Pancharatnam Phase Properties Of Nonlinear Tavis-cummings Model With The Light

In this paper, the Pancharatnam Phase’s evolution of two types of Tavis-Cummings models have been studied. The first form of Tavis-Cummings model isthat one photon is created or absorbed, and the second form of Tavis-Cummingsmodel is that two photons are created or absorbed. We use the single-mode squeezedstate light field and the influence of the nonlinear Kerr medium is considered. The twotwo-level atoms have three kinds of initial states, the first one is that two atoms areboth in the excited state, the second one is that the two atoms are both in the groundstate, the third one is that one atom is in the excited state, the other one is in theground state. Firstly, we discuss the Tavis-Cummings model with one photon iscreated or absorbed, then go to the Tavis-Cummings model with two photons arecreated or absorbed. We choose different kinds of initial states to obtain thepancharatnam phase’ specific form by solving the Schr dinger equation with therotating wave approximation, then plot the picture of Pancharatnam phase’ evolutionby numerical calculation. Then, we analyze the pancharatnam phase’s evolution withthe Kerr medium’ nonlinearity, the dipole-dipole coupling strength between atoms andthe interaction strength between light field and atoms. The consequence shows thatthe pancharatnam phase’ frequency grows by adding the different parameters whenthe atoms in different initial states. The increase of Kerr medium’ nonlinearity willlead to the confusion of the pancharatnam phase’s evolution. The laws ofTavis-Cummings model with one photon is created or absorbed and the laws ofTavis-Cummings model with two photons are created or absorbed are often similar,but sometimes the laws’ difference are very large.