Analytical solution and entanglement swapping of a double JaynesCummings model in non-Markovian environments
Analytical solution and entanglement swapping of a double JaynesCummings model in non-Markovian environments are investigated by the time convolution less master equation method. We obtain the analytical solution of this model and discuss in detail the influence of atomcavity coupling, non-Markovian effect and initial state purity on entanglement dynamics. The results show that in the non-Markovian environments, the entanglement between two cavities can be swapped to other bipartite subsystems by interaction between an atom and its own cavity. Due to the dissipation of environment, the entanglements of all bipartite subsystems will eventually decay to zero when the atom couples weakly to its cavity and the non-Markovian effect is also weak. All bipartite subsystems can tend to steady entanglement states if and only if there is the strong atomcavity coupling or the strong non-Markovian effect. The steady state of the subsystem composed of an atom and its own cavity is independent on the purity, but the steady states of other bipartite subsystems are dependent on the purity.
analytical solution entanglement swapping double jaynescummings model non-markovian environment