MO-HEOM: Extending Hierarchical Equations of Motion to Molecular Orbital Space

Fuente: arXiv
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Autores principales: Zhang, Yankai, Tanimura, Yoshitaka, Hirata, So
Formato: Preprint
Publicado: 2025
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author Zhang, Yankai
Tanimura, Yoshitaka
Hirata, So
author_facet Zhang, Yankai
Tanimura, Yoshitaka
Hirata, So
contents Studies of quantum thermal effects on molecular excitation dynamics have often relied on oversimplified models, such as energy eigenstates or low-dimensional potentials, which fail to capture the complexity of real chemical systems. In reality, molecules are spatially extended and embedded in anisotropic environments, where molecular orbitals (MOs) play a central role in determining quantum behavior. To advance beyond these limitations, we propose a three-dimensional rotationally invariant system-bath (3D-RISB) model within the MO framework, with explicit inclusion of intramolecular vibrational motion. From this MO foundation, we derive numerically ``exact'' hierarchical equations of motion (MO-HEOM). As a demonstration, we analyze hydrogen molecules and hydrogen molecular ions with vibrational degrees of freedom, revealing their linear absorption spectra.
format Preprint
id arxiv_https___arxiv_org_abs_2512_22962
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle MO-HEOM: Extending Hierarchical Equations of Motion to Molecular Orbital Space
Zhang, Yankai
Tanimura, Yoshitaka
Hirata, So
Chemical Physics
Statistical Mechanics
Studies of quantum thermal effects on molecular excitation dynamics have often relied on oversimplified models, such as energy eigenstates or low-dimensional potentials, which fail to capture the complexity of real chemical systems. In reality, molecules are spatially extended and embedded in anisotropic environments, where molecular orbitals (MOs) play a central role in determining quantum behavior. To advance beyond these limitations, we propose a three-dimensional rotationally invariant system-bath (3D-RISB) model within the MO framework, with explicit inclusion of intramolecular vibrational motion. From this MO foundation, we derive numerically ``exact'' hierarchical equations of motion (MO-HEOM). As a demonstration, we analyze hydrogen molecules and hydrogen molecular ions with vibrational degrees of freedom, revealing their linear absorption spectra.
title MO-HEOM: Extending Hierarchical Equations of Motion to Molecular Orbital Space
topic Chemical Physics
Statistical Mechanics
url https://arxiv.org/abs/2512.22962