Dynamics of photoinduced phonon entanglement generation between remote electron-phonon systems

The generation of phonon entanglement between photoirradiated remote systems is numerically studied. Analysis by the quantum mutual information reveals that laser pulse irradiation induces phonon entanglement with a certain incubation period, which is determined by the creation time of phonons. This behavior is consistent with the motion of composite modes of the system, which are derived from the Heisenberg equation of motion for the amplitude operator of the Stokes light. These results show that the dynamics of the phonon entanglement can be observed by time-resolved spectroscopy.