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

Ian R. Petersen

doi:10.1109/CCA.2012.6402399

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

Ian R. Petersen^*

^*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

10 Citations (Scopus)

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.

Original language	English
Title of host publication	2012 IEEE International Conference on Control Applications, CCA 2012
Pages	1445-1448
Number of pages	4
DOIs	https://doi.org/10.1109/CCA.2012.6402399
Publication status	Published - 2012
Externally published	Yes
Event	2012 IEEE International Conference on Control Applications, CCA 2012 - Dubrovnik, Croatia Duration: 3 Oct 2012 → 5 Oct 2012

Publication series

Name	Proceedings of the IEEE International Conference on Control Applications

Conference

Conference	2012 IEEE International Conference on Control Applications, CCA 2012
Country/Territory	Croatia
City	Dubrovnik
Period	3/10/12 → 5/10/12

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10.1109/CCA.2012.6402399

Cite this

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title = "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.",

author = "Petersen, {Ian R.}",

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series = "Proceedings of the IEEE International Conference on Control Applications",

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Petersen, IR 2012, Quantum robust stability of a small Josephson junction in a resonant cavity. in 2012 IEEE International Conference on Control Applications, CCA 2012., 6402399, Proceedings of the IEEE International Conference on Control Applications, pp. 1445-1448, 2012 IEEE International Conference on Control Applications, CCA 2012, Dubrovnik, Croatia, 3/10/12. https://doi.org/10.1109/CCA.2012.6402399

Quantum robust stability of a small Josephson junction in a resonant cavity. / Petersen, Ian R.
2012 IEEE International Conference on Control Applications, CCA 2012. 2012. p. 1445-1448 6402399 (Proceedings of the IEEE International Conference on Control Applications).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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AB - 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.

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T2 - 2012 IEEE International Conference on Control Applications, CCA 2012

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

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