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