Optimal collection of radiation emitted by a trapped atomic ensemble
A. Kurk\'o, P. Domokos, A. Vukics, T. B{\ae}kkegaard, N.T. Zinner, J., Fort\'agh, and D. Petrosyan

TL;DR
This paper investigates how to optimally collect phase-matched photons emitted from a coherently prepared cold atomic ensemble in a harmonic trap, enhancing quantum information storage and photon retrieval efficiency.
Contribution
It introduces a method to determine optimal collection parameters for emitted photons from trapped atomic ensembles, improving mode matching with optical waveguides.
Findings
Optimal mode-matching parameters identified for photon collection.
Enhanced efficiency in quantum information transfer.
Guidelines for experimental setup in atomic ensembles.
Abstract
Trapped atomic ensembles are convenient systems for quantum information storage in the long-lived sublevels of the electronic ground state and its conversion to propagating optical photons via stimulated Raman processes. Here we investigate a phase-matched emission of photons from a coherently prepared atomic ensemble. We consider an ensemble of cold atoms in an elongated harmonic trap with normal density distribution, and determine the parameters of paraxial optics to match the mode geometry of the emitted radiation and optimally collect it into an optical waveguide.
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