The influence of the plasma loading on the quantum character of absorbing and dispersive cavity is investigated by the canonical quantum method of the electromagnetic field. It is shown that the loading changes the power spectrum distributions of the vacuum field fluctuations in the system.
A quantization scheme for the electromagnetic field in absorbing dielectrics developed previously is extended to cover more complicated arrangements of dielectric media and to investigate various limiting cases of the general formalism. The limiting cases include media that have vanishing imaginary parts in their dielectric functions, because either the refractive index or the extinction coefficient vanishes. The further limit of a unit real dielectric function establishes the connection of the formalism with the well-known quantized field expressions in free space. Detailed calculations are presented for the quantization in the system of two different absorbing dielectrics in contact at a plane interface and for the cavity formed in the free space between two separated absorbing dielectrics. The forms of the field operators are determined for both systems, the canonical commutation relations are verified, and the spectra of the vacuum field fluctuations are calculated and illustrated. The calculations are restricted throughout to fields that propagate perpendicular to the dielectric interfaces. \textcopyright{} 1996 The American Physical Society.
Subject of study. A scheme of quantum manipulation in a coupled optical cavity system composed of a triple-coupled optical cavity with injection of a squeezed vacuum field is proposed. Method. The scheme of quantum manipulation in a coupled optical cavity system is based on analysis of the absorption and dispersion characteristics of the reflection in the classical field and the quantum field. Main results. It was established that the absorption and dispersion of the reflection field with different coupled intensities under the classical field show different characteristics. An electromagnetic induction transparency like effect is observed as the coupled intensities increase and becomes more and more obvious as the coupled intensities increase until the absorption curve becomes completely independent due to the strong coupled intensities. The quantum noise fluctuation corresponding to the amplitude and phase of the reflection field in the quantum field also presented different characteristics. With the increase of coupled intensities, the quantum noise fluctuation curve begins to split. At the same time, the splitting of the quantum noise fluctuation curve changes from one to three, and it completely splits into three Lorentz curves finally. Practical significance. The theoretical results of the scheme demonstrated that multiple (three times) quantum manipulation can be implemented simultaneously in a device, which provides a method for quantum dense coding.
The photic field in the plane divisional uniform absorbing and dispersive dielectrics is quantized by the canonical quantum theory and the classical Green's function of the system. The concrete forms of the leftwards\|traveling and rightwards\|traveling polariton and photon operators in the dielectrics and the cavity are determined by use of the identical idea of the contrast with the homogeneous media and the vacuum case, and the quantized expressions of light field in every region are given. Results show that the polariton and the photon operators can be expressed by the forms of the media noise along the propagation with phase weight, and they are closely related to the media distribution, parameters and the light frequency.
The electromagnetic field is quantized in dielectric media that show both loss and dispersion. The complex dielectric function of the medium is assumed to be a known function and the loss is modeled by Langevin forces in the forms of noise current operators. The noise current correlation function is related to the assumed dielectric function by the fluctuation-dissipation theorem. Field quantization is carried out for the infinite homogeneous dielectric, the semi-infinite dielectric, and the dielectric slab, where the fields in the second and third cases are restricted to propagation perpendicular to the dielectric surfaces. The forms of the vector potential operator are obtained in the different spatial regions for all three geometries, and in each case the required canonical commutation relation for the vector potential and its conjugate generalized momentum operator is verified. The spatial dependence of the vacuum field fluctuations is calculated for the two dielectric geometries that have surfaces.