Environment-induced disentanglement of the Einstein-Podolsky-Rosen system

We study the entanglement dynamics of the Einstein, Podolsky and Rosen (EPR) system in which two spatially separated particles are coupled with their own cavity field. The environment-induced entanglement sudden death depends on the parameters of an initial entangled state and a mean photon number as well. We moreover investigate the time-evolution behaviour for both concurrence and energy transfer between the EPR particles and the environment, from which it is found that the maximal concurrence indeed corresponds to the minimal energy of the EPR system. However, their time variations are neither in one-to-one correspondence nor in step. In particular, when the state of two particles becomes disentangled, the time variation of energy transfer still exists