In situ tunable nonlinearity and competing signal paths in coupled superconducting resonators

Michael Fischer, Qi-Ming Chen, Christian Besson, Peter Eder, Jan Goetz, Stefan Pogorzalek, Michael Renger, Edwar Xie, Michael J. Hartmann, Kirill G. Fedorov, Achim Marx, Frank Deppe, and Rudolf Gross
Phys. Rev. B 103, 094515 – Published 24 March 2021

Abstract

We have fabricated and studied a system of two tunable and coupled nonlinear superconducting resonators. The nonlinearity is introduced by galvanically coupled dc superconducting quantum interference devices. We simulate the system response by means of a circuit model, which includes an additional signal path introduced by the electromagnetic environment. Furthermore, we present two methods allowing us to experimentally determine the nonlinearity. First, we fit the measured frequency and flux dependence of the transmission data to simulations based on the equivalent circuit model. Second, we fit the power dependence of the transmission data to a model that is predicted by the nonlinear equation of motion describing the system. Our results show that we are able to tune the nonlinearity of the resonators by almost two orders of magnitude via an external coil and two on-chip antennas. The studied system represents a basic building block for larger systems, allowing for quantum simulations of bosonic many-body systems with a larger number of lattice sites.

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  • Received 27 September 2020
  • Revised 12 March 2021
  • Accepted 15 March 2021

DOI:https://doi.org/10.1103/PhysRevB.103.094515

©2021 American Physical Society

Physics Subject Headings (PhySH)

Quantum Information, Science & TechnologyCondensed Matter, Materials & Applied Physics

Authors & Affiliations

Michael Fischer1,2,*, Qi-Ming Chen1,2,3, Christian Besson1,2, Peter Eder1,2, Jan Goetz1,2, Stefan Pogorzalek1,2, Michael Renger1,2,3, Edwar Xie1,2,3, Michael J. Hartmann4,5, Kirill G. Fedorov1,2, 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
  • 3Munich Center for Quantum Science and Technology (MSQCT), Schellingstraße 4, 80799 München, Germany
  • 4Friedrich-Alexander University Erlangen-Nürnberg (FAU), Department of Physics, 91058 Erlangen, Germany
  • 5Max Planck Institute for the Science of Light, 91058 Erlangen, Germany

  • *michael.fischer@wmi.badw.de
  • rudolf.gross@wmi.badw.de

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Issue

Vol. 103, Iss. 9 — 1 March 2021

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