Abstract

We show how slow-light pulse delays in realistic electromagnetically-induced-transparency (EIT) media can be determined directly from static transmission spectra. Using only the measured EIT linewidth and off-resonant transmission, the absolute delay of a slow-light pulse in an optically thick, power-broadened medium can be simply and accurately determined, while capturing more complex optical pumping behavior.

Highlights

  • We show how slow-light pulse delays in realistic electromagnetically-induced-transparencyEITmedia can be determined directly from static transmission spectra

  • Slow light from electromagnetically-induced transparencyEIThas many potential applications, including photonic delay lines1͔, interferometry2,3͔, quantum memories4͔, and atomic spectroscopy5͔. These applications benefit from long pulse delay times, which arise from a reduced group velocity associated with steep dispersion from an atomic4,6–10͔ or optical11–16͔ resonance

  • The laser field was circularly polarized with a quarter-wave plate and expanded and shaped with a telescope and iris to approximate a flat-top profile with diameter 3.5 mm; this minimizes reshaping of the EIT resonance from an otherwise Gaussian transverse profile24͔

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Summary

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Slow light from electromagnetically-induced transparencyEIThas many potential applications, including photonic delay lines1͔, interferometry2,3͔, quantum memories4͔, and atomic spectroscopy5͔ These applications benefit from long pulse delay times, which arise from a reduced group velocity associated with steep dispersion from an atomic4,6–10͔ or optical11–16͔ resonance. We show that a simple realistic model of EIT spectra allows accurate prediction of slow-light pulse delay from two measurable parameters: the linewidth and off-resonant transmission level on a logarithmic scale. EIT is a two-optical-field phenomenon in which a strong control field renders an otherwise absorbing medium transparent to a weak signal field via quantum interference between two alternate excitation paths from the ground to excited state20͔ Both static line shapes21͔ and dynamic behavior22,23͔ may be straightforwardly calculated. We extract model parameters from the three-level-atom absorption resonance and determine the group velocity and effective optical depth, which together determine the absolute pulse delay. Based on a first-principles dark-state polariton model of propagation in a three-level EIT medium, the maximum delay ␶max for a pulse with bandwidth much smaller than the width of the power-broadened EIT resonance is given by22,23͔

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Findings
Laser in te n s ity

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