Cluster Monte Carlo Algorithms for Dissipative Quantum Systems
Statistical Mechanics
2009-11-11 v1 Mesoscale and Nanoscale Physics
Superconductivity
Abstract
We review efficient Monte Carlo methods for simulating quantum systems which couple to a dissipative environment. A brief introduction of the Caldeira-Leggett model and the Monte Carlo method will be followed by a detailed discussion of cluster algorithms and the treatment of long-range interactions. Dissipative quantum spins and resistively shunted Josephson junctions will be considered.
Cite
@article{arxiv.cond-mat/0508165,
title = {Cluster Monte Carlo Algorithms for Dissipative Quantum Systems},
author = {Philipp Werner and Matthias Troyer},
journal= {arXiv preprint arXiv:cond-mat/0508165},
year = {2009}
}
Comments
to be publushed in Proceedings of the Yukawa Symposium 2004