A cluster algorithm for resistively shunted Josephson junctions

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.

4 pages

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Cited by in corpus (29)

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• Appearance of ferroelectricity in thin films of incipient ferroelectric
• Resistively shunted Josephson junctions: QFT predictions versus MC results
• Dissipation, topology, and quantum phase transition in a one-dimensional Joesphson junction array
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• Dynamical Mean Field Approximation Applied to Quantum Field Theory
• Three distinct types of quantum phase transitions in a (2+1)-dimensional array of dissipative Josephson junctions
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• Emergent quantum phase transition of a Josephson junction coupled to a high-impedance multimode resonator
• On the nature of the Schmid transition in a resistively shunted Josephson junction
• Observation of the Schmid-Bulgadaev dissipative quantum phase transition
• Simulation results for an interacting pair of resistively shunted Josephson junctions
• Functional Renormalization Group Approach to Circuit Quantum Electrodynamics
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• Limitations of Caldeira-Leggett model for description of phase transitions in superconducting circuits
• Quantum-Classical Transition in Dissipative Double-Well Systems --A Numerical Study by a New Monte Carlo Scheme--
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• Resilience of the quantum critical line in the Schmid transition
• Interaction-induced dissipative quantum phase transition in a head-to-tail atomic Josephson junction
• Bosonized one-dimensional quantum systems through enhanced event-chain Monte Carlo
• The generic Mott transition in the sine-Gordon model through an embedded worm algorithm
• Inverse Superconductor-Insulator Transition in Weakly Monitored Josephson Junction Arrays
• Absence of a dissipative quantum phase transition in Josephson junctions: Theory