Title :
Quantum robust stability of a small Josephson junction in a resonant cavity
Author :
Petersen, Ian R.
Author_Institution :
Sch. of Eng. & Inf. Technol., Univ. of New South Wales at the Australian Defence Force Acad., Canberra, ACT, Australia
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 :
Josephson effect; nonlinear systems; stability; Hamiltonian operator; cosine function; nonlinear quantum systems; nonquadratic term; quantum robust stability; resonant cavity; sector bounded nonlinearity; small Josephson junction; Cavity resonators; Couplings; Josephson junctions; Quantum mechanics; Robust stability; Robustness; Stability analysis;
Conference_Titel :
Control Applications (CCA), 2012 IEEE International Conference on
Conference_Location :
Dubrovnik
Print_ISBN :
978-1-4673-4503-3
Electronic_ISBN :
1085-1992
DOI :
10.1109/CCA.2012.6402399
