Eur. Phys. J. Plus (2015) 130: 227
https://doi.org/10.1140/epjp/i2015-15227-9

Regular Article

Quantum statistical characteristics of the interaction between two two-level atoms and radiation field

¹ Mathematics Department, College of Science, King Saud University, P.O. Box 2455, 11451, Riyadh, Saudi Arabia
² Mathematics Department, Faculty of Science, Taif University, P.O. Box 888, Taif 21974, Saudi Arabia
³ Mathematics Department, Faculty of Science, Al-Azhar University, 11884, Nasr City, Cairo, Egypt
⁴ Department of Optics and Joint Laboratory of Optics of Palacký University and Institute of Physics of AS CR, Faculty of Science, Palacký University, 17. listopadu 12, 771 46, Olomouc, Czech Republic
⁵ Joint Laboratory of Optics of Palacký University and Institute of Physics of Physics of Academy of Sciences of the Czech Republic, 17. listopadu 50a, 771 46, Olomouc, Czech Republic

^* e-mail: m.sebaweh@physics.org

Received: 12 February 2015
Accepted: 28 September 2015
Published online: 12 November 2015

Abstract

A quantum optics model is considered where the cavity field interacts with two coupled atoms. The time-dependent wave function is obtained and used to derive the density matrix from which we discussed some statistical properties for the present system. The atom-atom entanglement, atoms-cavity entanglement, entropy and variance squeezing, the Pegg-Barrnet phase and the fidelity are discussed with the effects of the initial conditions, atom-atom coupling and the detuning parameter displayed. It is shown that an increase in the value of the atom-atom coupling parameter leads to an increase in the degree of entanglement. Numerical results show that under some conditions the phenomena of entanglement and the collapses and the revivals emerge. Nonclassical properties are demonstrated by means of the field quantum statistical characteristics, such as photon-number distribution, Husimi, Wigner and Glauber-Sudarshan quasidistributions and the corresponding variances.