Excitons and polaritons in quasi-molecular eigenbasis of the excitation hopping system interacting with a photon field

Abstract

We report studies of excitons and polaritons in the quasi-molecular eigenbasis of a nano-aggregate, in the model of excitation transfer with, or without, photon-exciton coupling. We evaluate the effective interaction between quasi-molecular subsystems in quasi-molecular eigenbasis representation, with its eigenenergies and eigenstates. From the analysis of the effective interaction Hamiltonian in the quasi-molecular eigenbasis representation, we see that the effective interaction between subsystems in quasi-molecular eigenbasis representation gives fertile points of view to understand the given system, and the dynamics of excitons and polaritons becomes simpler to understand, or to deal with, depending on the division of the whole system into specified subsystems.