# Effect of an External Magnetic Field on Some Statistical Properties of the 2+1 Dirac-Moshinsky Oscillator

## TL;DR

This paper investigates how an external magnetic field influences the statistical properties of the 2+1 Dirac-Moshinsky oscillator, revealing the roles of magnetic strength and isospin coupling in entanglement and coherence phenomena.

## Contribution

It analytically maps the 2+1 Dirac-Moshinsky oscillator to the generalized Jaynes-Cummings model with magnetic coupling, exploring effects on statistical properties.

## Key findings

- Magnetic field strength affects entanglement levels.
- Coupling parameter influences collapse and revival phenomena.
- Statistical properties are tunable via external magnetic and isospin parameters.

## Abstract

The 2+1 Dirac-Moshinsky oscillator ( 2+1 DMO ) is mapped into the generalized Jaynes-Cummings model (GJCM), in which an external magnetic field is coupled to an external isospin field. The basic equations of model are analytically solved, where the coherent state is considered as an initial state. The obtained results show that the strength of the magnetic field and the coupling parameter of the isospin field play important roles on some statistical properties such as entanglement, population inversion and degree of coherence. It has been shown that these parameters play a rule to increase entanglement and show the collapses and revivals phenomenon.