Atomic Inversion and Entanglement Dynamics for Squeezed Coherent Thermal States in the Jaynes-Cummings Model

The tussling interplay between the thermal photons and the squeezed photons is discussed. Thermal and squeezed photons are chosen to represent the ‘classical’ and ‘quantum’ noises respectively, and, they are pitted against each other in a coherent background radiation field (represented by coherent photons). The squeezed coherent thermal states (SCTS) and their photon counting distributions (PCD) are employed for this purpose. It is observed that the addition of thermal photons and squeezed photons have counterbalancing effects, by delocalizing and localizing the PCD, respectively. Various aspects of the atom-field interaction, like the atomic inversion, and entanglement dynamics in the Jaynes-Cummings model have been investigated. Particular attention is given to the study of atomic inversion and entanglement dynamics due to the addition of thermal and squeezed photons to the coherent state. The interplay of thermal photons and squeezed photons have drastic effects on the PCD, atomic inversion, and entanglement dynamics of the atom-field interaction. The thermal photons display supremacy over the squeezed photons at the level of PCD and atomic inversion. The entanglement dynamics vary from that of a coherent state to a Glauber-Lachs state. We have also studied the mixing of thermal photons and squeezed photons using coherent squeezed thermal states, for which the behaviour of PCD, atomic inversion, and entanglement dynamics are contrasting to those of squeezed coherent thermal states. The parameter ranges for these states for which the zero Hanbury Brown and Twiss correlation is exhibited are also obtained. The associated Wigner distribution functions are also discussed.