Photon localization and tunneling in a disordered nanostructure

A simple but flexible 2D lattice model is proposed to discuss localization and tunneling of a dressed photon in disordered nanomaterial systems. It is shown that a 1D finite disordered system with site-dependent masses is obtained after the contraction from 2D to 1D. A dressed photon description for a photon-electronic polarization-phonon interacting system is used to examine the spatial distribution of a dressed photon associated with coherent phonons in such a system. The temporal and tunneling behaviors of a dressed photon between two closely separated nanosystems are also investigated numerically. The model proposed is applicable to an arbitrary shape of nanostructure, and photon localization and tunneling inherent in the shape of the nanostructure is expected to be applied to the local manipulation of quantum states of nanostructure in excitation transfer processes, including spin and phonon degrees of freedom.