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Preprint

Generalized energy gap law: An open system dynamics approach to non-adiabatic phenomena in molecules

MPS-Authors
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Gurlek,  B.
Theory Group, Theory Department, Max Planck Institute for the Structure and Dynamics of Matter, Max Planck Society;
Center for Free-Electron Laser Science;

External Resource

https://arxiv.org/abs/2405.08718
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2405.08718.pdf
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引用

Bassler, N. S., Reitz, M., Holzinger, R., Vibók, A., Halász, G. J., Gurlek, B., & Genes, C. (2024). Generalized energy gap law: An open system dynamics approach to non-adiabatic phenomena in molecules.


引用: https://hdl.handle.net/21.11116/0000-000F-643F-B
要旨
Non-adiabatic molecular phenomena, arising from the breakdown of the Born-Oppenheimer approximation, govern the fate of virtually all photo-physical and photochemical processes and limit the quantum efficiency of molecules and other solid-state embedded quantum emitters. A simple and elegant description, the energy gap law, was derived five decades ago, predicting that the non-adiabatic coupling between the excited and ground potential landscapes lead to non-radiative decay with a quasi-exponential dependence on the energy gap. We revisit and extend this theory to account for crucial aspects such as vibrational relaxation, dephasing, and radiative loss. We find a closed analytical solution with general validity which indicates a direct proportionality of the non-radiative rate with the vibrational relaxation rate at low temperatures, and with the dephasing rate of the electronic transition at high temperatures. Our work establishes a connection between nanoscale quantum optics, open quantum system dynamics and non-adiabatic molecular physics.