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Conference on Lasers and Electro-Optics

Two views of absorbative photon exchange effects

G. G. Lapaire, Kevin J. Resch, Jeff S. Lundeen, Aephraim M. Steinberg, John E. Sipe

Published Jan 1, 2004• 0 citations
Publisher

Abstract

The problem of photon-pair transmission through an absorbing medium is discussed using two different approaches, a perturbative Fermi’s Golden Rule calculation and a calculation using photon wavefunction description. The two approaches produce identical results regarding the two-photon absorption characteristics, despite their conceptual differences.

DOI
10.1364/iqec.2004.itui4

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Abstract The chapter « Photon absorption » tackles a fundamental question: as excitons with a given center-of-mass wave vector are well separated in energy at the exciton Rydberg scale, while the Fermi golden rule requires a final-state continuum to be valid, photons cannot be absorbed in a semiconductor along this rule. An extrinsic exciton broadening must exist for photons to be absorbed. This chapter also discusses the possibility to go beyond the Fermi golden rule, as this rule fundamentally is second order in coupling.
We consider the application of Fermi's golden rule to the problem of N atoms, one of which is excited, in an extended medium with dimensions that are large compared with the wavelength. We find that, in contrast to an often-voiced opinion, the golden rule does not describe the physics of one photon absorbed and subsequently emitted by N atoms. The correct treatment includes many-body effects such as Fano interference. For a finite atomic cloud with size R, in the Markovian limit, the system will decay exponentially at a rate of around N(λ2/R 2) faster than the single-atom decay rate.