Auxiliary-field Monte Carlo for Quantum Spin and Boson Systems
Disordered Systems and Neural Networks
2009-10-31 v1 Statistical Mechanics
Abstract
We describe a new algorithm for the numerical simulation of quantum spin and boson systems. The method is based on the Trotter decomposition in imaginary time and a decoupling by auxiliary Ising spins. It can be applied, in principle, to arbitrary (random) spin systems, however in general it suffers from the ``minus-sign problem''. This problem is absent in the case of the Ising model in a transverse field in arbitrary dimensions and geometries. We show test results for the spin--1/2 XY model, the one--dimensional transverse Ising model with disorder, and the phase transition induced by a transverse field in the two-dimensional Ising model.
Keywords
Cite
@article{arxiv.cond-mat/9905247,
title = {Auxiliary-field Monte Carlo for Quantum Spin and Boson Systems},
author = {M. Ulmke and R. T. Scalettar},
journal= {arXiv preprint arXiv:cond-mat/9905247},
year = {2009}
}
Comments
7 pages, 4 figures