibrium settings. In this work, we analyze the realization of sine-Gordon from the interference pattern of two one-dimensional quasicondensates: we argue the emergent field theory is well described by its classical limit and develop its large-scale description based on Generalized Hydrodynamics. We show how, despite sine-Gordon being an integrable field theory, trap-induced inhomogeneities cause instabilities of excitations and provide exact analytical results to capture this effect.
title The sine-Gordon model from coupled condensates: a Generalized Hydrodynamics viewpoint
topic Statistical Mechanics
Quantum Gases
Exactly Solvable and Integrable Systems
Quantum Physics
url https://arxiv.org/abs/2310.04493