Quantum entanglement of a harmonic oscillator with an electromagnetic field

• Main Author: Dmitry N. Makarov
• Format: Article
• Language: English
• Published: Nature Publishing Group 2018-05-01
• Series: Scientific Reports
• Online Access: https://doi.org/10.1038/s41598-018-26650-8

Abstract At present, there are many methods for obtaining 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.