Abstract
The authors derive analytical expressions for secondary echoes formed under the two-pulse excitation of the optically dense media developing McCall-Hahn area theorem for echo effects. They find that a series of self-reviving echo signals with a total area of 2$\ensuremath{\pi}$ or 0$\ensuremath{\pi}$ is excited and propagates deep in the media demonstrating strong non-linear nature of light-matter interaction at small changes of second pulse area. The pulse area approach paves the way for precise coherent spectroscopy, the study of different photon echoes and quantum control of light pulses in the optically dense media.
Highlights
Studies of coherent multipulse nonlinear effects such as photon echo and four-wave mixing open wide opportunities for understating light-atom interactions, fundamental processes of nonlinear and quantum optics, provide powerful techniques for spectroscopic investigation of atoms and molecules, and are considered as a principal tool for implementation of basic processes in practical quantum information science [1,2,3,4,5]
We find that a series of self-reviving echo signals with a total area of 2π or 0π is excited and propagates in the media depth, with each pulse having an individual area less than π
The developed pulse-area approach paves the way for more precise coherent spectroscopy, studies of different photon echo signals, and quantum control of light pulses in the optically dense media
Summary
The developed pulse-area approach paves the way for more precise coherent spectroscopy, studies of different photon echo signals, and quantum control of light pulses in the optically dense media. A previously acquired solution for the primary echo pulse area predicted that the echo pulse area never exceeds π and generally decays in the depth of the media [38] This finding again stressed the ambiguity of the known physical picture behind the formation of the total nonlinear response to the multipulse excitation. In recent years the stakes were raised by the demand for an efficient optical solid-state quantum memory and the noted interest in coherent multipulse interactions in the optically dense media In this Rapid Communication we find an analytical solution of the photon echo pulse area theorem posed in Refs. Being near the threshold, when the incoming area of the second pulse is close to π , and by slightly changing it to being π , one can initiate a huge change in the outcome from an optical soliton
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