Strong field dynamics and quantum noise in Josephson traveling wave parametric amplifiers (JTWPAs)

ORAL

Abstract

Josephson traveling wave parametric amplifiers (JTWPAs) with resonant phase matching have demonstrated high gain over a broad bandwidth with near quantum-limited noise performance. Several amplifier non-idealities were observed in experiments, including a rapid drop in gain at a certain pump power and a near, but non-unity intrinsic quantum efficiency. To understand these non-idealities, we solve the full nonlinear wave equation for the JTWPA for a sinusoidal drive, finding higher harmonic generation and observing a blow-up at an input pump current below the junction critical current. We find analytic traveling wave solutions in the form of snoidal waves which propagate without distortion. A snoidal drive scheme may increase the drive power at which the blow-up occurs. The quantum noise properties of JTWPAs are critically important for their role as low noise amplifiers. We calculate the noise figure and find that coupling to higher order sidebands imposes an upper limit for the quantum efficiency, in good agreement with empirical results. We further show that this limit can be increased by modest changes to the phase matching of the pump and the dispersion relation.

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Authors

  • Kevin O'Brien

    NSF Nano-scale Science and Engineering Center, UC Berkeley

  • Chris Macklin

    Quantum Nanoelectronics Laboratory, UC Berkeley, Quantum Nanoelectronics Laboratory, UC Berkeley; Computational Research Division, Lawrence Berkeley National Laboratory, Quantum Nanoelectronics Laboratory, University of California, Berkeley

  • Yuan Wang

    NSF Nano-scale Science and Engineering Center, UC Berkeley, University of California, Berkeley, Univ of California - Berkeley

  • Irfan Siddiqi

    Quantum Nanoelectronics Laboratory, UC Berkeley, Univ of California - Berkeley, Department of Physics, UC Berkeley, University of California, Berkeley, Quantum Nanoelectronics Laboratory, UC Berkeley; Materials Sciences Division, Lawrence Berkeley National Laboratory, Quantum Nanoelectronics Laboratory, University of California, Berkeley

  • Xiang Zhang

    University of California, Berkeley, NSF Nano-scale Science and Engineering Center, UC Berkeley, Univ of California - Berkeley