Pulse area theorem in a single mode waveguide and its application to photon echo and optical memory in Tm3+:Y3Al5O12

TL;DR

This paper derives a pulse area theorem for light in single-mode waveguides, applies it to photon echo and quantum memory protocols, and demonstrates the first implementation of ROSE protocol in a Tm:YAG waveguide with theory-experiment agreement.

Contribution

The paper introduces a generalized pulse area theorem for waveguide interactions and demonstrates the first experimental realization of the ROSE protocol in a Tm:YAG waveguide.

Findings

Analytical solution for Gaussian modes shows differences from plane wave pulses.

Successful implementation of ROSE protocol in a single-mode waveguide.

Experimental results align with the developed theoretical model.

Abstract

We derive the area theorem for light pulses interacting with inhomogeneously broadened ensemble of two-level atoms in a single-mode optical waveguide and present its analytical solution for Gaussian-type modes, which demonstrates the significant difference from the formation of $2\pi$ pulses by plane waves. We generalize this theorem to the description of photon echo and apply it to the two-pulse (primary) echo and the revival of silenced echo (ROSE) protocol of photon echo quantum memory. For the first time, we implemented ROSE protocol in a single-mode laser-written waveguide made of an optically thin crystal $Tm^{3+}:Y_3Al_5O_{12}$. The experimental data obtained are satisfactorily explained by the developed theory. Finally, we discuss the obtained experimental results and possible applications of the derived pulse area approach.