RF bifurcation of a Josephson junction: microwave embedding circuit requirements

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 ${\omega }_R$, with the quality factor $Q$ of the resonance and the participation ratio $p$ of the junction satisfying $Qp\gg 1$, b) the drive frequency should be low frequency detuned away from ${\omega }_R$ by more than $\sqrt{3}{\omega }_R/(2Q)$.

Submitted to Phys. Rev. B, 12 pages, 6 figures

References in corpus (2)

• High-contrast dispersive readout of a superconducting flux qubit using a nonlinear resonator
• Critical exponents in metastable decay via quantum activation

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