Theory of Thermal Motion in Electromagnetically Induced Transparency: Diffusion, Doppler, Dicke and Ramsey

Abstract

We present a theoretical model for electromagnetically induced transparency (EIT) in vapor, that incorporates atomic motion and velocity-changing collisions into the dynamics of the density-matrix distribution. Within a unified formalism we demonstrate various motional effects, known for EIT in vapor: Doppler-broadening of the absorption spectrum; Dicke-narrowing and time-of-flight broadening of the transmission window for a finite-sized probe; Diffusion of atomic coherence during storage of light and diffusion of the light-matter excitation during slow-light propagation; and Ramsey-narrowing of the spectrum for a probe and pump beams of finite-size.

Reference added, typos corrected

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• Entanglement of Atomic Ensembles by Trapping Correlated Photon States
• Investigation of microwave transitions and nonlinear magneto-optical rotation in anti-relaxation-coated cells
• Transfer and storage of vortex states in light and matter waves
• Diffusion-induced Ramsey narrowing
• Coherent Control of Stationary Light Pulses
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• Theory of Dicke narrowing in coherent population trapping
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• Coherent Diffusion of Polaritons in Atomic Media
• Demonstration of double EIT using coupled harmonic oscillators and RLC circuits
• Self-induced transparency in warm and strongly interacting Rydberg gases
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• Transverse drag of slow light in moving atomic vapor
• How to measure diffusional decoherence in multimode rubidium vapor memories?
• EIT-Based Quantum Memory for Single Photons from Cavity-QED
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• Universal Spectra of Coherent Atoms in a Recurrent Random Walk
• Diffusion Effects in Gradient Echo Memory
• Angular dependency of spatial frequency modulation in diffusion media
• Continuous generation of delayed light
• Fast and Accurate Method for Doppler Averaging of Rydberg EIT Signals