Prethermalization in a nonintegrable quantum spin chain after a quench.

Phys Rev Lett

SISSA-International School for Advanced Studies, via Bonomea 265, I-34136 Trieste, Italy and INFN-Istituto Nazionale di Fisica Nucleare, Sezione di Trieste, via Bonomea 265, I-34136, Trieste, Italy.

Published: November 2013

We study the dynamics of a quantum Ising chain after the sudden introduction of a nonintegrable long-range interaction. Via an exact mapping onto a fully connected lattice of hard-core bosons, we show that a prethermal state emerges and we investigate its features by focusing on a class of physically relevant observables. In order to gain insight into the eventual thermalization, we outline a diagrammatic approach which complements the study of the previous quasistationary state and provides the basis for a self-consistent solution of the kinetic equation. This analysis suggests that both the temporal decay towards the prethermal state and the crossover to the eventual thermal one may occur algebraically.

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http://dx.doi.org/10.1103/PhysRevLett.111.197203DOI Listing

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