Finite-Size Corrections to the Excitation Energy Transfer in a Massless Scalar Interaction Model

TL;DR

This paper investigates how finite-size effects influence excitation energy transfer in a scalar interaction model, revealing significant corrections to standard formulas due to quantum wave overlaps.

Contribution

It introduces finite-size correction terms to Fermi's golden rule in a scalar EET model, highlighting the impact of non-resonant transition modes.

Findings

Finite-size effects significantly modify EET probability.

Corrections arise from quantum wave overlap in short times.

EET probability is substantially enhanced by these effects.

Abstract

We study the excitation energy transfer (EET) for a simple model in which a massless scalar particle is exchanged between two molecules. We show that a finite-size effect appears in EET by the interaction energy due to overlapping of the quantum waves in a short time interval. The effect generates finite-size corrections to Fermi's golden rule and modifies EET probability from the standard formula in the Forster mechanism. The correction terms come from transition modes outside the resonance energy region and enhance EET probability substantially.