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Dispersive microwave bifurcation of a superconducting resonator cavity incorporating a Josephson junction

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arxiv cond-mat/0702445 v1 pith:HHM2VT7A submitted 2007-02-19 cond-mat.supr-con cond-mat.mes-hall

Dispersive microwave bifurcation of a superconducting resonator cavity incorporating a Josephson junction

E. Boaknin (1) , V. E. Manucharyan (1) , S. Fissette (2) , M. Metcalfe (1) , L. Frunzio (1) , R. Vijay (1) , I. Siddiqi (3) , A. Wallraff (4)
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R. J. Schoelkopf (1) M. Devoret (1) ((1) Department of Applied Physics Yale University New Haven CT; (2) Departement de Physique Universite de Sherbrooke Canada; (3) Department of Physics University of California Berkeley CA; (4) Department of Physics ETH Zurich Switzerland)
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classification cond-mat.supr-con cond-mat.mes-hall
keywords cavitybifurcationbistabilitydispersivefiniteincorporatingjosephsonjunction
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We have observed the dynamical bistability of a microwave superconducting Fabry-Perot cavity incorporating a non-linear element in the form of Josephson tunnel junction. The effect, which is the analog of optical bistability, manifests itself in the transmission and reflection characteristics of the cavity and is governed by a competition between the wave amplitude dependence of the resonant frequency and the finite residence time of the field energy inside the cavity. This finite residence time is solely due to extraction of radiation from the cavity by the measurement process. The tight quantitative agreement with a simple model based on the Duffing oscillator equation shows that the nonlinearity, and hence the bifurcation phenomenon, is solely dispersive.

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