Linear response theory of Josephson junction arrays in a microwave cavity
Mesoscale and Nanoscale Physics
2019-04-05 v3 Superconductivity
Quantum Physics
Abstract
Recent experiments on Josephson junction arrays (JJAs) in microwave cavities have opened up a new avenue for investigating the properties of these devices while minimising the amount of external noise coming from the measurement apparatus itself. These experiments have already shown promise for probing many-body quantum effects in JJAs. In this work, we develop a general theoretical description of such experiments by deriving a quantum phase model for planar JJAs containing quantized vortices. The dynamical susceptibility of this model is calculated for some simple circuits, and signatures of the injection of additional vortices are identified. The effects of decoherence are considered via a Lindblad master equation.
Keywords
Cite
@article{arxiv.1811.01737,
title = {Linear response theory of Josephson junction arrays in a microwave cavity},
author = {Samuel A. Wilkinson and Jared H. Cole},
journal= {arXiv preprint arXiv:1811.01737},
year = {2019}
}
Comments
15 pages, 10 figures