Adiabatic theorem for a class of quantum stochastic equations
Abstract
We derive an adiabatic theory for a stochastic differential equation, \, d X(s) = L1(s) X(s)\, d s + L2(s) X(s) \, d Bs, under a condition that instantaneous stationary states of L1(s) are also stationary states of L2(s). We use our results to derive the full statistics of tunneling for a driven stochastic Schr\"odinger equation describing a dephasing process.
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