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Related Experiment Video

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Generation and Coherent Control of Pulsed Quantum Frequency Combs

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Published on: June 8, 2018

Transition matrices and orbitals from reduced density matrix theory.

Thibaud Etienne¹

¹Université de Lorraine - Nancy, Théorie-Modélisation-Simulation, SRSMC, Boulevard des Aiguillettes 54506, Vandoeuvre-lès-Nancy, France; CNRS, Théorie-Modélisation-Simulation, SRSMC, Boulevard des Aiguillettes 54506, Vandoeuvre-lès-Nancy, France; and Unité de Chimie Physique Théorique et Structurale, Université de Namur, Rue de Bruxelles 61, 5000 Namur, Belgium.

The Journal of Chemical Physics

|July 3, 2015

Summary

This study introduces two methods to analyze electronic structure changes during chromophore electronic transitions. Both approaches, using transition density matrices and orbitals, offer equivalent topological analyses for excited states.

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Area of Science:

Computational Chemistry
Theoretical Chemistry
Quantum Chemistry

Background:

Understanding electronic structure reorganization is crucial for chromophore behavior.
Reduced density matrix theory provides a framework for analyzing electronic transitions.
Existing methods for excited state calculations have limitations in characterizing electronic reorganization.

Purpose of the Study:

To develop and present two novel methodologies for characterizing electronic structure reorganization during electronic transitions.
To provide a new interpretation of the transition density matrix and natural transition orbitals.
To demonstrate the equivalence of the proposed methods for excited state topological analysis.

Main Methods:

Tensor analysis of the transition density matrix and natural transition orbitals within reduced density matrix theory.
Application of the formalism to time-dependent Hartree-Fock/time-dependent density functional theory and configuration interaction single/Tamm-Dancoff approximation methods.
Introduction and application of canonical transition density matrix and canonical transition orbitals.

Main Results:

A novel interpretation of the transition density matrix and natural transition orbitals is established.
Canonical transition density matrix and orbitals are introduced, reflecting electronic cloud polarization.
Both methodologies provide equivalent topological analyses of excited states, despite differing construction principles.

Conclusions:

The two presented methodologies offer robust and equivalent frameworks for analyzing electronic transitions.
The developed concepts provide deeper insights into electronic structure reorganization in chromophores.
The findings are validated through analyses of electronic transitions in organic and inorganic dyes.