Next Article in Journal
Classification of Fruit Flies by Gender in Images Using Smartphones and the YOLOv4-Tiny Neural Network
Next Article in Special Issue
Peculiar Features of Quantum Oscillator Excitation by Pulses with Different Envelopes
Previous Article in Journal
Non-Instantaneous Impulsive BVPs Involving Generalized Liouville–Caputo Derivative
 
 
Font Type:
Arial Georgia Verdana
Font Size:
Aa Aa Aa
Line Spacing:
Column Width:
Background:
Article

Coupled Harmonic Oscillator in a System of Free Particles

Department of Fundamental and Applied Physics, Northern (Arctic) Federal University, nab. Severnoi Dviny 17, 163002 Arkhangelsk, Russia
Mathematics 2022, 10(3), 294; https://doi.org/10.3390/math10030294
Submission received: 17 December 2021 / Revised: 11 January 2022 / Accepted: 17 January 2022 / Published: 18 January 2022
(This article belongs to the Special Issue Advances in Quantum Optics and Quantum Information)

Abstract

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 Schrödinger 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.
Keywords: coupled harmonic oscillator; quantum entanglement; decoherence; free particles; wave function; analytical solution coupled harmonic oscillator; quantum entanglement; decoherence; free particles; wave function; analytical solution

Share and Cite

MDPI and ACS Style

Makarov, D. Coupled Harmonic Oscillator in a System of Free Particles. Mathematics 2022, 10, 294. https://doi.org/10.3390/math10030294

AMA Style

Makarov D. Coupled Harmonic Oscillator in a System of Free Particles. Mathematics. 2022; 10(3):294. https://doi.org/10.3390/math10030294

Chicago/Turabian Style

Makarov, Dmitry. 2022. "Coupled Harmonic Oscillator in a System of Free Particles" Mathematics 10, no. 3: 294. https://doi.org/10.3390/math10030294

APA Style

Makarov, D. (2022). Coupled Harmonic Oscillator in a System of Free Particles. Mathematics, 10(3), 294. https://doi.org/10.3390/math10030294

Note that from the first issue of 2016, this journal uses article numbers instead of page numbers. See further details here.

Article Metrics

Back to TopTop