Quantum Robust Stability of a Small Josephson Junction in a Resonant Cavity
Quantum Physics
2016-11-15 v1 Systems and Control
Optimization and Control
Abstract
This paper applies recent results on the robust stability of nonlinear quantum systems to the case of a Josephson junction in a resonant cavity. The Josephson junction is characterized by a Hamiltonian operator which contains a non-quadratic term involving a cosine function. This leads to a sector bounded nonlinearity which enables the previously developed theory to be applied to this system in order to analyze its stability.
Keywords
Cite
@article{arxiv.1301.1748,
title = {Quantum Robust Stability of a Small Josephson Junction in a Resonant Cavity},
author = {Ian R. Petersen},
journal= {arXiv preprint arXiv:1301.1748},
year = {2016}
}
Comments
A version of this paper appeared in the proceedings of the 2012 IEEE Multi-conference on Systems and Control