Photon statistics and quantum field entropy in the anti-jaynes-cummings model: a comparison with the jaynes-cummings interaction

A clear comparison of photon statistics through analysis of time evolution of the Mandel parameter during the anti-Jaynes-Cummings interaction and the well known Jaynes-Cummings interaction when a two-level atom in an initial ground state interacts with a field mode in an initial coherent state is provided. In some limits of sum frequency parameter and mean photon number during the anti-Jaynes-Cummings interaction, the field is purely sub-Poissonian. In the contrary, within the corresponding limits of frequency detuning, photon statistics during the corresponding Jaynes-Cummings interaction is dominantly super-Poissonian consistent with earlier results. When variation of frequency detuning and the corresponding sum frequency is considered during the Jaynes-Cummings, anti-Jaynes-Cummings interactions respectively, time-evolution of field entropy is of the same form but at arbitrary low residual field mode frequency values, the anti-Jaynes-Cummings interaction displayed slightly higher degree. As visualised, an increase in frequency detuning during the Jaynes-Cummings process resulted in a decrease in the field entropy, just like when the corresponding sum frequency is raised during the anti-Jaynes-Cummings interaction.