Physical Properties, Field Purity, and Quantum Phase for a Two-Level Atom in Photon-Added Coherent States for the Morse Potential

In this paper, we consider a two-level atom (TLA) interacting with a field mode, which is initially in the photon-added coherent state for the Morse potential (PACSMP). We investigate the dynamical behavior of quantum entropy, the geometric phase, and the Mandel parameter and discuss the statistical and nonclassical properties of the field with regards to its PACSMP through the evolution of the Mandel parameter. We examine the effects of the number of added photons, the initial-state setting, and the Morse-potential parameters. We establish the relationship between the field purity, nonclassical properties, and geometric phase of the system state during the time evolution. The results show that the numbers of added photons and CSMP strength have the potential to affect the time evolution of the field purity, the geometric phase, and the Mandel parameter. We explore some important physical phenomena such as sudden death and sudden birth of the nonlocal correlation between TLA and field systems.