Relaxation timescales and prethermalisation in d-dimensional long-range quantum spin models
Statistical Mechanics
2015-10-22 v2 Quantum Physics
Abstract
We report analytic results for the correlation functions of long-range quantum Ising models in arbitrary dimension. In particular, we focus on the long-time evolution and the relevant timescales on which correlations relax to their equilibrium values. By deriving upper bounds on the correlation functions in the large-system limit, we prove that a wide separation of timescales, accompanied by a pronounced prethermalisation plateau, occurs for sufficiently long-ranged interactions.
Cite
@article{arxiv.1403.4187,
title = {Relaxation timescales and prethermalisation in d-dimensional long-range quantum spin models},
author = {Michael Kastner and Mauritz van den Worm},
journal= {arXiv preprint arXiv:1403.4187},
year = {2015}
}
Comments
6 pages, 4 figures