Dynamics of an exactly solvable model of cavity quantum electrodynamics

A system consisting of two identical qubits not-resonantly interacting with a thermal quantum field of a lossless resonator with a Kerr media via degenerate two-photon transition is considered. An exact solution of the quantum Liouville equation for the total density matrix of the considered system is obtained. To solve the quantum evolution equation we used the dressed states representation. The complete set of dressed states is found. The exact solution of the quantum Liouville equation is used to calculate the time dependencies of qubit-qubit entanglement parameter (negativity) for Bell type entangled qubits states. The results showed that Kerr nonlinearity can diminish the amplitudes of the Rabi oscillations of entanglement parameter and suppress the effect of sudden death of entanglement.