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Original publication:

Title: Time Evolution of Local Observables After Quenching to an Integrable Model
Author(s): Jean-S├ębastien Caux and Fabian H. L. Essler
As Contributors: Jean-S├ębastien Caux · Fabian Essler
Journal ref.: Phys. Rev. Lett. 110, 257203
Date: 2013-06-18


We consider quantum quenches in integrable models. We argue that the behavior 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.

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