Transmission-based noise spectroscopy for quadratic qubit-resonator interactions

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2023
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Physical Review A. American Physical Society (APS). 2023, 107(5), 052603. ISSN 2469-9926. eISSN 2469-9934. Available under: doi: 10.1103/physreva.107.052603
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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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ISO 690MUTTER, Philipp M., Guido BURKARD, 2023. Transmission-based noise spectroscopy for quadratic qubit-resonator interactions. In: Physical Review A. American Physical Society (APS). 2023, 107(5), 052603. ISSN 2469-9926. eISSN 2469-9934. Available under: doi: 10.1103/physreva.107.052603
BibTex
@article{Mutter2023Trans-67262,
  year={2023},
  doi={10.1103/physreva.107.052603},
  title={Transmission-based noise spectroscopy for quadratic qubit-resonator interactions},
  number={5},
  volume={107},
  issn={2469-9926},
  journal={Physical Review A},
  author={Mutter, Philipp M. and Burkard, Guido},
  note={Article Number: 052603}
}
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