English

Relaxation Dynamics of Disordered Spin Chains: Localization and the Existence of a Stationary State

Disordered Systems and Neural Networks 2012-12-21 v3 Statistical Mechanics

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.

Keywords

Cite

@article{arxiv.1206.4787,
  title  = {Relaxation Dynamics of Disordered Spin Chains: Localization and the Existence of a Stationary State},
  author = {Simone Ziraldo and Alessandro Silva and Giuseppe E. Santoro},
  journal= {arXiv preprint arXiv:1206.4787},
  year   = {2012}
}

Comments

5 pages, 3 figures