Single-photon pulse propagation in and into a medium of two-level atoms: Microscopic Fresnel Equations
Document Type
Article
Publication Date
1-1-2011
Abstract
The propagation of an off-resonant, single-photon pulse in and into a medium of two-level atoms is considered. When the pulse is launched from within the medium, there are two propagation speeds, neither of which is the normal group velocity. For densities as small as 10(11) atoms/cm(3) and detunings of order 10(11) s(-1), both propagation speeds approach one half the speed of light in vacuum. Moreover, rather remarkably, there are Rabi oscillations between the field and atomic excitation, even for this single-photon pulse. In contrast, for a pulse sent into the medium, the atom-field system remains adiabatically in a dressed state that propagates with the normal group velocity. In the limit that the index of refraction is approximately equal to unity, we obtain the Fresnel equations for the reflection and transmission coefficients based on this microscopic model. The transmission coefficient differs from the conventional result owing to the fact that we quantize the field in free space.
Keywords
Microscopic Fresnel Equations, off-resonant, Rabi oscillations, Fresnel equations
Divisions
PHYSICS
Publication Title
Physical Review A
Volume
84
Issue
6
Publisher
American Physical Society
Additional Information
Department of Physics, Faculty of Science Building, University of Malaya, 50603 Kuala Lumpur, MALAYSIA