The Quench Action

We give a pedagogical introduction to the methodology of the Quench Action, which is an effective representation for the calculation of time-dependent expectation values of physical operators following a generic out-of-equilibrium state preparation protocol (for example a quantum quench). The repres...

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Bibliographic Details
Published inJournal of statistical mechanics Vol. 2016; no. 6; pp. 64006 - 64049
Main Author Caux, Jean-Sébastien
Format Journal Article
LanguageEnglish
Published IOP Publishing and SISSA 27.06.2016
Subjects
integrable spin chains and vertex models
quantum quenches
Quench Action
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Summary:We give a pedagogical introduction to the methodology of the Quench Action, which is an effective representation for the calculation of time-dependent expectation values of physical operators following a generic out-of-equilibrium state preparation protocol (for example a quantum quench). The representation, originally introduced in Caux and Essler (2013 Phys. Rev. Lett. 110 257203), is founded on a mixture of exact data for overlaps together with variational reasonings. It is argued to be quite generally valid and thermodynamically exact for arbitrary times after the quench (from short times all the way up to the steady state), and applicable to a wide class of physically relevant observables. Here, we introduce the method and its language, give an overview of some recent results, suggest a roadmap and offer some perspectives on possible future research directions.
Bibliography:JSTAT_039P_0316
ISSN:1742-5468
1742-5468
DOI:10.1088/1742-5468/2016/06/064006