{ "id": "1301.3806", "version": "v1", "published": "2013-01-16T20:02:28.000Z", "updated": "2013-01-16T20:02:28.000Z", "title": "Time evolution of local observables after quenching to an integrable model", "authors": [ "Jean-Sebastien Caux", "Fabian H. L. Essler" ], "comment": "7 pages", "journal": "Phys. Rev. Lett. 110, 257203 (2013)", "doi": "10.1103/PhysRevLett.110.257203", "categories": [ "cond-mat.stat-mech", "quant-ph" ], "abstract": "We consider quantum quenches in integrable models. We argue that the behaviour of local observables at late times after the quench is given by their expectation values with respect to a single representative Hamiltonian eigenstate. This can be viewed as a generalization of the eigenstate thermalization hypothesis to quantum integrable models. We present a method for constructing this representative state by means of a generalized Thermodynamic Bethe Ansatz (GTBA). Going further, we introduce a framework for calculating the time dependence of local observables as they evolve towards their stationary values. As an explicit example we consider quantum quenches in the transverse-field Ising chain and show that previously derived results are recovered efficiently within our framework.", "revisions": [ { "version": "v1", "updated": "2013-01-16T20:02:28.000Z" } ], "analyses": { "subjects": [ "05.70.Ln", "03.75.Kk", "02.30.Ik", "75.10.Jm" ], "keywords": [ "local observables", "time evolution", "quantum quenches", "single representative hamiltonian eigenstate", "eigenstate thermalization hypothesis" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Physical Review Letters", "year": 2013, "month": "Jun", "volume": 110, "number": 25, "pages": 257203 }, "note": { "typesetting": "TeX", "pages": 7, "language": "en", "license": "arXiv", "status": "editable", "inspire": 1211279, "adsabs": "2013PhRvL.110y7203C" } } }