Efficient Adiabatic Rapid Passage in the Presence of Noise

TL;DR

This paper investigates how noise affects the efficiency of Adiabatic Rapid Passage (ARP) in quantum systems, providing insights and conditions for maintaining high transfer efficiency despite fluctuations.

Contribution

It introduces a numerical analysis of ARP under sinusoidal noise, revealing the impact of noise parameters and establishing conditions for effective population transfer.

Findings

Efficiency is mainly affected by resonant coupling at specific noise frequencies.

A sufficient condition for high transfer efficiency is derived.

Insights into when ARP becomes ineffective due to noise.

Abstract

Adiabatic Rapid Passage (ARP) is a powerful technique for efficient transfer of population between quantum states. In the lab, the efficiency of ARP is often limited by noise on either the energies of the states or the frequency of the driving field. We study ARP in the simple setting of a two-level system subject to sinusoidal fluctuations on the energy level separation by numerically solving the optical Bloch equations in the absence of damping. We investigate the dependence of the efficiency of population transfer on the frequency and amplitude of the perturbation, and find that it is predominantly affected by resonant coupling when the detuning matches the frequency of the noise. We present intuitive principles for when ARP becomes inefficient within this model, and provide a sufficient condition for the population transfer to be above an arbitrary threshold.