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Entangled optical solitons in the dielectric medium of a liquid crystal

https://doi.org/10.18384/2310-7251-2022-3-28-38

Abstract

Aim. We implement a stochastic representation of the wave function for a pair of entangled solitons in a liquid crystal. The applicability of a special soliton representation of quantum mechanics for modeling real entangled systems is demonstrated.

Methodology. The main method used in the study is mathematical modeling. As part of the calculation of stochastics by the method of abstraction and concretization, a detailed mathematical apparatus is presented, adapted to the real physical case. The behavior of the material is qualitatively analyzed for the case of propagation of soliton pulses through a dielectric medium.

Results. The main advantage of the stochastic theory for a system of entangled solitons lies in the possibility of modeling entangled states of real systems, i.e. photons. In this work, optical 1D envelopes of solitons in a nematic liquid crystal are considered under approximate conditions of a real physical problem.

Research implications. The theoretical and/or practical significance lies in the fundamental possibility of modeling real entangled systems based on the constructed stochastic model of entangled solitons and subsequent creation of special applications on its basis. In particular we demonstrate a prospect for applying quantum teleportation to the problem of propagation of quantum computation for use among the components of quantum computing networks.

About the Authors

A. V. Kondakova
Moscow Region State University
Russian Federation

 Anastasya V. Kondakova – Student, Faculty of Physics and Mathematics 

ul. Very Voloshinoi 24, Mytishchi 141014, Moscow Region 



T. F. Kamalov
https://timkamalov.theorphys.org/
Moscow Region State University
Russian Federation

  Timur F. Kamalov – Cand. Sci. (Phys.-Math.), Assoc. Prof., Fundamental Physics and Nanotechnology Department 

ul. Very Voloshinoi 24, Mytishchi 141014, Moscow Region 



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