N-Mode Quantized Anharmonic Vibronic Hamiltonians for Matrix Product State Dynamics

Fuente: arXiv
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Autori principali: Barandun, Valentin, Glaser, Nina, Reiher, Markus
Natura: Preprint
Pubblicazione: 2025
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author Barandun, Valentin
Glaser, Nina
Reiher, Markus
author_facet Barandun, Valentin
Glaser, Nina
Reiher, Markus
contents Theoretical predictions of photochemical processes are essential for interpreting and understanding spectral features. Reliable quantum dynamics calculations of vibronic systems require precise modeling of anharmonic effects in the potential energy surfaces and off-diagonal nonadiabatic coupling terms. In this work, we present the n-mode quantization of all vibronic Hamiltonian terms comprised of general high-dimensional model representations. This results in a second-quantized framework for accurate vibronic calculations employing the density matrix renormalization group algorithm. We demonstrate the accuracy and reliability of this approach by calculating the excited state quantum dynamics of maleimide. We analyze convergence and the choice of parameters of the underlying time-dependent density matrix renormalization group algorithm for the n-mode vibronic Hamiltonian, demonstrating that it enables accurate calculations of complex photochemical dynamics.
format Preprint
id arxiv_https___arxiv_org_abs_2511_03936
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle N-Mode Quantized Anharmonic Vibronic Hamiltonians for Matrix Product State Dynamics
Barandun, Valentin
Glaser, Nina
Reiher, Markus
Chemical Physics
Computational Physics
Theoretical predictions of photochemical processes are essential for interpreting and understanding spectral features. Reliable quantum dynamics calculations of vibronic systems require precise modeling of anharmonic effects in the potential energy surfaces and off-diagonal nonadiabatic coupling terms. In this work, we present the n-mode quantization of all vibronic Hamiltonian terms comprised of general high-dimensional model representations. This results in a second-quantized framework for accurate vibronic calculations employing the density matrix renormalization group algorithm. We demonstrate the accuracy and reliability of this approach by calculating the excited state quantum dynamics of maleimide. We analyze convergence and the choice of parameters of the underlying time-dependent density matrix renormalization group algorithm for the n-mode vibronic Hamiltonian, demonstrating that it enables accurate calculations of complex photochemical dynamics.
title N-Mode Quantized Anharmonic Vibronic Hamiltonians for Matrix Product State Dynamics
topic Chemical Physics
Computational Physics
url https://arxiv.org/abs/2511.03936