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arXiv:1301.1748 · The proceedings of the IEEE Conference on Control Applications/The proceedings of the ... IEEE Conference on Control Applications

Quantum robust stability of a small Josephson junction in a resonant cavity

Ian R. Petersen

Published Oct 1, 2012• 9 citations
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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.

DOI
10.1109/cca.2012.6402399

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