Relaxation timescales and decay of correlations in a long-range interacting quantum simulator
Abstract
We study the time evolution of correlation functions in long-range interacting quantum Ising models. For a large class of initial conditions, exact analytic results are obtained in arbitrary lattice dimension, both for ferromagnetic and antiferromagnetic coupling, and hence also in the presence of geometric frustration. In contrast to the nearest-neighbour case, we find that correlations decay like stretched or compressed exponentials in time. Provided the long-range character of the interactions is sufficiently strong, pronounced prethermalization plateaus are observed and relaxation timescales are widely separated. Specializing to a triangular lattice in two spatial dimensions, we propose to utilize these results for benchmarking of a recently developed ion-trap based quantum simulator.
Keywords
Cite
@article{arxiv.1209.3697,
title = {Relaxation timescales and decay of correlations in a long-range interacting quantum simulator},
author = {Mauritz van den Worm and Brian C. Sawyer and John J. Bollinger and Michael Kastner},
journal= {arXiv preprint arXiv:1209.3697},
year = {2013}
}
Comments
19 pages, 6 figures; v2: one section removed, appendices added; v3: upper bound corrected + minor corrections; v4: as published