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arXiv · 2305.07592

Approximate Exponential Integrators for Time-Dependent Equation-of-Motion Coupled Cluster Theory

David B. Williams-Young·Stephen Yuwono·A. Eugene DePrince III·Chao Yang
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Abstract

With growing demand for time-domain simulations of correlated many-body systems, the development of efficient and stable integration schemes for the time-dependent Schr\"odinger equation is of keen interest in modern electronic structure theory. In the present work, we present two novel approaches for the formation of the quantum propagator for time-dependent equation-of-motion coupled cluster theory (TD-EOM-CC) based on the Chebyshev and Arnoldi expansions of the complex, non-hermitian matrix exponential, respectively. The proposed algorithms are compared with the short-iterative Lanczos method of Cooper, et al [J. Phys. Chem. A. 2021 125, 5438-5447], the fourth-order Runge-Kutta method (RK4), and exact dynamics for a set of small but challenging test problems. For each of the cases studied, both of the proposed integration schemes demonstrate superior accuracy and efficiency relative to the reference simulations.

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David B. Williams-Young, Stephen Yuwono, A. Eugene DePrince III, Chao Yang. 2023-05-12. Approximate Exponential Integrators for Time-Dependent Equation-of-Motion Coupled Cluster Theory. https://arxiv.org/abs/2305.07592

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