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Original publication:
| Title: | Time Evolution of Local Observables After Quenching to an Integrable Model |
| Author(s): | Jean-Sébastien Caux and Fabian H. L. Essler |
| As Contributors: | Jean-Sébastien Caux · Fabian Essler |
| Journal ref.: | Phys. Rev. Lett. 110, 257203 |
| DOI: | http://dx.doi.org/10.1103/PhysRevLett.110.257203 |
| Date: | 2013-06-18 |
Abstract:
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.