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A general method is developed which enables the exact treatment of thenon-Markovian quantum dynamics of open systems through a Monte Carlo simulationtechnique. The method is based on a stochastic formulation of the von Neumannequation of the composite system and employs a pair of product states followinga Markovian random jump process. The performance of the method is illustratedby means of stochastic simulations of the dynamics of open systems interactingwith a Bosonic reservoir at zero temperature and with a spin bath in the strongcoupling regime.Comment: 4 pages, 2 figure

Exact quantum jump approach to open systems in bosonic and spin baths