Photon echo in ring cavity: pulse area approach

TL;DR

This paper extends the pulse area approach to analyze photon and spin echoes in ring cavities, providing a theoretical framework for understanding echo generation regimes and conditions for quantum memory protocols.

Contribution

It develops a pulse area theorem for photon/spin echoes in optical and microwave cavities, enabling analytical predictions of echo magnitudes and regimes.

Findings

Predicts relative echo magnitudes in cavity systems

Identifies conditions for single- and multi-pulse echo regimes

Provides analytical tools for quantum memory protocols

Abstract

Pulse area approach has been established as a versatile analytical tool for studying the resonant interaction between the light and the resonant atomic ensemble. In recent years photon and spin echoes in cavity assisted schemes become increasingly interesting. In this article we develop the photon echo pulse area approach to describe primary and multi-pulse echo generation in the atomic ensemble placed in the ring cavity. We show that the pulse area approach predicts relative echo magnitudes and whether the system is operating in a single- or a multi-pulse generation regime. We also analyze the conditions needed for the realization of these generation regimes. This work develops the pulse area theorem approach for analytical study of photon/spin echoes in optical and microwave cavities and echo based protocols of quantum memory.