Observing the Poisson Distribution of a Coherent Microwave Field With a Parametric Photon Detector

Single-photon detectors are essential for implementing optical quantum technologies, such as quantum key distribution, and for enhancing optical imaging systems such as lidar, while also playing a crucial role in studying the statistical properties of light. In this work, we show how the underlying...

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Main Authors: Jiaming Wang, Kirill Petrovnin, J. Pertti Hakonen, Gheorghe Sorin Paraoanu
Format: Article
Language:English
Published: IEEE 2025-01-01
Series:IEEE Transactions on Quantum Engineering
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Online Access:https://ieeexplore.ieee.org/document/10919223/
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author Jiaming Wang
Kirill Petrovnin
J. Pertti Hakonen
Gheorghe Sorin Paraoanu
author_facet Jiaming Wang
Kirill Petrovnin
J. Pertti Hakonen
Gheorghe Sorin Paraoanu
author_sort Jiaming Wang
collection DOAJ
description Single-photon detectors are essential for implementing optical quantum technologies, such as quantum key distribution, and for enhancing optical imaging systems such as lidar, while also playing a crucial role in studying the statistical properties of light. In this work, we show how the underlying photon statistics can be revealed by using a threshold detector, implemented as a Josephson parametric amplifier operating near a first-order phase transition. We describe the detection protocol, which utilizes a series of pumping pulses followed by the observation of activated switching events. The acquired data are analyzed using two binomial tests, and the results are compared to a theoretical model that takes into account the photon statistics of the microwave field, with additional validation provided by computer simulations. We show that these tests provide conclusive evidence for the Poissonian statistics in the case of a coherent state, in agreement with the experimental data. In addition, this method enables us to distinguish between different statistics of the incoming probe field. Our approach is broadly applicable to standard non-photon-number-resolving detectors, offering a practical pathway to characterize photon statistics in quantum microwave and optical systems.
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spelling doaj-art-2c0ba7f4daf841b5b95bd27256ac5f112025-08-20T02:18:25ZengIEEEIEEE Transactions on Quantum Engineering2689-18082025-01-0161810.1109/TQE.2025.354948510919223Observing the Poisson Distribution of a Coherent Microwave Field With a Parametric Photon DetectorJiaming Wang0https://orcid.org/0009-0002-4151-6655Kirill Petrovnin1https://orcid.org/0000-0003-0014-4955J. Pertti Hakonen2https://orcid.org/0000-0002-8247-4108Gheorghe Sorin Paraoanu3https://orcid.org/0000-0003-0057-7275QTF Centre of Excellence and InstituteQ, Department of Applied Physics, Aalto University, Aalto, FinlandQTF Centre of Excellence and InstituteQ, Department of Applied Physics, Aalto University, Aalto, FinlandQTF Centre of Excellence and InstituteQ, Department of Applied Physics, Aalto University, Aalto, FinlandQTF Centre of Excellence and InstituteQ, Department of Applied Physics, Aalto University, Aalto, FinlandSingle-photon detectors are essential for implementing optical quantum technologies, such as quantum key distribution, and for enhancing optical imaging systems such as lidar, while also playing a crucial role in studying the statistical properties of light. In this work, we show how the underlying photon statistics can be revealed by using a threshold detector, implemented as a Josephson parametric amplifier operating near a first-order phase transition. We describe the detection protocol, which utilizes a series of pumping pulses followed by the observation of activated switching events. The acquired data are analyzed using two binomial tests, and the results are compared to a theoretical model that takes into account the photon statistics of the microwave field, with additional validation provided by computer simulations. We show that these tests provide conclusive evidence for the Poissonian statistics in the case of a coherent state, in agreement with the experimental data. In addition, this method enables us to distinguish between different statistics of the incoming probe field. Our approach is broadly applicable to standard non-photon-number-resolving detectors, offering a practical pathway to characterize photon statistics in quantum microwave and optical systems.https://ieeexplore.ieee.org/document/10919223/Coherent statecritical phenomenadark count rateJosephson parametric oscillatormicrowave photon detectorphase transition
spellingShingle Jiaming Wang
Kirill Petrovnin
J. Pertti Hakonen
Gheorghe Sorin Paraoanu
Observing the Poisson Distribution of a Coherent Microwave Field With a Parametric Photon Detector
IEEE Transactions on Quantum Engineering
Coherent state
critical phenomena
dark count rate
Josephson parametric oscillator
microwave photon detector
phase transition
title Observing the Poisson Distribution of a Coherent Microwave Field With a Parametric Photon Detector
title_full Observing the Poisson Distribution of a Coherent Microwave Field With a Parametric Photon Detector
title_fullStr Observing the Poisson Distribution of a Coherent Microwave Field With a Parametric Photon Detector
title_full_unstemmed Observing the Poisson Distribution of a Coherent Microwave Field With a Parametric Photon Detector
title_short Observing the Poisson Distribution of a Coherent Microwave Field With a Parametric Photon Detector
title_sort observing the poisson distribution of a coherent microwave field with a parametric photon detector
topic Coherent state
critical phenomena
dark count rate
Josephson parametric oscillator
microwave photon detector
phase transition
url https://ieeexplore.ieee.org/document/10919223/
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AT kirillpetrovnin observingthepoissondistributionofacoherentmicrowavefieldwithaparametricphotondetector
AT jperttihakonen observingthepoissondistributionofacoherentmicrowavefieldwithaparametricphotondetector
AT gheorghesorinparaoanu observingthepoissondistributionofacoherentmicrowavefieldwithaparametricphotondetector