Dynamical Singularities of Glassy Systems in a Quantum Quench
Statistical Mechanics
2012-12-14 v2 Disordered Systems and Neural Networks
Quantum Physics
Abstract
We present a prototype of behavior of glassy systems driven by quantum dynamics in a quenching protocol by analyzing the random energy model in a transverse field. We calculate several types of dynamical quantum amplitude and find a freezing transition at some critical time. The behavior is understood by the partition-function zeros in the complex temperature plane. We discuss the properties of the freezing phase as a dynamical chaotic phase, which are contrasted to those of the spin-glass phase in the static system.
Cite
@article{arxiv.1208.2800,
title = {Dynamical Singularities of Glassy Systems in a Quantum Quench},
author = {Tomoyuki Obuchi and Kazutaka Takahashi},
journal= {arXiv preprint arXiv:1208.2800},
year = {2012}
}
Comments
6 pages, 5 figures