Time-Dependent Density Matrix Renormalization Group Coupled with <i>n</i>-Mode Representation Potentials for the Excited State Radiationless Decay Rate: Formalism and Application to Azulene<sup>†</sup>

Jia-jun Ren; Yuan-heng Wang; Wei-tang Li; Tong Jiang; Zhi-gang Shuai

doi:10.1063/1674-0068/cjcp2108138

Volume 34 Issue 5

Oct. 2021

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Jia-jun Ren, Yuan-heng Wang, Wei-tang Li, Tong Jiang, Zhi-gang Shuai. Time-Dependent Density Matrix Renormalization Group Coupled with n-Mode Representation Potentials for the Excited State Radiationless Decay Rate: Formalism and Application to Azulene†[J]. Chinese Journal of Chemical Physics , 2021, 34(5): 565-582. doi: 10.1063/1674-0068/cjcp2108138

Citation:

Jia-jun Ren, Yuan-heng Wang, Wei-tang Li, Tong Jiang, Zhi-gang Shuai. Time-Dependent Density Matrix Renormalization Group Coupled with n-Mode Representation Potentials for the Excited State Radiationless Decay Rate: Formalism and Application to Azulene^†[J]. Chinese Journal of Chemical Physics , 2021, 34(5): 565-582. doi: 10.1063/1674-0068/cjcp2108138

Citation:

Jia-jun Ren, Yuan-heng Wang, Wei-tang Li, Tong Jiang, Zhi-gang Shuai. Time-Dependent Density Matrix Renormalization Group Coupled with n-Mode Representation Potentials for the Excited State Radiationless Decay Rate: Formalism and Application to Azulene^†[J]. Chinese Journal of Chemical Physics , 2021, 34(5): 565-582. doi: 10.1063/1674-0068/cjcp2108138

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Time-Dependent Density Matrix Renormalization Group Coupled with n-Mode Representation Potentials for the Excited State Radiationless Decay Rate: Formalism and Application to Azulene^†

doi: 10.1063/1674-0068/cjcp2108138

MOE Key Laboratory of Organic OptoElectronics and Molecular Engineering, Department of Chemistry, Tsinghua University, Beijing 100084, China

More Information

Corresponding author: Zhi-gang Shuai, E-mail: zgshuai@tsinghua.edu.cn
Received Date: 2021-08-15
Accepted Date: 2021-09-29
Publish Date: 2021-10-27

Abstract

Abstract

We propose a method for calculating the nonradiative decay rates for polyatomic molecules including anharmonic effects of the potential energy surface (PES) in the Franck-Condon region. The method combines the n-mode representation method to construct the ab initio PES and the nearly exact time-dependent density matrix renormalization group method (TD-DMRG) to simulate quantum dynamics. In addition, in the framework of TD-DMRG, we further develop an algorithm to calculate the final-state-resolved rate coefficient which is very useful to analyze the contribution from each vibrational mode to the transition process. We use this method to study the internal conversion (IC) process of azulene after taking into account the anharmonicity of the ground state PES. The results show that even for this semi-rigid molecule, the intramode anharmonicity enhances the IC rate significantly, and after considering the two-mode coupling effect, the rate increases even further. The reason is that the anharmonicity enables the C-H vibrations to receive electronic energy while C-H vibrations do not contribute on the harmonic PES as the Huang-Rhys factor is close to 0.
- Time-dependent density matrix renormalization group method,
- Nonradiative decay rate,
- Quantum dynamics,
- Matrix product state

^†Part of special topic of "the Young Scientist Forum on Chemical Physics: Theoretical and Computational Chemistry Workshop 2020".

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