Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Optics Communications

Quantum optics of two-level atoms in a dielectric: comparison of macroscopic and microscopic quantizations of the dielectric

Michael E. Crenshaw, Charles M. Bowden

Published Mar 1, 2002• 8 citations
Publisher
DOI
10.1016/s0030-4018(02)01139-2

Related papers

Nonlinear optical response of a dense two-level atom system embedded in a linear dielectric medium

Ka-Di Zhu, W.-S. Li

Applied Physics B•Jan 1, 2000•6 citations

The Quantum Optics of Dielectrics

Stephen Mark Barnett

•Jan 1, 1997•5 citations

On quantization of the field in dielectrics

Michael E. Crenshaw, Charles M. Bowden

The precepts behind the macroscopic and microscopic quantizations of the electromagnetic field 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.

Journal of Modern Optics•Mar 1, 2002•4 citations

Comparison of quantum and classical local-field effects on two-level atoms in a dielectric

Michael E. Crenshaw

The macroscopic quantum theory of the electromagnetic field in a dielectric medium interacting with a dense collection of embedded two-level atoms fails to reproduce a result that is obtained from an application of the classical Lorentz local-field condition. Specifically, macroscopic quantum electrodynamics predicts that the Lorentz redshift of the resonance frequency of the atoms will be enhanced by a factor of the refractive index $n$ of the host medium. However, an enhancement factor of $({n}^{2}+2)∕3$ is derived using the Bloembergen procedure in which the classical Lorentz local-field condition is applied to the optical Bloch equations. Both derivations are short and uncomplicated and are based on well-established physical theories, yet lead to contradictory results. Microscopic quantum electrodynamics confirms the classical local-field-based results. Then the application of macroscopic quantum electrodynamic theory to embedded atoms is proved false by a specific example in which both the correspondence principle and microscopic theory of quantum electrodynamics are violated.

arXiv:0805.2134•Physical Review A•Nov 26, 2008•37 citations

Quantum Optics of Atomic Systems Confined in a Dielectric Environment

M. Ducloy

Springer eBooks•Jan 1, 1998•4 citations

Quantum Optics of Dielectric Media

Roy J. Glauber, Maciej Lewenstein

NATO ASI series. Series B : Physics•Jan 1, 1989•13 citations
The macroscopic quantum theory of the electromagnetic field in a dielectric medium interacting with a dense collection of embedded two-level atoms fails to reproduce a result that is obtained from an application of the classical Lorentz local-field condition. Specifically, macroscopic quantum electrodynamics predicts that the Lorentz redshift of the resonance frequency of the atoms will be enhanced by a factor of the refractive index nnn of the host medium. However, an enhancement factor of (n2+2)∕3({n}^{2}+2)∕3(n2+2)∕3 is derived using the Bloembergen procedure in which the classical Lorentz local-field condition is applied to the optical Bloch equations. Both derivations are short and uncomplicated and are based on well-established physical theories, yet lead to contradictory results. Microscopic quantum electrodynamics confirms the classical local-field-based results. Then the application of macroscopic quantum electrodynamic theory to embedded atoms is proved false by a specific example in which both the correspondence principle and microscopic theory of quantum electrodynamics are violated.