Lorentz local-field effects on spontaneous emission in dielectric media

Crenshaw, Michael E.; Bowden, Charles M.

doi:10.1103/physreva.63.013801

Cited by 20 publications

(25 citation statements)

References 22 publications

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“…We can replace the multilevel medium atom with a two-level atom model because all transitions of medium atoms are not at resonance with the external field. We show below that in this case, their contribution to the permittivity is additive, and the medium atoms can be replaced with the model of the effective two-level atom [5]. We consider the atom-field interaction in the framework of the electric dipole approximation.…”

Section: Main Equationsmentioning

confidence: 98%

Using BBGKY hierarchies to study the effect of the local field on the rate of radiative relaxation of quantum systems in a dielectric medium

2011

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We consider a model of atomic radiators in a dielectric medium and its optical characteristics. In the framework of the microscopic approach and the Bogolyubov-Born-Green-Kirkwood-Yvon method, we obtain a chain of coupled equations for reduced density matrices and correlation operators of atomic particles and modes of a quantized field. We derive a closed system of equations describing the evolution of radiators in the model medium under the action of external radiation. We calculate the effective spontaneous relaxation rate in the presence of the local field produced by the medium. For the first time, we demonstrate the relation between micro and macro approaches to the solution of the problem involving a change in the spontaneous radiation rate in the medium.

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Section: Main Equationsmentioning

confidence: 98%

Using BBGKY hierarchies to study the effect of the local field on the rate of radiative relaxation of quantum systems in a dielectric medium

2011

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“…The corresponding constant within the prevailing LorentzLorentz model is α = 4π/3. Applicability of this model within framework of the quantum-electrodynamic description was demonstrated in [47] for the two-level medium.…”

Section: Introductionmentioning

confidence: 97%

“…That formula (2) includes a term proportional to the parameter α is connected with the allowance for the energy of the near dipole-dipole interaction in a polarized medium [45][46][47]. The procedure of isolating the energy of quasistatic interaction of elementary dipoles within the Hamiltonian of the "field+medium" system is described in depth in [48] for an ensemble of magnetic dipoles.…”

Section: Introductionmentioning

confidence: 99%

Anisotropy-Induced Transparency in Optically Dense Media

Tokman

Erukhimova

2015

Radiophys Quantum El

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The effect of anisotropy-induced transparency, which is analogous to electromagnetically induced transparency in the three-level medium located in a resonance field, is predicted and studied theoretically. This effect is connected with destructive interference between oscillations in different degrees of freedom of an anisotropic medium, which are connected with each other, as radiation propagates at an angle to one of the optical axes in a triaxial or uniaxial crystal. In this case, a hybrid-type polariton is formed in the "transparency window," which combines the quasilongitudinal polarization with the "vacuum" refractive index. Such a wave is excited easily by radiation incident from the vacuum and should have enhanced impedance of coupling with active or nonlinear elements, which can be useful for the creation of small-size optical systems. Due to the interest in quantum-optical effects displayed recently, the regime of anisotropy-induced transparency is considered within the framework of the quantum theory of radiation in an optically dense medium.

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“…Equations of motion are derived for two-level atoms embedded in a dielectric utilizing (i) macroscopic quantization of the Maxwell equations in ponderable media and (ii) microscopic quantization of the Maxwell equations in vacuum with enumerated discrete oscillators [7,8]. There are substantial qualitative di erences in the results of the two techniques that are due to the di erence between the continuum and atomistic models of electrodynamics in matter.…”

Section: Introductionmentioning

confidence: 99%

On quantization of the field in dielectrics

Crenshaw

Bowden

2002

Journal of Modern Optics

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The precepts behind the macroscopic and microscopic quantizations of the electromagnetic ®eld in a dielectric are discussed. Using the correspondence principle, it is demonstrated that the macroscopic quantization procedure leads to incorrect equations of motion of embedded two-level atoms. The fundamental nature of the Lorentz viewpoint of electrodynamics is discussed. IntroductionThe foundation of the quantum theory of radiation, due principally to Dirac, is the quantization of Maxwell's equations in a vacuum wherein each mode of the radiation ®eld is associated with a quantized simple harmonic oscillator [1]. Following the initial quantization of the electromagnetic ®eld in a vacuum, it was natural to extend the quantization procedure to the electromagnetic ®eld in a dielectric. Quantization of linear dielectrics, begun in the 1940s by Ginzburg [2] and Jauch and Watson [3], has since become textbook material [4]. For over 50 years, then, the macroscopic Maxwell equations of classical continuum electrodynamics have been used as the basis for quantizing the electromagnetic ®eld in a dielectric [5]. Matter, however, is not a continuous medium, but is composed of discrete particles embedded in the vacuum. This fact was recognized by Lorentz, who gifted us an atomistic version of electrodynamics in which the electromagnetic ®eld, which is rooted in the vacuum, interacts with charges that are attached to the atomistic particles of matter that, in turn, generate reaction ®elds [6]. Nevertheless, Lorentz's fundamental results generally have been treated as a way of correcting the error introduced by the approximation of continuous media.In this article, it is proved that quantization of the Maxwell equations of continuum electrodynamics is incompatible with fundamental quantum mechanical principles. Equations of motion are derived for two-level atoms embedded in a dielectric utilizing (i) macroscopic quantization of the Maxwell equations in ponderable media and (ii) microscopic quantization of the Maxwell equations in vacuum with enumerated discrete oscillators [7,8]. There are substantial qualitative di erences in the results of the two techniques that are due to the di erence between the continuum and atomistic models of electrodynamics in matter. It is contended, therefore, that the macroscopic quantization of the ®eld in a dielectric

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Lorentz local-field effects on spontaneous emission in dielectric media

Cited by 20 publications

References 22 publications

Using BBGKY hierarchies to study the effect of the local field on the rate of radiative relaxation of quantum systems in a dielectric medium

Using BBGKY hierarchies to study the effect of the local field on the rate of radiative relaxation of quantum systems in a dielectric medium

Anisotropy-Induced Transparency in Optically Dense Media

On quantization of the field in dielectrics

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