Enhancement of the optomechanical coupling and Kerr nonlinearity using the Josephson capacitance of a Cooper-pair box

Juuso Manninen, Mohammad Tasnimul Haque, David Vitali, and Pertti Hakonen
Phys. Rev. B 105, 144508 – Published 25 April 2022

Abstract

We propose a scheme for enhancing the optomechanical coupling between microwave and mechanical resonators by up to seven orders of magnitude to the ultrastrong coupling limit in a circuit optomechanical setting. The tripartite system considered here consists of a Josephson junction Cooper-pair box that mediates the coupling between the microwave cavity and the mechanical resonator. The optomechanical coupling can be modified by tuning the gate charge and the magnetic flux bias of the Cooper-pair box which in turn affect the Josephson capacitance of the Cooper-pair box. We additionally show that with a suitable choice of tuning parameters, the optomechanical coupling vanishes and the system purely exhibits a cross-Kerr type of nonlinearity between the cavity and the mechanical resonator. This allows the system to be used for phonon counting.

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  • Received 10 January 2021
  • Revised 31 March 2022
  • Accepted 31 March 2022

DOI:https://doi.org/10.1103/PhysRevB.105.144508

©2022 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied Physics

Authors & Affiliations

Juuso Manninen1, Mohammad Tasnimul Haque1, David Vitali2, and Pertti Hakonen1,3

  • 1Low Temperature Laboratory, Department of Applied Physics, Aalto University, P.O. Box 15100, FI-00076 Espoo, Finland
  • 2School of Science and Technology, Physics Division, University of Camerino, I-62032 Camerino (MC), Italy
  • 3QTF Centre of Excellence, Department of Applied Physics, Aalto University, P.O. Box 15100, FI-00076 Aalto, Finland

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Vol. 105, Iss. 14 — 1 April 2022

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