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The Quantum Rayleigh Emissions and the Intrinsic Field of Photons Redefining Quantum Correlations

Andre Vatarescu

Published Apr 23, 2025• 1 citation
Publisher

Abstract

The quantum Rayleigh scattering of single photons, which is absent from the physical analyses of quantum optic experiments, destroys the mathematical concept of entangled photons. The quantum Rayleigh spontaneous and stimulated emissions provide physically meaningful interpretations for both polarization-based quantum correlations and beam splitter-based anti-correlations by means of groups of identical photons, commonly mistaken for one photon. These can overcome the quantum Rayleigh scattering of single photon in a dielectric medium. The random phases of spontaneously emitted photons play a critical role in obtaining visibility of unity with intensity correlations or number of photons. It is the ratio of physically present photon numbers that determine the visibility rather than a superposition of randomly detected numbers of photons. The intrinsic field of a photon is the same regardless of the optical source. The evolution of the photonic properties of each input of a pure quantum dynamic and coherent number state is described by the Ehrenfest theorem breaking away from the Copenhagen approach of time- and space-independent inputs of mixed density matrices which appear to lead to physically counter-intuitive interpretations.

DOI
10.20944/preprints202504.1901.v1

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The quantum Rayleigh scattering of single photons, which is absent from the physical analyses of quantum optic experiments, destroys the mathematical concept of entangled photons. The quantum Rayleigh spontaneous and stimulated emissions provide physically meaningful interpretations for both polarization-based quantum correlations and beam splitter-based anti-correlations by means of groups of identical photons, commonly mistaken for one photon. These can overcome the quantum Rayleigh scattering of single photon in a dielectric medium. The random phases of spontaneously emitted photons play a critical role in obtaining visibility of unity with intensity correlations or number of photons. It is the ratio of physically present photon numbers that determine the visibility rather than a superposition of randomly detected numbers of photons. The intrinsic field of a photon is the same regardless of the optical source. The evolution of the photonic properties of each input of a pure quantum dynamic and coherent number state is described by the Ehrenfest theorem breaking away from the Copenhagen approach of time- and space-independent inputs of mixed density matrices which appear to lead to physically counter-intuitive interpretations.
Three physical elements are missing from the conventional formalism of quantum photonics: (1) the quantum Rayleigh spontaneous and stimulated emissions; (2) the unavoidable parametric amplification; and (3) the mixed time-frequency spectral structure of a photonic field which specifies its duration or spatial extent. As a single photon enters a dielectric medium, the quantum Rayleigh scattering prevents it from propagating in a straight-line, thereby destroying any possible entanglement. A pure dynamic and coherent state composed of two consecutive number states, delivers the correct expectation values for the number of photons carried by a photonic wave front, its complex optical field, and phase quadratures. The intrinsic longitudinal and lateral field profiles associated with a group of photons for any instantaneous number of photons are independent of the source. These photonic properties enable a step-by-step analysis of the correlation functions characterizing counting of coincident numbers of photons or intensities with unity visibility interference, spanning the classical and quantum optic regimes.
Three physical elements are missing from the conventional formalism of quantum photonics: 1) the quantum Rayleigh spontaneous and stimulated emissions; 2) the unavoidable parametric amplification; and 3) the mixed time-frequency spectral structure of a photonic field which specifies its duration or spatial extent. As a single photon enters a dielectric medium, the quantum Rayleigh scattering prevents it from propagating in a straight-line, thereby destroying any possible entanglement. A pure dynamic and coherent state composed of two consecutive number states, delivers the correct expectation values for the number of photons carried by a photonic wave front, its complex optical field, and phase quadratures. The intrinsic longitudinal and lateral field profiles associated with a group of photons for any instantaneous number of photons are independent of the source. These photonic properties enable a step-by-step analysis of the correlation functions characterizing counting of coincident numbers of photons or intensities with unity visibility interference, spanning the classical and quantum optic regimes
The quantum Rayleigh spontaneous emission replaces entangled photons with independent ones in homogeneous dielectric media where single photons cannot propagate in a straight line. Single and independent groups of photons, described by the original bare states of Jaynes-Cummings model, deliver the correct expectation values for the number of photons carried by a photonic wavefront, its complex optical field, and phase quadratures. The intrinsic longitudinal field profile associated with a photonic wavefront is derived for any instantaneous number of photons. These photonic properties enable a step-by-step analysis of various beam splitters and interferometric filters. As a result, generalized expressions are derived for the correlation functions characterizing counting of coincident numbers of photons for fourth-order interference, whether classical or quantum optical, without entangled photons.
Three physical elements are missing from the conventional formalism of quantum photonics: 1) the quantum Rayleigh spontaneous and stimulated emissions; 2) the unavoidable parametric amplification; and 3) the mixed time-frequency spectral structure of a photonic field which specifies its duration or spatial extent. As a single photon enters a dielectric medium, the quantum Rayleigh scattering prevents it from propagating in a straight-line, thereby destroying any possible entanglement. A pure dynamic and coherent state composed of two consecutive number states, delivers the correct expectation values for the number of photons carried by a photonic wave front, its complex optical field, and phase quadratures. The intrinsic longitudinal and lateral field profiles associated with a group of photons for any instantaneous number of photons are independent of the source. These photonic properties enable a step-by-step analysis of the correlation functions characterizing counting of coincident numbers of photons or intensities with unity visibility interference, spanning the classical and quantum optic regimes
Three physical elements are missing from the conventional formalism of quantum photonics: 1) the quantum Rayleigh spontaneous and stimulated emissions; 2) the unavoidable parametric amplification; and 3) the mixed time-frequency spectral structure of a photonic field which specifies its duration or spatial extent. As a single photon enters a dielectric medium, the quantum Rayleigh scattering prevents it from propagating in a straight-line, thereby destroying any possible entanglement. A pure dynamic and coherent state composed of two consecutive number states, delivers the correct expectation values for the number of photons carried by a photonic wave front, its complex optical field, and phase quadratures. The intrinsic longitudinal and lateral field profiles associated with a group of photons for any instantaneous number of photons are independent of the source. These photonic properties enable a step-by-step analysis of the correlation functions characterizing counting of coincident numbers of photons or intensities with unity visibility interference, spanning the classical and quantum optic regimes