Photon echo in nonlinear processes

Igor V. Yevseyev, Valery M. Yermachenko

Yu-Wen Kuo, Monish R. Chatterjee

Photon echoes, which belong among a class of nonlinear optical wave mixing phenomena, are finding increasing interest in terms of fast optical storage and processing, both dynamic as well as long-term [1].

Norman A. Kurnit, Sven R. Hartmann

S. A. Moiseev, R. V. Urmancheev

The pulse area theorem is a well-known versatile analytical tool for capturing the general nonlinear nature of light propagation in a two-level medium. Here we derive the pulse area theorem for the photon/spin echo signal generated in a one-side cavity. The obtained analytical solutions for primary and secondary echo pulse areas allow us to describe the nonlinear patterns of the photon/spin echo signals in an atomic ensemble in a cavity. The developed approach and the obtained results constitute an important step in the study of the general properties of the photon/spin echo in optical and microwave cavities expanding applications of the photon echo in coherent spectroscopy, quantum memory, and processing.

V. M. Akulin, Nikolai V. Karlov

Баруздин Сергей Анатольевич

The excitation of stimulated echo by two pulses of Gaussian white noise, which are originated from a single source and short coherent pulse is considered. The present work studies the nonlinear properties of average amplitude of the echo as function of the spectral power density. The mean value of the complex envelope of the echo is obtained by solving stochastic Bloch equations in Stratonovich sense. The results can be used for analysis of nonlinear excitation characteristics based on saturation effect in photon and spin processors.