Dissipaton Equation of Motion with Controlled Truncation

This work aims at a priori accuracy controlled truncation to the dissipaton equation of motion formalism for non-perturbative quantum dissipative dynamics. A new truncation scheme is proposed by adopting the Markovian and high-temperature approximation similar to the Caldeira-Leggett master equation made at the termination level. An accuracy criterion to determine the truncation level is put forward via a Markovianicity analysis. Performances of both the new truncation scheme and the control criterion are illustrated via dynamics simulation of electron transfer systems.