2021
DOI: 10.1021/acs.jctc.0c01065
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Benchmarking the Surface Hopping Method to Include Nuclear Quantum Effects

Abstract: We have benchmarked the surface hopping method to capture nuclear quantum effects in the spin-Boson model in the deep tunneling regime. The thermal populations and the rate constants calculated using the surface hopping method are compared with those calculated using Boltzmann theory and Fermi's golden rule, respectively. Additionally, we have proposed a simple kinetic model that partially includes nuclear quantum effects within Marcus theory, and the results of the surface hopping method are analyzed under th… Show more

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Cited by 17 publications
(27 citation statements)
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“…The model describes a dissipative quantum system and has been widely used as a benchmark for approximate nonadiabatic methods due to the feasibility of computing numerically exact quantum results. 30,32,[124][125][126][127][128][129] The spin-boson Hamiltonian can be written in the form of Eq. 2 by setting…”
Section: B Spin-boson Modelmentioning
confidence: 99%
“…The model describes a dissipative quantum system and has been widely used as a benchmark for approximate nonadiabatic methods due to the feasibility of computing numerically exact quantum results. 30,32,[124][125][126][127][128][129] The spin-boson Hamiltonian can be written in the form of Eq. 2 by setting…”
Section: B Spin-boson Modelmentioning
confidence: 99%
“…From a surface hopping perspective, quantum nuclear effects emerge as vibrational nonadiabaticity, i.e., avoided crossings in vibronic potential energy surfaces. As a concrete example, let us modify the Hamiltonian of eq to H = p x 2 2 m + H q m H q m = p q 2 2 m + ( true 1 / 2 m ω 1 2 q 2 V c V c 1 / 2 m ω 1 2 ( q q 0 ) 2 + ϵ 0 ) + 1 2 m ω 2 2 false( x italicg italicq false) 2 To treat q quantum mechanically, the vibronic adiabatic energies are calculated by solving H q m ψ i normala …”
Section: Vibrational Quantizationmentioning
confidence: 99%
“…69,70 Recent benchmarking of the surface hopping method has also been done to capture quantum nuclear effects for electronically nonadiabatic problems. 49 Simultaneous vibrational and electronic nonadiabaticity is one of the extreme cases for FSSH, where all the nuances must be treated correctly to get the correct rate constants. Including decoherence is challenging since both parallel and nonparallel surfaces are present.…”
Section: Vibrational Quantizationmentioning
confidence: 99%
“…The model describes a dissipative quantum system and has been widely used as a benchmark for approximate nonadiabatic methods due to the feasibility of computing numerically exact quantum results. 30,32,[123][124][125][126][127][128] The spin-boson Hamiltonian can be written in the form of Eq. 2 by setting…”
Section: B Spin-boson Modelmentioning
confidence: 99%