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Invited Review Article: The Josephson bifurcation amplifier

Rev. Sci. Instrum. 80, 111101 (2009); doi:10.1063/1.3224703

Published 17 November 2009

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R. Vijay,1 M. H. Devoret,2 and I. Siddiqi1
1Quantum Nanoelectronics Laboratory, Department of Physics, University of California, Berkeley, California 94720, USA
2Department of Applied Physics and Department of Physics, Yale University, New Haven, Connecticut 06520-8284, USA

We review the theory, fabrication, and implementation of the Josephson bifurcation amplifier (JBA). At the core of the JBA is a nonlinear oscillator based on a reactively shunted Josephson junction. A weak input signal to the amplifier couples to the junction critical current I0 and results in a dispersive shift in the resonator plasma frequency omegap. This shift is enhanced by biasing the junction with a sufficiently strong microwave current Irf to access the nonlinear regime where omegap varies with Irf. For a drive frequency omegad such that Omega=2Q(1−omegad/omegap)>sqrt(3), the oscillator enters the bistable regime where two nondissipative dynamical states OL and OH, which differ in amplitude and phase, can exist. The sharp I0 dependent transition from OL to OH forms the basis for a sensitive digital threshold amplifier. In the vicinity of the bistable regime (Omega<sqrt(3)), analog amplification of continuous signals is also possible. We present experimental data characterizing amplifier performance and discuss two specific applications—the readout of superconducting qubits (digital mode) and dispersive microwave magnetometry (analog mode). ©2009 American Institute of Physics
History: Received 28 April 2009; accepted 17 August 2009; published 17 November 2009
Permalink: http://link.aip.org/link/?RSINAK/80/111101/1
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KEYWORDS and PACS

Keywords
PACS
  • 85.25.Cp
    Josephson devices
  • 85.25.Dq
    Superconducting quantum interference devices (SQUIDs)
  • 84.30.Le
    Amplifiers (electronic circuits)
  • 84.30.Ng
    Oscillators, pulse generators, and function generators
  • 84.40.-x
    Radiowave and microwave technology
  • YEAR: 2009

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ISSN:
0034-6748 (print)   1089-7623 (online)
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