Abstract: The Pancharatnam phase’ properties of two coupling-atoms and a single-mode squeezed state light field in nonlinear Kerr mediumwere studied. Selecting proper initial conditions to solve the Schrodinger equation by the rotating wave approximation. Then, we got the pancharatnam phase’ specific form. The results show that no matter the two coupling-atoms’ initial states are in any form, the pancharatnam phase’ frequency increases when the interaction strength between atoms and light field, the dipole-dipole coupling strength between two atoms or the Kerr medium's nonlinearity increases. The Pancharatnam phase’ evolution shows obvious trend of oscillating and rising(or fall) when the initial state is that two atoms both in the excited states. As the growth of the kerr medium’ nonlinearity, the Pancharatnam phase’ evolution become confusion when the initial state is that just one atom in excited state.

Key words: quantum optics, Pancharatnam phase, Tavis-Cummings model, squeezed state light field, Kerr medium