Nonadiabatic stationary behaviour in a driven low-dimensional gapped system
Statistical Mechanics
2014-09-25 v2
Abstract
We discuss the emergence of nonadiabatic behavior in the dynamics of the order parameter in a low-dimensional quantum many-body system subject to a linear ramp of one of its parameters. While performing a ramp within a gapped phase seems to be the most favorable situation for adiabaticity, we show that such a change leads eventually to the disruption of the order, no matter how slowly the ramp is performed. We show this in detail by studying the dynamics of the one-dimensional quantum Ising model subject to linear variation of the transverse magnetic field within the ferromagnetic phase, and then propose a general argument applicable to other systems.
Keywords
Cite
@article{arxiv.1402.2789,
title = {Nonadiabatic stationary behaviour in a driven low-dimensional gapped system},
author = {Anna Maraga and Pietro Smacchia and Michele Fabrizio and Alessandro Silva},
journal= {arXiv preprint arXiv:1402.2789},
year = {2014}
}
Comments
5 pages, 3 figures