Coupled Harmonic Oscillator in a System of Free Particles

The coupled quantum harmonic oscillator is one of the most researched and important model systems in quantum optics and quantum informatics. This system is often investigated for quantum entanglement in the environment. As a result, such studies are complex and can only be carried out using numerical methods that do not reveal the general pattern of such systems. In this work, the external environment is considered to be two independent particles interacting with coupled harmonic oscillators. It is shown that such a system has an exact analytical solution to the dynamic Schrodinger equation. The analysis of this solution is carried out, and the main parameters of this system are revealed. The solutions obtained can be used to study more complex systems and their quantum entanglement.

Automated summary

The coupled quantum harmonic oscillator, an important model system in quantum optics and quantum informatics, has been widely studied for quantum entanglement. This research demonstrates that the system of coupled harmonic oscillators interacting with two independent particles has an exact analytical solution to the dynamic Schrodinger equation, revealing the main parameters of the system.