Static Electric Dipole Polarizability and Hyperpolarizability Tensors from Mean-Field Cavity Quantum Electrodynamics Approaches

Fuente: arXiv
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Main Authors: DePrince III, A. Eugene, Yuwono, Stephen H.
Format: Preprint
Published: 2025
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author DePrince III, A. Eugene
Yuwono, Stephen H.
author_facet DePrince III, A. Eugene
Yuwono, Stephen H.
contents First-order electric dipole response functions are implemented for cavity quantum electrodynamics (QED) generalizations of Hartree-Fock (HF) and Kohn-Sham density functional theory (DFT) in order to assess the degree to which static molecular response properties are impacted by interactions between electronic degrees of freedom and an optical cavity mode. Isotropically averaged static electric dipole polarizability tensors from QED-HF and QED-DFT are found to be somewhat insensitive to the presence of the cavity under realistic single-molecule coupling strengths. In contrast, the first hyperpolarizability tensor computed using QED-HF can be significantly modified by the cavity, depending on the relative orientation of the molecule and cavity mode polarization axis. For example, compared to the isolated molecule case, the isotropically averaged hyperpolarizability for $p$-nitroaniline decreases by more than 20% when the molecule is coupled to a single-mode optical cavity with a coupling strength of $|λ| = 0.05$ a.u. and when the cavity mode is polarized along the principal molecular axis. On the other hand, with this coupling strength and polarization, the isotropically averaged static dipole polarizability from QED-HF or QED-DFT decreases by only $\approx$ 2--5%, depending on the choice of DFT functional.
format Preprint
id arxiv_https___arxiv_org_abs_2506_00217
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Static Electric Dipole Polarizability and Hyperpolarizability Tensors from Mean-Field Cavity Quantum Electrodynamics Approaches
DePrince III, A. Eugene
Yuwono, Stephen H.
Chemical Physics
First-order electric dipole response functions are implemented for cavity quantum electrodynamics (QED) generalizations of Hartree-Fock (HF) and Kohn-Sham density functional theory (DFT) in order to assess the degree to which static molecular response properties are impacted by interactions between electronic degrees of freedom and an optical cavity mode. Isotropically averaged static electric dipole polarizability tensors from QED-HF and QED-DFT are found to be somewhat insensitive to the presence of the cavity under realistic single-molecule coupling strengths. In contrast, the first hyperpolarizability tensor computed using QED-HF can be significantly modified by the cavity, depending on the relative orientation of the molecule and cavity mode polarization axis. For example, compared to the isolated molecule case, the isotropically averaged hyperpolarizability for $p$-nitroaniline decreases by more than 20% when the molecule is coupled to a single-mode optical cavity with a coupling strength of $|λ| = 0.05$ a.u. and when the cavity mode is polarized along the principal molecular axis. On the other hand, with this coupling strength and polarization, the isotropically averaged static dipole polarizability from QED-HF or QED-DFT decreases by only $\approx$ 2--5%, depending on the choice of DFT functional.
title Static Electric Dipole Polarizability and Hyperpolarizability Tensors from Mean-Field Cavity Quantum Electrodynamics Approaches
topic Chemical Physics
url https://arxiv.org/abs/2506.00217