Beyond Photon Shot Noise: Chemical Limits in Spectrophotometric Precision

TL;DR

This paper explores the fundamental chemical limits to spectrophotometric precision, revealing how chemical reactions influence measurement sensitivity and surpass photon shot noise constraints using advanced theoretical analysis.

Contribution

It introduces a novel theoretical framework that incorporates chemical processes into spectrophotometric sensitivity analysis, extending beyond traditional photon shot noise limits.

Findings

Phase measurements are more sensitive than intensity measurements.

Sensitivity exhibits three regimes: photon-shot-noise limited, chemically limited, and intermediate.

Sensitivity shows a turnover as a function of reaction rate due to electronic and chemical dynamics interplay.

Abstract

In this work, we investigate precision limitations in spectrophotometry (i.e., spectroscopic concentration measurements) imposed by chemical processes of molecules. Using the recently developed Photon-resolved Floquet theory, which generalizes Maxwell-Bloch theory for higher-order measurement statistics, we analyze a molecular model system subject to chemical reactions whose electronic and optical properties depend on the chemical state. Analysis of sensitivity bounds reveals: (i) Phase measurements are more sensitive than intensity measurements; (ii) Sensitivity exhibits three regimes: photon-shot-noise limited, chemically limited, and intermediate; (iii) Sensitivity shows a turnover as a function of reaction rate due to the interplay between coherent electronic dynamics and incoherent chemical dynamics. Our findings demonstrate that chemical properties must be considered to estimate ultimate precision limits in optical spectrophotometry.