Cavity-Modified Nonequilibrium Fermi's Golden Rule Rate Coefficients from Cavity-Free Inputs

Fuente: arXiv
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Autores principales: Khazaei, Pouya, Geva, Eitan
Formato: Preprint
Publicado: 2025
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author Khazaei, Pouya
Geva, Eitan
author_facet Khazaei, Pouya
Geva, Eitan
contents The Nonequilibrium Fermi's Golden Rule (NE-FGR) provides a convenient theoretical framework for calculating the charge transfer rate between a photoexcited bright donor electronic state and a dark acceptor electronic state, when the nuclear degrees of freedom start out in a nonequilibrium initial state. In this paper, we show that NE-FGR rates can be significantly modified by placing the molecular system inside an electromagnetic microcavity, even when the coupling with the cavity modes is weak. In this case, cavity-modified NE-FGR rates can also be estimated from the same inputs needed for calculating the cavity-free NE-FGR rates, thereby bypassing the need for an explicit simulation of the molecular system inside the cavity. We also introduce an approximate limit of the cavity-modified NE-FGR, which we denote cavity-modified Instantaneous Marcus Theory, since it is based on the same assumptions underlying Marcus theory. The utility of the proposed framework for calculating cavity-modified NE-FGR rates is demonstrated by applications to photo-induced charge transfer in the carotenoid-porphyrin-C$_{60}$ molecular triad dissolved in liquid tetrahydrofuran and the Garg-Onuchic-Ambegaokar model for charge transfer in the condensed phase.
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id arxiv_https___arxiv_org_abs_2509_12634
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publishDate 2025
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spellingShingle Cavity-Modified Nonequilibrium Fermi's Golden Rule Rate Coefficients from Cavity-Free Inputs
Khazaei, Pouya
Geva, Eitan
Quantum Physics
The Nonequilibrium Fermi's Golden Rule (NE-FGR) provides a convenient theoretical framework for calculating the charge transfer rate between a photoexcited bright donor electronic state and a dark acceptor electronic state, when the nuclear degrees of freedom start out in a nonequilibrium initial state. In this paper, we show that NE-FGR rates can be significantly modified by placing the molecular system inside an electromagnetic microcavity, even when the coupling with the cavity modes is weak. In this case, cavity-modified NE-FGR rates can also be estimated from the same inputs needed for calculating the cavity-free NE-FGR rates, thereby bypassing the need for an explicit simulation of the molecular system inside the cavity. We also introduce an approximate limit of the cavity-modified NE-FGR, which we denote cavity-modified Instantaneous Marcus Theory, since it is based on the same assumptions underlying Marcus theory. The utility of the proposed framework for calculating cavity-modified NE-FGR rates is demonstrated by applications to photo-induced charge transfer in the carotenoid-porphyrin-C$_{60}$ molecular triad dissolved in liquid tetrahydrofuran and the Garg-Onuchic-Ambegaokar model for charge transfer in the condensed phase.
title Cavity-Modified Nonequilibrium Fermi's Golden Rule Rate Coefficients from Cavity-Free Inputs
topic Quantum Physics
url https://arxiv.org/abs/2509.12634