Linear and Nonlinear Optical Properties of Molecules from Real-Time Propagation Based on the Bethe-Salpeter Equation

Marek, Stepan and Wilhelm, Jan (2025) Linear and Nonlinear Optical Properties of Molecules from Real-Time Propagation Based on the Bethe-Salpeter Equation. JOURNAL OF CHEMICAL THEORY AND COMPUTATION, 21 (19). pp. 9814-9822. ISSN 1549-9618, 1549-9626

Full text not available from this repository. (Request a copy)

Abstract

We present a real-time propagation method for computing linear and nonlinear optical properties of molecules based on the Bethe-Salpeter equation. The method follows the time evolution of the one-particle density matrix under an external electric field. We include electron-electron interaction effects through a self-energy model based on the screened exchange approximation. Quasiparticle energies are taken from a prior GW calculation to construct the effective single-particle Hamiltonian, and we represent all operators and wave functions in an atom-centered Gaussian basis. We benchmark the accuracy of the real-time propagation against the standard linear-response Bethe-Salpeter equation by using a set of organic molecules. We find very good agreement when computing linear-response isotropic polarizability spectra from both approaches with a mean absolute deviation of 30 meV in peak positions. Beyond linear response, we simulate second harmonic generation and optical rectification in a noncentrosymmetric molecule. We foresee broad applicability of real-time propagation based on the Bethe-Salpeter equation for the study of linear and nonlinear optical properties of molecules, as the method has a computational cost similar to that of time-dependent density functional theory with hybrid functionals.

Item Type: Article
Uncontrolled Keywords: BASIS-SETS; ELECTRONIC EXCITATIONS; GREENS-FUNCTION; EXCHANGE; GW; SPECTRA; HOLE;
Subjects: 500 Science > 530 Physics
500 Science > 540 Chemistry & allied sciences
Divisions: Physics > Institute of Theroretical Physics
Regensburg Center for UltrafastNanoscopy (RUN)
Depositing User: Dr. Gernot Deinzer
Date Deposited: 07 May 2026 07:34
Last Modified: 07 May 2026 07:35
URI: https://pred.uni-regensburg.de/id/eprint/65777

Actions (login required)

View Item View Item