Frequency-Dependent Quadratic Response Properties and Two-photon Absorption from Relativistic Equation-of-Motion Coupled Cluster Theory

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Main Authors: Yuan, Xiang, Halbert, Loic, Visscher, Lucas, Gomes, Andre Severo Pereira
Format: Preprint
Published: 2023
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author Yuan, Xiang
Halbert, Loic
Visscher, Lucas
Gomes, Andre Severo Pereira
author_facet Yuan, Xiang
Halbert, Loic
Visscher, Lucas
Gomes, Andre Severo Pereira
contents We present the implementation of quadratic response theory based upon the relativistic equation-of-motion coupled cluster method. We showcase our implementation, whose generality allows us to consider both time-dependent and time-independent electric and magnetic perturbations, by considering the static and frequency-dependent hyperpolarizability of hydrogen halides (HX, X = F-At), providing a comprehensive insight into their electronic response characteristics. Additionally, we evaluated the Verdet constant for noble gases Xe and Rn, and discussed the relative importance of relativistic and electron correlation effects for these magneto-optical properties. Finally, we calculate the two-photon absorption cross-sections of transition ($ns^{1}S_{0}\to (n+1)s^{1}S_{0}$) of Ga$^{+}$, and In$^{+}$, which are suggested as candidates for new ion clocks. As our implementation allows for the use of non-relativistic Hamiltonians as well, we have compared our EOM-QRCC results to the QR-CC implementation in the DALTON code, and show that the differences between CC and EOMCC response are in general smaller than 5\% for the properties considered. Collectively, the results underscore the versatility of our implementation and its potential as a benchmark tool for other approximated models such as density functional theory for higher-order properties.
format Preprint
id arxiv_https___arxiv_org_abs_2309_07295
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Frequency-Dependent Quadratic Response Properties and Two-photon Absorption from Relativistic Equation-of-Motion Coupled Cluster Theory
Yuan, Xiang
Halbert, Loic
Visscher, Lucas
Gomes, Andre Severo Pereira
Chemical Physics
We present the implementation of quadratic response theory based upon the relativistic equation-of-motion coupled cluster method. We showcase our implementation, whose generality allows us to consider both time-dependent and time-independent electric and magnetic perturbations, by considering the static and frequency-dependent hyperpolarizability of hydrogen halides (HX, X = F-At), providing a comprehensive insight into their electronic response characteristics. Additionally, we evaluated the Verdet constant for noble gases Xe and Rn, and discussed the relative importance of relativistic and electron correlation effects for these magneto-optical properties. Finally, we calculate the two-photon absorption cross-sections of transition ($ns^{1}S_{0}\to (n+1)s^{1}S_{0}$) of Ga$^{+}$, and In$^{+}$, which are suggested as candidates for new ion clocks. As our implementation allows for the use of non-relativistic Hamiltonians as well, we have compared our EOM-QRCC results to the QR-CC implementation in the DALTON code, and show that the differences between CC and EOMCC response are in general smaller than 5\% for the properties considered. Collectively, the results underscore the versatility of our implementation and its potential as a benchmark tool for other approximated models such as density functional theory for higher-order properties.
title Frequency-Dependent Quadratic Response Properties and Two-photon Absorption from Relativistic Equation-of-Motion Coupled Cluster Theory
topic Chemical Physics
url https://arxiv.org/abs/2309.07295