Generalized Energy Gap Law: an open system dynamics approach to non-adiabatic phenomena in molecules

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Title: Generalized Energy Gap Law: an open system dynamics approach to non-adiabatic phenomena in molecules
When: Monday, September 30, 2024, 12:00
Place: Department of Theoretical Condensed Matter Physics, Faculty of Sciences, Module 5, Seminar Room (5th Floor)
Speaker: Claudiu Genes, Head of “Quantum Cooperative Phenomena” Max-Planck-Institut für die Physik des Lichts Staudtstraße 2, 91058 Erlangen, Germany.

Non-adiabatic molecular phenomena, arising from the breakdown of the Born-Oppenheimer approximation, govern the fate of virtually all photo-physical and photo-chemical 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 [1]. We revisit and extend this theory to account for crucial aspects such as vibrational relaxation, dephasing, and radiative loss in the behavior of non-radiative processes such as, for example, internal conversion. 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 [2]. This work establishes a connection between molecular quantum optics, open quantum system dynamics and non-adiabatic molecular physics.

References

  1. R. Englman and J. Jortner, “The energy gap law for radiationless transitions in large molecules,” Mol. Phys. 18, 145–164 (1970)
  2. N. S. Baßler, M. Reitz, R. Holzinger, A. Vibok, G. J. Halasz, B. Gurlek, and C. Genes, “Generalized energy gap law: An open system dynamics approach to non-adiabatic phenomena in molecules”, arXiv:2405.08718v1 (2024)