Relaxation timescales and decay of correlations in a long-range interacting quantum simulator
Date
2013
Journal Title
Journal ISSN
Volume Title
Publisher
IOP
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 a recently developed ion-trap-based quantum simulator.
Description
CITATION: Van den Worm, M. et al. 2013. Relaxation timescales and decay of correlations in a long-range interacting quantum simulator. New Journal of Physics, 15:083007, doi:10.1088/1367-2630/15/8/083007.
The original publication is available at http://iopscience.iop.org
The original publication is available at http://iopscience.iop.org
Keywords
Ising model
Citation
Van den Worm, M. et al. 2013. Relaxation timescales and decay of correlations in a long-range interacting quantum simulator. New Journal of Physics, 15:083007, doi:10.1088/1367-2630/15/8/083007.