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Hysteretic Flux Response and Nondegenerate Gain of Flux-Driven Josephson Parametric Amplifiers

Stefan Pogorzalek1,2,*, Kirill G. Fedorov1,2, Ling Zhong1,2,3, Jan Goetz1,2, Friedrich Wulschner1,2, Michael Fischer1,2,3, Peter Eder1,2,3, Edwar Xie1,2,3, Kunihiro Inomata4 et al.

Tsuyoshi Yamamoto4,5, Yasunobu Nakamura4,6, Achim Marx1, Frank Deppe1,2,3, and Rudolf Gross1,2,3,†

  • 1Walther-Meißner-Institut, Bayerische Akademie der Wissenschaften, 85748 Garching, Germany
  • 2Physik-Department, Technische Universität München, 85748 Garching, Germany
  • 3Nanosystems Initiative Munich (NIM), Schellingstraße 4, 80799 München, Germany
  • 4RIKEN Center for Emergent Matter Science (CEMS), Wako, Saitama 351-0198, Japan
  • 5NEC IoT Devices Research Laboratories, Tsukuba, Ibaraki 305-8501, Japan
  • 6Research Center for Advanced Science and Technology (RCAST), The University of Tokyo, Meguro-ku, Tokyo 153-8904, Japan

  • *stefan.pogorzalek@wmi.badw.de
  • rudolf.gross@wmi.badw.de

Phys. Rev. Applied 8, 024012 – Published 17 August, 2017

DOI: https://doi.org/10.1103/PhysRevApplied.8.024012

Abstract

Josephson parametric amplifiers (JPAs) have become key devices in quantum science and technology with superconducting circuits. In particular, they can be utilized as quantum-limited amplifiers or as a source of squeezed microwave fields. Here, we report on the detailed measurements of five flux-driven JPAs exhibiting a hysteretic dependence of the resonant frequency on the applied magnetic flux. We model the measured characteristics by numerical simulations based on the two-dimensional potential landscape of the dc superconducting quantum interference devices, which provide the JPA nonlinearity for a nonzero screening parameter βL>0 and demonstrate excellent agreement between the numerical results and the experimental data. Furthermore, we study the nondegenerate response of different JPAs and accurately describe the experimental results with our theory.

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