Short Iterative Lanczos Integration in Time-Dependent Equation-of-Motion Coupled-Cluster Theory
A time-dependent (TD) formulation of equation-of-motion coupled-cluster (EOM-CC) theory can provide excited-state information over an arbitrarily wide energy window with a reduced memory footprint relative to conventional, frequency-domain EOM-CC theory. However, the floating-point costs of the time-integration required by TD-EOM-CC are generally far larger than those of the frequency-domain form of the approach. This work considers the potential of the short iterative Lanczos (SIL) integration scheme [J. Chem. Phys.1986,85, 5870-5876] to reduce the floating-point costs of TD-EOM-CC simulations. Low-energy and K-edge absorption features for small molecules are evaluated using TD-EOM-CC with single and double excitations, with the time-integrations carried out via SIL and fourth-order Runge-Kutta (RK4) schemes. Spectra derived from SIL- and RK4-driven simulations are nearly indistinguishable, and with an appropriately chosen subspace dimension, the SIL requires far fewer floating-point operations than are required by RK4. For K-edge spectra, SIL is the more efficient scheme by an average factor of 7.2.
Journal of Physical Chemistry A
Cooper, B., Koulias, L., Nascimento, D., Li, X., & DePrince, A. (2021). Short Iterative Lanczos Integration in Time-Dependent Equation-of-Motion Coupled-Cluster Theory. Journal of Physical Chemistry A, 125 (24), 5438-5447. https://doi.org/10.1021/acs.jpca.1c01102