Energy-transfer and quantum trajectories in quasi-molecular networks

Continuous measurement models are conveniently based on master equations specified by the respective Hamiltonian and appropriate environment operators. As demonstrated by stochastic unraveling, the latter specify the dynamical process rather than static detection modes. We show that certain environment operators acting on a simple system may, in fact, require extended networks for implementation: Their Hamilton parameters re-appear in the effective environment operators of the reduced model. The resulting quantum trajectories typically involve competing paths, which may give rise to different fluctuation and noise properties even when the corresponding ensemble behavior is practically the same.