Stochastic Simulation of Nonadiabatic Dynamics at Long Time

Using a generalized energy-conserving transition probability, it is shown how nonadiabatic calculations, within the Wigner-Heisenberg representation of quantum mechanics, can be reliably extended to far longer times than those allowed by a primitive sampling scheme. Tackling the spin-boson model as a paradigmatic example, substantial numerical evidence is provided that effective integration of the dynamics can be achieved for a wide range of temperatures and friction.