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In the dynamics of driven impurity models, there is a fundamental asymmetrybetween the processes of emission and absorption of environment excitations:most of the emitted excitations are rapidly and irreversibly scattered away,and only a small amount of them is reabsorbed back. We propose to use astochastic simulation of the irreversible quantum emission processes inreal-time dynamics, while taking into account the reabsorbed virtualexcitations by the bath discretization. The resulting method delivers a fastconvergence with respect to the number of bath sites, on a wide time interval,without the sign problem.

Stochastic dressed wavefunction: a numerically exact solver for bosonic impurity model dynamics within wide time interval