Coherent light propagation through cold atomic clouds beyond the independent scattering approximation

Abstract

We calculate the relative permittivity of a cold atomic gas under weak probe illumination, up to second order in the density. Within the framework of a diagrammatic representation method, we identify all the second order diagrams that enter into the description of the relative permittivity for coherent light transmission. These diagrams originate from pairwise position correlation and recurrent scattering. Using coupled dipole equations, we numerically simulate the coherent transmission with scalar and vector waves, and find good agreement with the perturbative calculations. We applied this perturbative expansion approach to a classical gas at rest, but the method is extendable to thermal gas with finite atomic motion and to quantum gases where non-trivial pair correlations can be naturally included.

References in corpus (5)

• Coherent Scattering of Near-Resonant Light by a Dense, Microscopic Cloud of Cold Two-Level Atoms: Experiment versus Theory
• Transmission of near-resonant light through a dense slab of cold atoms
• Cooperative Emission of a Coherent Superflash of Light
• Decay dynamics in the coupled-dipole model
• Collective Mode Interferences in Light--Matter Interactions

Cited by in corpus (10)

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• The dependent scattering effect on radiative properties of micro/nanoscale discrete disordered media
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• Bistable optical transmission through arrays of atoms in free space
• Transport of light through a dense ensemble of cold atoms in a static electric field
• Resonant light scattering by a slab of ultracold atoms
• Resonant forward-scattered field in the high-saturation regime: Elastic and inelastic contributions
• Propagation of light in cold emitter ensembles with quantum position correlations due to static long-range dipolar interactions
• Mean-Field Description of Cooperative Scattering by Atomic Clouds