Cluster Monte Carlo Algorithms for Dissipative Quantum Systems

Physics – Condensed Matter – Statistical Mechanics

Scientific paper

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to be publushed in Proceedings of the Yukawa Symposium 2004

Scientific paper

10.1143/PTPS.160.395

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.

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