Quantum entanglement of a harmonic oscillator in an electromagnetic field

TL;DR

This paper presents an exact theoretical analysis of quantum entanglement between a harmonic oscillator and a quantized electromagnetic field, demonstrating conditions for significant entanglement using precise solutions.

Contribution

It introduces a mathematically exact method for analyzing quantum entanglement in a harmonic oscillator interacting with an electromagnetic field, improving accuracy over approximate approaches.

Findings

Large quantum entanglement can occur under specific parameters.

Exact solutions enable precise calculation of entanglement measures.

The study provides a new framework for entanglement analysis in quantum systems.

Abstract

At present, there are many methods of quantum entanglement of particles with an electromagnetic field. Most methods have a low probability of quantum entanglement and not an exact theoretical apparatus based on an approximate solution of the Schrodinger equation. There is a need for new methods for obtaining quantum-entangled particles and mathematically accurate studies of such methods. In this paper, a quantum harmonic oscillator (for example, an electron in a magnetic field) interacting with a quantized electromagnetic field is considered. Based on the exact solution of the Schrodinger equation for this system, it is shown that for certain parameters there can be a large quantum entanglement between the electron and the electromagnetic field. Quantum entanglement is analyzed on the basis of a mathematically exact expression for the Schmidt modes and the Von Neumann entropy.