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Optics Express

Contradiction within wave optics and its solution within a particle picture: comment

Xavier Délen, Marc Hanna, François Balembois, Patrick Georges, Fabien Bretenaker

Published Jan 26, 2016• 2 citations
Publisher

Abstract

An error in the rationale presented in the paper "Contradiction within wave optics and its solution within a particle picture" by Altmann [Opt. Express 23, 3731 (2015)10.1364/OE.23.003731] is discussed.
DOI
10.1364/oe.24.002106

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Abstract: We study quantitatively the weak source of noise that is presentwhen correlated photons are produced via four wave mixing in siliconnanophotonic waveguides. First, we deduce the amont of noise from thedependance of the photon flux on the pump power. Second we cara cterisethe spectrum of the noise and of the pairs of photons which shows that thenoise is due to a scattering of photons by a thermal bath. Third we show thatthe photon flux (noise plus pairs) is essentially instantane ous, and cannottherefore be attributed to carrier induced effects. We discuss our results andcompare them to photon pair generation in silica fibers. © 2011 Optical Society of America OCIS codes: (270.0270) Quantum optics; (270.2500) Quantum optics, Fluctuations, relax-ations, and noise; (190.3270) Nonlinear optics, Ker effect; (190.5650) Nonlinear optics, Ramanscattering References and links 1. M. A. Nielsen and I. L. Chuang, Quantum Computation and Quantum Information (Cambridge, 2000).2. M. Fiorentino, P. L. Voss, J. E. Sharping, and P. Kumar, ”All-fiber photon-pair source for quantum communica-tions,” IEEE Photon. Technol. Lett. 14, 983 (2002).3. X. Li, J. Chen, P. Voss, J. Sharping, and P. Kumar, ”All-fiber photon-pair source for quantumcommunications: Improved generation of correlated photons,” Opt. Express 12, 3737-3744 (2004),http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-12-16-3737.4. H. Takesue and K. Inoue, ”Generation of polarization-entangled photon pairs and violation of Bells inequalityusing spontaneous four-wave mixing in a fiber loop,” Phys. Rev. A 70, 031802(R) (2004).5. J. E. Sharping, K. F. Lee, M. A. Foster, A. C. Turner, B. S. Schmidt, M. Lipson, A. L. Gaeta, and P. Kumar,”Generation of correlated photons in nanoscale silicon waveguides,” Opt. Express 14, 12388-12393 (2006),http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-14-25-12388.6. Q. Lin and Govind P. Agrawal, ”Silicon waveguides for creating quantum-correlated photon pairs”, Opt. Lett.21, 3140–3142 (2006), http://ol.osa.org/abstract.cfm?URI=ol-31-21-3140.7. H. Takesue, Y. Tokura, H. Fukuda, T. Tsuchizawa, T. Watanabe, K. Yamada, and S.-I. Itabashi, ”Entanglementgeneration using silicon wire waveguide,” Appl. Phys. Lett. 91, 201108 (2007).8. H. Takesue, H. Fukuda, T. Tsuchizawa, T. Watanabe, K. Yamada, Y. Tokura, and S.-I. Itabashi, ”Generationof polarization entangled photon pairs using silicon wire waveguide,” Opt. Express 16, 5721-5727 (2008),http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-16-8-5721.

•Jan 31, 2011•1 citation
The particle picture presented by the author in the paper "A particle picture of the optical resonator" [K. Altmann, ASSL 2014 Conference Paper ATu2A.29], which shows that the probability density of a photon propagating with a Gaussian wave can be computed by the use of a Schrödinger equation, is generalized to the case of a wave with arbitrary shape of the phase front. Based on a consideration of the changing propagation direction of the relativistic mass density propagating with the electromagnetic wave, a transverse force acting on the photon is derived. The expression obtained for this force makes it possible to show that the photon moves within a transverse potential that in combination with a Schrödinger equation allows to describe the transverse quantum mechanical motion of the photon by the use of matter wave theory, even though the photon has no rest mass. The obtained results are verified for the plane, the spherical, and the Gaussian wave. Additional verification could be provided also by the fact that the mathematical equation describing the Guoy phase shift could be derived from this particle picture in full agreement with wave optics. One more verification could be obtained by the fact that within the range of the validity of paraxial wave optics, Snell's law could also be derived from this particle picture. Numerical validation of the obtained results for the case of the general wave is under development.
The paper [Opt. Express32, 40150 (2024)10.1364/OE.531674] investigates quantum illumination using polarization-entangled photon pairs for object detection in noisy environments. In this comment, we identify errors in the mathematical model for photon loss, particularly in the treatment of quantum entanglement under lossy channels. We show that the claimed robustness of polarization entanglement to photon loss contradicts established principles in quantum information theory, rendering the conclusions on detecting low-reflectivity objects unsupported.
Abstract: We study quantitatively the weak source of noise that is presentwhen correlated photons are produced via four wave mixing in siliconnanophotonic waveguides. First, we deduce the amont of noise from thedependance of the photon flux on the pump power. Second we cara cterisethe spectrum of the noise and of the pairs of photons which shows that thenoise is due to a scattering of photons by a thermal bath. Third we show thatthe photon flux (noise plus pairs) is essentially instantane ous, and cannottherefore be attributed to carrier induced effects. We discuss our results andcompare them to photon pair generation in silica fibers. © 2011 Optical Society of America OCIS codes: (270.0270) Quantum optics; (270.2500) Quantum optics, Fluctuations, relax-ations, and noise; (190.3270) Nonlinear optics, Ker effect; (190.5650) Nonlinear optics, Ramanscattering References and links 1. M. A. Nielsen and I. L. Chuang, Quantum Computation and Quantum Information (Cambridge, 2000).2. M. Fiorentino, P. L. Voss, J. E. Sharping, and P. Kumar, ”All-fiber photon-pair source for quantum communica-tions,” IEEE Photon. Technol. Lett. 14, 983 (2002).3. X. Li, J. Chen, P. Voss, J. Sharping, and P. Kumar, ”All-fiber photon-pair source for quantumcommunications: Improved generation of correlated photons,” Opt. Express 12, 3737-3744 (2004),http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-12-16-3737.4. H. Takesue and K. Inoue, ”Generation of polarization-entangled photon pairs and violation of Bells inequalityusing spontaneous four-wave mixing in a fiber loop,” Phys. Rev. A 70, 031802(R) (2004).5. J. E. Sharping, K. F. Lee, M. A. Foster, A. C. Turner, B. S. Schmidt, M. Lipson, A. L. Gaeta, and P. Kumar,”Generation of correlated photons in nanoscale silicon waveguides,” Opt. Express 14, 12388-12393 (2006),http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-14-25-12388.6. Q. Lin and Govind P. Agrawal, ”Silicon waveguides for creating quantum-correlated photon pairs”, Opt. Lett.21, 3140–3142 (2006), http://ol.osa.org/abstract.cfm?URI=ol-31-21-3140.7. H. Takesue, Y. Tokura, H. Fukuda, T. Tsuchizawa, T. Watanabe, K. Yamada, and S.-I. Itabashi, ”Entanglementgeneration using silicon wire waveguide,” Appl. Phys. Lett. 91, 201108 (2007).8. H. Takesue, H. Fukuda, T. Tsuchizawa, T. Watanabe, K. Yamada, Y. Tokura, and S.-I. Itabashi, ”Generationof polarization entangled photon pairs using silicon wire waveguide,” Opt. Express 16, 5721-5727 (2008),http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-16-8-5721.