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Transmission-based noise spectroscopy for quadratic qubit-resonator interactions

Philipp M. Mutter* and Guido Burkard†

  • Department of Physics, University of Konstanz, D-78457 Konstanz, Germany

  • *philipp.mutter@uni-konstanz.de
  • †guido.burkard@uni-konstanz.de
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Phys. Rev. A 107, 052603 – Published 4 May, 2023

DOI: https://doi.org/10.1103/PhysRevA.107.052603

Abstract

We develop a theory describing the transient transmission through noisy qubit-resonator systems with quadratic interactions as are found in superconducting and nanomechanical resonators coupled to solid-state qubits. After generalizing the quantum Langevin equations to arbitrary qubit-resonator couplings, we show that only the cases of linear and quadratic couplings allow for an analytical treatment within standard input-output theory. Focussing on quadratic couplings and allowing for arbitrary initial qubit coherences, it is shown that noise characteristics can be extracted from input-output measurements by recording both the averaged fluctuations in the transmission probability and the averaged phase. Our results represent an extension to the field of transmission-based noise spectroscopy with immediate practical applications.

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Information

Phys. Rev. A 107, 052603– Published 4 May, 2023
  • Received 20 January 2023
  • Accepted 14 April 2023
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