Excitation-induced modification of polariton dispersion curves in molecular media within different approaches

Abstract

Giant polarition dispersions by Frenkel excitons are derived and compared within three approaches: the boson representation, the effective Hamiltonian formalism and that based on the exact commutation relations for non-boson exciton operators. The latter approach resulted in a situation which could serve as a possible method of determining the effective dynamical exciton-exciton coupling constant by measuring dispersion curves of the polariton energy lower-branches under different levels of excitation.