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A cluster algorithm for resistively shunted Josephson junctions

Philipp Werner·Matthias Troyer
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Abstract

We present a cluster algorithm for resistively shunted Josephson junctions and similar physical systems, which dramatically improves sampling efficiency. The algorithm combines local updates in Fourier space with rejection-free cluster updates which exploit the symmetries of the Josephson coupling energy. As an application, we consider the localization transition of a single junction at intermediate Josephson coupling and determine the temperature dependence of the zero bias resistance as a function of dissipation strength.

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Philipp Werner, Matthias Troyer. 2004-11-01. A cluster algorithm for resistively shunted Josephson junctions. https://doi.org/10.1103/physrevlett.95.060201

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