Abstract
A many particle quantum-kinetic formalism is suggested to derive the Maxwell-Bloch-type equations which describe the interaction of quantum emitters with light in a frozen dielectric. It is shown that the quantum-kinetic formalism can meet the concept of local variations of dielectric properties and their influence on the emitter. The definitions of the local response and the effective refractive index in macroscopically homogeneous media are discussed.
Highlights
This research is focused on the properties of quantum light emitters embedded in a host material with likely local inhomogeneities in the presence of an external cw-laser beam
The mathematical tools used in laser physics, nonlinear and quantum optics, and other research related to interaction of radiation with the matter is largely based on an analysis of Maxwell-Bloch (MB) equations
There has been a limited number of papers suggesting MB equations derived in a consistent manner and which include the effective values of all parameters: the Rabi frequency, transition frequency shifts and the rates of relaxation/excitation mechanisms [1, 2]
Summary
This research is focused on the properties of quantum light emitters embedded in a host material with likely local inhomogeneities in the presence of an external cw-laser beam. The mathematical tools used in laser physics, nonlinear and quantum optics, and other research related to interaction of radiation with the matter is largely based on an analysis of Maxwell-Bloch (MB) equations. There has been a limited number of papers suggesting MB equations derived in a consistent manner and which include the effective values of all parameters: the Rabi frequency, transition frequency shifts and the rates of relaxation/excitation mechanisms (including spontaneous emission and dipole-dipole interactions) [1, 2].
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