Multipulse storage and manipulation via solitonic solutions

TL;DR

This paper demonstrates how solitonic solutions to Maxwell-Bloch equations enable precise multipulse storage and manipulation in a $ ext{Lambda}$ system, advancing quantum information control techniques.

Contribution

It introduces a method using Darboux transformation and superposition principles for complete control of signal pulses in a $ ext{Lambda}$ system, including multipulse storage and manipulation.

Findings

Complete control of signal pulses via auxiliary control pulses.

Multipulse storage is feasible with well-separated imprints.

The approach allows encoding and manipulating multiple pulses.

Abstract

Solutions to the Maxwell-Bloch equations for a $\Lambda$ system are computed using the single-soliton Darboux transformation and the nonlinear superposition principle. These allow complete control of information deposited by a signal pulse (with the help of an auxiliary control pulse) in the coherence of the medium's ground states by injecting sub-sequential pulses. Additionally, we study the encoding of two signal pulses and their manipulation by a control pulse and show that multipulse storage and control are possible as long as the imprints made by encoding the signal pulses are sufficiently separated.