Quantum quench in the sine-Gordon model

Bruno Bertini; Dirk Schuricht; Fabian H L Essler

doi:10.1088/1742-5468/2014/10/P10035

Quantum quench in the sine-Gordon model

Bruno Bertini^*, Dirk Schuricht, Fabian H L Essler

^*Corresponding author for this work

University of Oxford

Research output: Contribution to journal › Article › Academic › peer-review

Abstract

We consider the time evolution in the repulsive sine-Gordon quantum field theory after the system is prepared in a particular class of initial states. We focus on the time dependence of the one-point function of the semi-local operator exp(iβΦ(x)/2). By using two different methods based on form-factor expansions, we show that this expectation value decays to zero exponentially and we determine the decay rate by analytical means. Our methods generalize to other correlation functions and integrable models.

Original language	English
Article number	P10035
Journal	Journal of Statistical Mechanics: Theory and Experiment
Volume	2014
Issue number	10
DOIs	https://doi.org/10.1088/1742-5468/2014/10/P10035
Publication status	Published - 1 Oct 2014

Keywords

Correlation functions
Form factors
Integrable quantum field theory
Quantum quenches

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10.1088/1742-5468/2014/10/P10035

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AB - We consider the time evolution in the repulsive sine-Gordon quantum field theory after the system is prepared in a particular class of initial states. We focus on the time dependence of the one-point function of the semi-local operator exp(iβΦ(x)/2). By using two different methods based on form-factor expansions, we show that this expectation value decays to zero exponentially and we determine the decay rate by analytical means. Our methods generalize to other correlation functions and integrable models.

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KW - Form factors

KW - Integrable quantum field theory

KW - Quantum quenches

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Quantum quench in the sine-Gordon model

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Keywords

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