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Relaxation dynamics of disordered spin chains: localization and the existence of a stationary state

Ziraldo, Simone
•
Silva, Alessandro
•
Santoro, Giuseppe Ernesto
2012
  • journal article

Periodico
PHYSICAL REVIEW LETTERS
Abstract
We study the unitary relaxation dynamics of disordered spin chains following a sudden quench of the Hamiltonian. We give analytical arguments, corroborated by specific numerical examples, to show that the existence of a stationary state depends crucially on the spectral and localization properties of the final Hamiltonian, and not on the initial state. We test these ideas on integrable one-dimensional models of the Ising or XY class, but argue more generally on their validity for more complex (nonintegrable) models.
DOI
10.1103/PhysRevLett.109.247205
WOS
WOS:000312299400020
Archivio
http://hdl.handle.net/20.500.11767/12561
info:eu-repo/semantics/altIdentifier/scopus/2-s2.0-84870882411
https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.109.247205
https://arxiv.org/abs/1206.4787
Diritti
closed access
Soggetti
  • ergodic theorem

  • h-theorem

  • mechanic

  • system

  • physic

  • gase

  • proof

  • Settore FIS/03 - Fisi...

Scopus© citazioni
34
Data di acquisizione
Jun 7, 2022
Vedi dettagli
Web of Science© citazioni
35
Data di acquisizione
Mar 27, 2024
Visualizzazioni
2
Data di acquisizione
Apr 19, 2024
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