Quantum entanglement of a harmonic oscillator in an electromagnetic field
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.
Keywords
Cite
@article{arxiv.1709.04716,
title = {Quantum entanglement of a harmonic oscillator in an electromagnetic field},
author = {Dmitry Makarov},
journal= {arXiv preprint arXiv:1709.04716},
year = {2017}
}