articleJournal of Statistical Mechanics Theory and ExperimentJun 1, 2016GREEN OA

Quench dynamics and relaxation in isolated integrable quantum spin chains

FHFabian H. L. EßlerMFMaurizio Fagotti

University of Oxford · Centre National de la Recherche Scientifique · +2 more institutions

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Abstract

Abstract We review the dynamics after quantum quenches in integrable quantum spin chains. We give a pedagogical introduction to relaxation in isolated quantum systems, and discuss the description of the steady state by (generalized) Gibbs ensembles. We then turn to general features in the time evolution of local observables after the quench, using a simple model of free fermions as an example. In the second part we present an overview of recent progress in describing quench dynamics in two key paradigms for quantum integrable models, the transverse field Ising chain and the anisotropic spin-1/2 Heisenberg chain.

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2

Topics & keywords

Topics
Keywords
  • Integrable system
  • Quantum
  • Physics
  • Fermion
  • Ising model
  • Observable
  • Relaxation (psychology)
  • Spin (aerodynamics)
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