• DocumentCode
    2827128
  • 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
  • fYear
    2012
  • fDate
    3-5 Oct. 2012
  • Firstpage
    1445
  • Lastpage
    1448
  • 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;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Control Applications (CCA), 2012 IEEE International Conference on
  • Conference_Location
    Dubrovnik
  • ISSN
    1085-1992
  • Print_ISBN
    978-1-4673-4503-3
  • Electronic_ISBN
    1085-1992
  • Type

    conf

  • DOI
    10.1109/CCA.2012.6402399
  • Filename
    6402399