Generation of entangled photon pairs in the form of a shock electromagnetic wave
https://doi.org/10.18384/2949-5067-2025-3-36-41
Abstract
Aim. The dynamics of classical fields, which leads to photon production in nonlinear crystals, obey nonlinear equations. These equations have soliton solutions and describe the formation of shock-wave profiles.
Methodology. This paper presents a mathematical description of parametric scattering processes based on coupled-wave equations and the nonlinear Schrödinger equation.
Results. The relationship between the shock wave type solution in the Burgers equation and the formation of the bi-photon generation front is shown.
Research implications. The mathematical apparatus and physical analogies from the theory of shock waves and solitons are extremely useful for describing and understanding how and under what conditions new photons are produced.
Keywords
biphoton,
soliton,
shock wave,
nonlinear Schrödinger equation,
Burgers equation,
phase matching,
photon-pair generation
Supporting agencies: The authors are grateful to Professor V. V. Belyaev for his general guidance and valuable advice that influenced the writing of this work.
About the Authors
Yu. T. Kamalov
Federal State University of Education
Russian Federation
Russian Federation
Yuri T. Kamalov – Postgraduate Student, Department of Fundamental Physics and Nanotechnology
Moscow
M. M. Kuznetsov
Federal State University of Education
Russian Federation
Russian Federation
Mihail M. Kuznetsov – Dr. Sci. (Phys.-Math.), Prof., Assoc. Prof., Department of Fundamental Physics and Nanotechnology
Moscow
References
1. Boyd, R. W. (2020). Nonlinear Optics. London: Academic press. DOI: 10.1016/C2015-0-05510-1.
2. Agrawal, G. P. (2019). Nonlinear Fiber Optics. London: Academic press. DOI: 10.1016/C2018-0-01168-8.
3. Drummond, P. D. & Hillery, M. (2014). The Quantum Theory of Nonlinear Optics. Cambridge: Cambridge University Press. DOI: 10.1017/CBO9780511783616.
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