Hadamard regularization of open quantum systems coupled to unstructured environments in the Schwinger-Keldysh formalism
This paper proposes a Hadamard regularization-based separation-of-scales ansatz within the Schwinger-Keldysh formalism to develop a computationally efficient time-stepping algorithm for the Kadanoff-Baym equations, enabling the simulation of damped quantum harmonic oscillators in unstructured environments while capturing non-Markovian and renormalization effects without prohibitive cubic scaling.