About non-positive evolutions in open system dynamics
Abstract
The long-time evolution of a system in interaction with an external environment is usually described by a family of linear maps gt, generated by master equations of Block-Redfield type. These maps are in general non-positive; a widely adopted cure for this physical inconsistency is to restrict the domain of definition of the dynamical maps to those states for which gt remains positive. We show that this prescription has to be modified when two systems are immersed in the same environment and evolve with the factorized dynamics gt x gt starting from an entangled initial state.
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