Test of variational approximation for $phi^4$ quantum chain by Monte Carlo simulation
Condensed Matter
2015-06-25 v1 High Energy Physics - Lattice
Abstract
We report results of a Monte Carlo simulation of the quantum chain. In order to enhance the efficiency of the simulation we combine multigrid simulation techniques with a refined discretization scheme. The resulting accuracy of our data allows for a significant test of an analytical approximation based on a variational ansatz. While the variational approximation is well reproduced for a large range of parameters we find significant deviations for low temperatures and large couplings.
Cite
@article{arxiv.cond-mat/9412025,
title = {Test of variational approximation for $phi^4$ quantum chain by Monte Carlo simulation},
author = {Wolfhard Janke and Tilman Sauer},
journal= {arXiv preprint arXiv:cond-mat/9412025},
year = {2015}
}
Comments
12 pp. Latex + 3 figures as uuencoded compressed tar file, accepted for publication in Phys. Lett. A