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Physical Review A

Manipulating the retrieval of stored light pulses

Anil K. Patnaik, Fam Le Kien, K. Hakuta

Published Mar 18, 2004• 40 citations
Publisher

Abstract

We consider storage and retrieval of light based on electromagnetically induced transparency in an atomic medium using nonadiabatic switching of a control field. We derive various conditions for writing (and reading) the light information to (and from) the atomic coherence. We obtain an analytical solution for the retrieval of the stored pulse that is in excellent agreement with the full numerical results. We identify the origin of distortion at the output and derive a condition to correct the distortions by manipulating the retrieval process.

DOI
10.1103/physreva.69.035803

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We consider storage and retrieval of light based on electromagnetically induced transparency in an atomic medium using nonadiabatic switching of a control field. We derive various conditions for writing (and reading) the light information to (and from) the atomic coherence. We obtain an analytical solution for the retrieval of the stored pulse that is in excellent agreement with the full numerical results. We identify the origin of distortion at the output and derive a condition to correct the distortions by manipulating the retrieval process.
We have systematically studied the method proposed by Patnaik et al. [Phys. Rev. A 69, 035803 (2004)] that manipulates the retrieval of stored light pulses. The measured probe pulse width of the retrieval is inversely proportional to the intensity of the reading field. We also show that the method does not introduce any phase shift or jump into the retrieved pulses. Our study demonstrates that the distortion at the output of the light storage can be corrected by manipulating the retrieval process and the phase information of the stored pulses can remain intact during the process.
We have experimentally and theoretically studied the scheme of all-optical switching based on stored light pulses. In the scheme, a probe pulse is stored in the medium by the effect of electromagnetically induced transparency and a switching pulse is applied during the storage in order to turn off the probe transmission in the retrieval process. Our study takes into account the attenuation of the switching pulse induced by the stored probe pulse. The consistency between the experimental data and the theoretical predictions from the numerical calculation is satisfactory. We further derive the analytical expressions of energy losses of the probe and switching pulses. The results from the analytical expressions are in good agreement with those from the numerical calculation. Using the analytical expressions, we investigated the switching efficiency with the consideration of the Gaussian beam profile of the photon pulses and explored the feasibility of switching a single photon by another.
Electromagnetically induced transparency and light storing are discussed in the case of an atomic medium in a double $\ensuremath{\Lambda}$ configuration. A polariton description of both phenomena is systematically introduced. Analytic expressions are given which allow one to predict the shapes and phases of both the transmitted pulses and the stored and released ones as well as the atomic coherence in the storage stage. A comparison of the numerical solutions of the Maxwell-Bloch equations with the results due to the polariton model proves a strong predictive power of the latter.
We show that there is no need for adiabatic passage in the storage and retrieval of information in the optically thick vapor of Lambda-type atoms. This information can be mapped into and retrieved out of long-lived atomic coherence with nearly perfect efficiency by strong writing and reading pulses with steep rising and falling edges. We elucidate similarities and differences between the ``adiabatic'' and ``instant'' light storage techniques, and conclude that for any switching time, an almost perfect information storage is possible if the group velocity of the signal pulse is much less than the speed of light in the vacuum c and the bandwidth of the signal pulse is much less then the width of the two-photon resonance. The maximum loss of the information appears in the case of instantaneous switching of the writing and reading fields compared with adiabatic switching, and is determined by the ratio of the initial group velocity of the signal pulse in the medium and speed of light in the vacuum c, which can be very small. Quantum restrictions to the storage efficiency are also discussed.