Resistively shunted Josephson junctions: QFT predictions versus MC results
Sergei L. Lukyanov, Philipp Werner
TL;DR
This paper compares quantum field theory predictions with Monte Carlo simulations for resistively shunted Josephson junctions modeled by the boundary sine-Gordon theory, validating analytical results through numerical methods.
Contribution
It applies a new Monte Carlo technique to test exact analytical predictions of the boundary sine-Gordon model related to Josephson junctions.
Findings
Monte Carlo results agree with quantum field theory predictions
Validation of analytical results for resistively shunted Josephson junctions
Enhanced understanding of boundary sine-Gordon model behavior
Abstract
During the last fourteen years several exact results were obtained for the so-called boundary sine-Gordon model. In the case of a conformal bulk this 2D boundary quantum field theory describes the universal scaling behavior of the Caldeira-Leggett model of resistively shunted Josephson junctions. In this work, we use a recently developed Monte Carlo technique to test some of the analytical predictions.
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