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.
@article{arxiv.2305.07592,
title = {Approximate Exponential Integrators for Time-Dependent Equation-of-Motion Coupled Cluster Theory},
author = {David B. Williams-Young and Stephen Yuwono and A. Eugene DePrince and Chao Yang},
journal= {arXiv preprint arXiv:2305.07592},
year = {2023}
}