Cluster Monte Carlo Algorithms for Dissipative Quantum Systems
Philipp Werner, Matthias Troyer
TL;DR
This paper reviews advanced Monte Carlo algorithms tailored for simulating dissipative quantum systems, focusing on cluster methods and their application to models like quantum spins and Josephson junctions.
Contribution
It introduces and discusses efficient cluster Monte Carlo algorithms specifically designed for dissipative quantum systems, including treatment of long-range interactions.
Findings
Effective algorithms for dissipative quantum spins
Simulation of resistively shunted Josephson junctions
Handling of long-range interactions in Monte Carlo methods
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.
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