Test of variational approximation for $phi^4$ quantum chain by Monte Carlo simulation

Details Test of variational approximation for $phi^4$ quantum chain by Monte Carlo simulation Test of variational approximation for $phi^4$ quantum chain by Monte Carlo simulation

1994-12-05

arxiv.org/abs/cond-mat/9412025v1

Phys. Lett. A197 (1995) 335

Physics

Condensed Matter

12 pp. Latex + 3 figures as uuencoded compressed tar file, accepted for publication in Phys. Lett. A

Scientific paper

We report results of a Monte Carlo simulation of the $\phi^4$ 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.

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