Adiabatic theorem for a class of quantum stochastic equations

الأصل · EN

We derive an adiabatic theory for a stochastic differential equation, ε d X(s) = L₁(s) X(s) d s + √ε 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 Schrödinger equation describing a dephasing process.