Abstract: We considered the entanglement properties of multiphoton transition in the linear and nonlinear Kerr medium with JaynesCummings (J\|C) model. We gave the analytical relationship between the transition photon numbers, detuning quantity, initial photon numbers, initial state parameter, nonlinear coefficient and the entanglement degrees of atoms and light fields, and analyzed its effect on the entanglement degrees of atoms and light fields with time evolution. The results show that when the initial state is close to the maximum entangled state in the nonlinear Kerr medium, and the transition photon numbers are large, the entangled state is more stable near the maximum entangled state, which is beneficial to the longdistance transmission of quantum entangled states.

Key words: nonlinear JaynesCummings (JC) model, Kerr medium, multiphoton transition, quantum entanglement degree