Radiative atom-atom interactions in optically dense media: Quantum corrections to the Lorentz-Lorenz formula

  • Abstract: Generalized single-atom Maxwell-Bloch equations for optically dense media are derived taking into account non-cooperative radiative atom-atom interactions. Applying a Gaussian approximation and formally eliminating the degrees of freedom of the quantized radiation field and of all but a probe atom leads to an effective time-evolution operator for the probe atom. The mean coherent amplitude of the local field seen by the atom is shown to be given by the classical Lorentz-Lorenz relation. The second-order correlations of the field lead to terms that describe relaxation or pump processes and level shifts due to multiple scattering or reabsorption of spontaneously emitted photons. In the Markov limit a non-linear and nonlocal single-atom density matrix equation is derived. To illustrate the effects of the quantum corrections we discuss amplified spontaneous emission and radiation trapping in a dense ensemble of initially inverted two-level atoms and the effects of radiative interactions on intrinsic optical bistability in coherently driven systems.

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Metadaten
Verfasserangaben:Michael Fleischhauer, Susanne F. Yelin
URN (Permalink):urn:nbn:de:hbz:386-kluedo-12129
Dokumentart:Preprint
Sprache der Veröffentlichung:Englisch
Jahr der Fertigstellung:1998
Jahr der Veröffentlichung:1998
Veröffentlichende Institution:Technische Universität Kaiserslautern
Datum der Publikation (Server):02.07.2001
Fachbereiche / Organisatorische Einheiten:Fachbereich Physik
DDC-Sachgruppen:5 Naturwissenschaften und Mathematik / 53 Physik / 530 Physik
Lizenz (Deutsch):Standard gemäß KLUEDO-Leitlinien vor dem 27.05.2011

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