RF bifurcation of a Josephson junction: microwave embedding circuit requirements

V. E. Manucharyan; E. Boaknin; M. Metcalfe; R. Vijay; I. Siddiqi; M. H. Devoret

doi:10.1103/PhysRevB.76.014524

paper

RF bifurcation of a Josephson junction: microwave embedding circuit requirements

arXiv:cond-mat/0612576 · doi:10.1103/PhysRevB.76.014524

Abstract

A Josephson tunnel junction which is RF-driven near a dynamical bifurcation point can amplify quantum signals. The bifurcation point will exist robustly only if the electrodynamic environment of the junction meets certain criteria. In this article we develop a general formalism for dealing with the non-linear dynamics of Josephson junction embedded in an arbitrary microwave circuit. We find sufficient conditions for the existence of the bifurcation regime: a) the embedding impedance of the junction need to present a resonance at a particular frequency $ω_{R}$ , with the quality factor $Q$ of the resonance and the participation ratio $p$ of the junction satisfying $Qp ≫ 1$ , b) the drive frequency should be low frequency detuned away from $ω_{R}$ by more than $3 ω_{R} / (2 Q)$ .

arXiv commentSubmitted to Phys. Rev. B, 12 pages, 6 figures

RF bifurcation of a Josephson junction: microwave embedding circuit requirements

Abstract

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