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

Abstract

We map the 2+1 Dirac–Moshinsky oscillator (2+1 DMO) into the generalized Jaynes–Cummings model (GJCM), where an external magnetic field is coupled to an external isospin field. We solve analytically the basic equations of the model, where the coherent state is considered as an initial state. The results obtained show that the magnetic field strength and the coupling parameter of the isospin field play important roles when some statistical properties such as the entanglement, population inversion, and degree of coherence are considered. We show that these parameters are important for increasing the entanglement and also demonstrate the collapse and revival phenomena.