Electronic and photonic counting statistics as probes of non-equilibrium quantum dynamics

Kubala, Bj�rn; Ankerhold, Joachim; Armour, Andrew D

Abstract

© 2020 The Author(s). Published by IOP Publishing Ltd on behalf of the Institute of Physics and Deutsche Physikalische Gesellschaft. We analyse the full counting statistics (FCS) of photons flowing in and out of a microwave cavity coupled to a voltage-biased Josephson junction. Tunnelling of Cooper pairs generates a coherent flow of photons into the cavity whilst at the same time photons can also leak out incoherently. We use a very general unitary transformation method to demonstrate that there is a simple connection between the FCS of the charges and the photons in the long time limit, revealing that all the cumulants of the coherent and the incoherent processes match in that limit. We also explore some of the interesting features in the counting statistics of the charges and photons which arise from the strongly nonlinear dynamics of the system. These include very narrow distributions associated with the emergence of coherent transport and regimes where counting of either an odd or an even number of photons leaving the cavity can result in strongly non-classical cat states within the cavity.

Citation

Kubala, B., Ankerhold, J., & Armour, A. D. (2020). Electronic and photonic counting statistics as probes of non-equilibrium quantum dynamics. New Journal of Physics, 22(2), https://doi.org/10.1088/1367-2630/ab6eb0

• Journal Article Type: Article
• Acceptance Date: Jan 22, 2020
• Online Publication Date: Feb 5, 2020
• Publication Date: Feb 5, 2020
• Deposit Date: Jan 23, 2020
• Publicly Available Date: Feb 5, 2020
• Journal: New Journal of Physics
• Electronic ISSN: 1367-2630
• Publisher: IOP Publishing
• Peer Reviewed: Peer Reviewed
• Volume: 22
• Issue: 2
• Article Number: 023010
• DOI: https://doi.org/10.1088/1367-2630/ab6eb0
• Keywords: General Physics and Astronomy
• Public URL: https://nottingham-repository.worktribe.com/output/3786201
• Publisher URL: https://iopscience.iop.org/article/10.1088/1367-2630/ab6eb0
• Additional Information: Journal title: New Journal of Physics; Article type: paper; Article title: Electronic and photonic counting statistics as probes of non-equilibrium quantum dynamics; Copyright information: © 2020 The Author(s). Published by IOP Publishing Ltd on behalf of the Institute of Physics and Deutsche Physikalische Gesellschaft; License information: cc-by Original content from this work may be used under the terms of the Creative Commons Attribution 4.0 licence. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI.; Date received: 2019-11-15; Date accepted: 2020-01-22; Online publication date: 2020-02-05