Adiabatic theorem for a class of stochastic differential equations on a Hilbert space
Martin Fraas
Albany, USA

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Abstract
We derive an adiabatic theory for a stochastic differential equation,
under a condition that instantaneous stationary states of are also stationary states of . We use our results to derive the full statistics of tunneling for a driven stochastic Schrödinger equation describing a dephasing process.