Quantum Robust Stability of a Small Josephson Junction in a Resonant Cavity

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.

A version of this paper appeared in the proceedings of the 2012 IEEE Multi-conference on Systems and Control

References in corpus (4)

• Coherent quantum LQG control
• Linear Quantum Feedback Networks
• Avoiding entanglement sudden-death via measurement feedback control in a quantum network
• Robust Stability of Uncertain Quantum Systems

Cited by in corpus (1)

• Robust Stability of Quantum Systems with Nonlinear Dynamic Uncertainties