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We present a cost-effective treatment of the triple excitation amplitudes inthe time-dependent optimized coupled-cluster (TD-OCC) framework calledTD-OCCDT(4) for studying intense laser-driven multielectron dynamics. Itconsiders triple excitation amplitudes correct up to fourth-order in many-bodyperturbation theory and achieves a computational scaling of O(N7), with N beingthe number of active orbital functions. This method is applied to the electrondynamics in Ne and Ar atoms exposed to an intense near-infrared laser pulsewith various intensities. We benchmark our results against the time-dependentcomplete-active-space self-consistent field (TD-CASSCF), time-dependentoptimized coupled-cluster with double and triple excitations (TD-OCCDT),time-dependent optimized coupled-cluster with double excitations (TD-OCCD), andthe time-dependent Hartree-Fock (TDHF) methods to understand how thisapproximate scheme performs in describing nonperturbatively nonlinearphenomena, such as field-induced ionization and high-harmonic generation. Wefind that the TD-OCCDT(4) method performs equally well as the TD-OCCDT method,almost perfectly reproducing the results of fully-correlated TD-CASSCF with amore favorable computational scaling.

Time-dependent optimized coupled-cluster method for multielectron dynamics IV: Approximate consideration of the triple excitation amplitudes