SciPost Commentary Page
|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|
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.