Systematic strong coupling expansion for out-of-equilibrium dynamics in the Lieb-Liniger model

Systematic strong coupling expansion for out-of-equilibrium dynamics in the Lieb-Liniger model

We consider the time evolution of local observables after an interaction quench in the repulsive Lieb-Liniger model. The system is initialized in the ground state for vanishing interaction and then time-evolved with the Lieb-Liniger Hamiltonian for large, finite interacting strength $c$. We empl...

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Main Author: Etienne Granet, Fabian H. L. Essler
Format: Article
Language:English
Published: SciPost 2021-09-01
Series:SciPost Physics
Online Access:https://scipost.org/SciPostPhys.11.3.068
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spelling doaj-6f5090ed1426479d9b9319a8b2b55df42021-09-27T11:42:58ZengSciPostSciPost Physics2542-46532021-09-0111306810.21468/SciPostPhys.11.3.068Systematic strong coupling expansion for out-of-equilibrium dynamics in the Lieb-Liniger modelEtienne Granet, Fabian H. L. EsslerWe consider the time evolution of local observables after an interaction quench in the repulsive Lieb-Liniger model. The system is initialized in the ground state for vanishing interaction and then time-evolved with the Lieb-Liniger Hamiltonian for large, finite interacting strength $c$. We employ the Quench Action approach to express the full time evolution of local observables in terms of sums over energy eigenstates and then derive the leading terms of a $1/c$ expansion for several one and two-point functions as a function of time $t>0$ after the quantum quench. We observe delicate cancellations of contributions to the spectral sums that depend on the details of the choice of representative state in the Quench Action approach and our final results are independent of this choice. Our results provide a highly non-trivial confirmation of the typicality assumptions underlying the Quench Action approach.https://scipost.org/SciPostPhys.11.3.068
collection DOAJ
language English
format Article
sources DOAJ
author Etienne Granet, Fabian H. L. Essler
spellingShingle Etienne Granet, Fabian H. L. Essler
Systematic strong coupling expansion for out-of-equilibrium dynamics in the Lieb-Liniger model
SciPost Physics
author_facet Etienne Granet, Fabian H. L. Essler
author_sort Etienne Granet, Fabian H. L. Essler
title Systematic strong coupling expansion for out-of-equilibrium dynamics in the Lieb-Liniger model
title_short Systematic strong coupling expansion for out-of-equilibrium dynamics in the Lieb-Liniger model
title_full Systematic strong coupling expansion for out-of-equilibrium dynamics in the Lieb-Liniger model
title_fullStr Systematic strong coupling expansion for out-of-equilibrium dynamics in the Lieb-Liniger model
title_full_unstemmed Systematic strong coupling expansion for out-of-equilibrium dynamics in the Lieb-Liniger model
title_sort systematic strong coupling expansion for out-of-equilibrium dynamics in the lieb-liniger model
publisher SciPost
series SciPost Physics
issn 2542-4653
publishDate 2021-09-01
description We consider the time evolution of local observables after an interaction quench in the repulsive Lieb-Liniger model. The system is initialized in the ground state for vanishing interaction and then time-evolved with the Lieb-Liniger Hamiltonian for large, finite interacting strength $c$. We employ the Quench Action approach to express the full time evolution of local observables in terms of sums over energy eigenstates and then derive the leading terms of a $1/c$ expansion for several one and two-point functions as a function of time $t>0$ after the quantum quench. We observe delicate cancellations of contributions to the spectral sums that depend on the details of the choice of representative state in the Quench Action approach and our final results are independent of this choice. Our results provide a highly non-trivial confirmation of the typicality assumptions underlying the Quench Action approach.
url https://scipost.org/SciPostPhys.11.3.068
work_keys_str_mv AT etiennegranetfabianhlessler systematicstrongcouplingexpansionforoutofequilibriumdynamicsinthelieblinigermodel
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