English

Time-Dependent Equation-of-Motion Coupled-Cluster Simulations with a Defective Hamiltonian

Chemical Physics 2023-08-09 v2

Abstract

Simulations of laser-induced electron dynamics in a molecular system are performed using time-dependent (TD) equation-of-motion (EOM) coupled-cluster (CC) theory. The target system has been chosen to highlight potential shortcomings of truncated TD-EOM-CC methods [represented in this work by TD-EOM-CC with single and double excitations (TD-EOM-CCSD)], where unphysical spectroscopic features can emerge. Specifically, we explore driven resonant electronic excitations in magnesium fluoride in the proximity of an avoided crossing. Near the avoided crossing, the CCSD similarity-transformed Hamiltonian is defective, meaning that it has complex eigenvalues, and oscillator strengths may take on negative values. When an external field is applied to drive transitions to states exhibiting these traits, unphysical dynamics are observed. For example, the stationary states that make up the time-dependent state acquire populations that can be negative, exceed one, or even be complex-valued.

Keywords

Cite

@article{arxiv.2305.06412,
  title  = {Time-Dependent Equation-of-Motion Coupled-Cluster Simulations with a Defective Hamiltonian},
  author = {Stephen H. Yuwono and Brandon C. Cooper and Tianyuan Zhang and Xiaosong Li and A. Eugene DePrince},
  journal= {arXiv preprint arXiv:2305.06412},
  year   = {2023}
}