Quantum Chaos in Time Series of Single Photons as a Superposition of Wave and Particle States

We build a time series of single photons with quantum chaos statistics, using a version of the Grangier anti-correlation experiment. The criteria utilized to determine the presence of quantum chaos is the frame of the Fano factor and the power spectrum. We also show that photons with chaotic statist...

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Main Authors: Benjamín David Mendoza, Diego Alberto Lara, Jehú López-Aparicio, Gustavo Armendáriz, Leonardo López-Hernández, Víctor Velázquez, Edna Magdalena Hernández, Marcela Grether, Enrique López-Moreno, Alejandro Frank
Format: Article
Language:English
Published: MDPI AG 2021-08-01
Series:Photonics
Subjects:
Online Access:https://www.mdpi.com/2304-6732/8/8/326
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author Benjamín David Mendoza
Diego Alberto Lara
Jehú López-Aparicio
Gustavo Armendáriz
Leonardo López-Hernández
Víctor Velázquez
Edna Magdalena Hernández
Marcela Grether
Enrique López-Moreno
Alejandro Frank
author_facet Benjamín David Mendoza
Diego Alberto Lara
Jehú López-Aparicio
Gustavo Armendáriz
Leonardo López-Hernández
Víctor Velázquez
Edna Magdalena Hernández
Marcela Grether
Enrique López-Moreno
Alejandro Frank
author_sort Benjamín David Mendoza
collection DOAJ
description We build a time series of single photons with quantum chaos statistics, using a version of the Grangier anti-correlation experiment. The criteria utilized to determine the presence of quantum chaos is the frame of the Fano factor and the power spectrum. We also show that photons with chaotic statistics are in a balanced superposition of photons with both wave-like and particle like behaviors. To support the presence of quantum chaos, we study both Shannon’s entropy, and the complexity of single photons time series.
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spelling doaj.art-3b5fb8b9032b4f578fb2c389ab22fbad2023-11-22T09:16:41ZengMDPI AGPhotonics2304-67322021-08-018832610.3390/photonics8080326Quantum Chaos in Time Series of Single Photons as a Superposition of Wave and Particle StatesBenjamín David Mendoza0Diego Alberto Lara1Jehú López-Aparicio2Gustavo Armendáriz3Leonardo López-Hernández4Víctor Velázquez5Edna Magdalena Hernández6Marcela Grether7Enrique López-Moreno8Alejandro Frank9Facultad de Ciencias, Universidad Nacional Autónoma de México, Apartado Postal 70-543, Ciudad de México 04510, MexicoFacultad de Ciencias, Universidad Nacional Autónoma de México, Apartado Postal 70-543, Ciudad de México 04510, MexicoFacultad de Ciencias, Universidad Nacional Autónoma de México, Apartado Postal 70-543, Ciudad de México 04510, MexicoFacultad de Ciencias, Universidad Nacional Autónoma de México, Apartado Postal 70-543, Ciudad de México 04510, MexicoFacultad de Ciencias, Universidad Nacional Autónoma de México, Apartado Postal 70-543, Ciudad de México 04510, MexicoFacultad de Ciencias, Universidad Nacional Autónoma de México, Apartado Postal 70-543, Ciudad de México 04510, MexicoFacultad de Ciencias, Universidad Nacional Autónoma de México, Apartado Postal 70-543, Ciudad de México 04510, MexicoFacultad de Ciencias, Universidad Nacional Autónoma de México, Apartado Postal 70-543, Ciudad de México 04510, MexicoFacultad de Ciencias, Universidad Nacional Autónoma de México, Apartado Postal 70-543, Ciudad de México 04510, MexicoInstituto de Ciencias Nucleares, Universidad Nacional Autónoma de México, Apartado Postal 70-543, Ciudad de México 04510, MexicoWe build a time series of single photons with quantum chaos statistics, using a version of the Grangier anti-correlation experiment. The criteria utilized to determine the presence of quantum chaos is the frame of the Fano factor and the power spectrum. We also show that photons with chaotic statistics are in a balanced superposition of photons with both wave-like and particle like behaviors. To support the presence of quantum chaos, we study both Shannon’s entropy, and the complexity of single photons time series.https://www.mdpi.com/2304-6732/8/8/326quantum chaoswave-particle dualityFano factor
spellingShingle Benjamín David Mendoza
Diego Alberto Lara
Jehú López-Aparicio
Gustavo Armendáriz
Leonardo López-Hernández
Víctor Velázquez
Edna Magdalena Hernández
Marcela Grether
Enrique López-Moreno
Alejandro Frank
Quantum Chaos in Time Series of Single Photons as a Superposition of Wave and Particle States
Photonics
quantum chaos
wave-particle duality
Fano factor
title Quantum Chaos in Time Series of Single Photons as a Superposition of Wave and Particle States
title_full Quantum Chaos in Time Series of Single Photons as a Superposition of Wave and Particle States
title_fullStr Quantum Chaos in Time Series of Single Photons as a Superposition of Wave and Particle States
title_full_unstemmed Quantum Chaos in Time Series of Single Photons as a Superposition of Wave and Particle States
title_short Quantum Chaos in Time Series of Single Photons as a Superposition of Wave and Particle States
title_sort quantum chaos in time series of single photons as a superposition of wave and particle states
topic quantum chaos
wave-particle duality
Fano factor
url https://www.mdpi.com/2304-6732/8/8/326
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