Prethermalization in a Nonintegrable Quantum Spin Chain after a Quench

Matteo Marcuzzi, Jamir Marino, Andrea Gambassi, and Alessandro Silva
Phys. Rev. Lett. 111, 197203 – Published 6 November 2013

Abstract

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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  • Received 22 July 2013

DOI:https://doi.org/10.1103/PhysRevLett.111.197203

© 2013 American Physical Society

Authors & Affiliations

Matteo Marcuzzi1,2, Jamir Marino1,2, Andrea Gambassi1,2, and Alessandro Silva1,3

  • 1SISSA–International School for Advanced Studies, via Bonomea 265, I-34136 Trieste, Italy
  • 2INFN–Istituto Nazionale di Fisica Nucleare, Sezione di Trieste, via Bonomea 265, I-34136, Trieste, Italy
  • 3ICTP–International Centre for Theoretical Physics, P.O. Box 586, I-34014 Trieste, Italy

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Issue

Vol. 111, Iss. 19 — 8 November 2013

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