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Pairing Accuracy and Efficiency in a Multi-Reference Excited State Method Applicable in Non-Adiabatic Molecular Dynamics Simulations

Applicant Dr. Daniel Graf
Subject Area Theoretical Chemistry: Electronic Structure, Dynamics, Simulation
Term from 2022 to 2024
Project identifier Deutsche Forschungsgemeinschaft (DFG) - Project number 498448112
 
Final Report Year 2024

Final Report Abstract

Excited-state processes underlie many fundamental natural phenomena such as photosynthesis and human vision as well as important technological applications, including photovoltaic systems and light-driven hydrogen production. A deep understanding of these mechanisms is hence essential, not only for comprehending nature but also for driving technological innovations needed to address the pressing environmental challenges of our time. This project focused on advancing the theoretical tools necessary for studying these processes at an atomic level – an endeavor beyond the reach of traditional experimental techniques. To this end, a novel quantum mechanical approach was developed, demonstrating the potential to overcome significant limitations of existing methods for describing exited states. The proposed approach can achieve high accuracy at relatively low computational cost and is additionally systematically improvable, providing a clear pathway to increase accuracy by trading computational resources. While further refinement and testing are required, this work has laid a solid foundation for future developments and holds promise to inspire continued progress in this direction. Given that excited-state methods often depend on ground-state calculations as their starting point, errors in these so-called reference calculations can propagate, potentially compromising the accuracy of subsequent excited-state procedures. To address this issue, several strategies were developed to effectively identify and correct errors in ground-state calculations. These strategies are valuable not only for ensuring reliable starting points for excited-state calculations, but also for investigating ground-state properties themselves, which underlie many important phenomena. For example, the developed methodologies were further applied to investigate the translational eigenstates of endofullerenes – an intriguing class of molecules with potential applications as qubits in spin-based quantum computing architectures.

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