Light beam interacting with electron medium. Exact solutions of the model and their possible applications to photon entanglement problem

TL;DR

This paper presents exact solutions for a quantum electrodynamics model of a photon beam interacting with a quantized electron medium, exploring applications in photon entanglement influenced by magnetic fields and electron parameters.

Contribution

It provides exact analytical solutions for the photon-electron interaction model and demonstrates their use in calculating photon entanglement under magnetic fields.

Findings

Exact solutions for photon-electron interaction model.

Photon entanglement depends on magnetic field and electron medium parameters.

Potential applications in quantum information processing.

Abstract

We consider a model for describing a QED system consisting of a photon beam interacting with quantized charged spinless particles. We restrict ourselves by a photon beam that consists of photons with two different momenta moving in the same direction. Photons with each moment may have two possible linear polarizations. The exact solutions correspond to two independent subsystems, one of which corresponds to the electron medium and another one is described by vectors in the photon Hilbert subspace and is representing a set of some quasi-photons that do not interact with each other. In addition, we find exact solution of the model that correspond to the same system placed in a constant magnetic field. As an example, of possible applications, we use the solutions of the model for calculating entanglement of the photon beam by quantized electron medium and by a constant magnetic field. Thus, we calculate the entanglement measures (the information and the Schmidt ones) of the photon beam as functions of the applied magnetic field and parameters of the electron medium.