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Among quantum Langevin equations describing the unitary time evolution of aquantum system in contact with a quantum bath, we completely characterize thoseequations which are actually driven by classical noises. The characterizationis purely algebraic, in terms of the coefficients of the equation. In a secondpart, we consider general quantum Langevin equations and we prove that they canalways be split into a maximal part driven by classical noises and a purelyquantum one.

Classical and Quantum Part of the Environment for Quantum Langevin Equations