Quantum stochastic processes in mesoscopic conductors

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We show an equivalence between the approach of Buttiker and the Fermi quantum stochastic calculus for mesoscopic systems. To illustrate the method we derive the current fluctuations in a two terminal mesoscopic circuit with two tunnel barriers containing a single quasi bound state on the well. The method enables us to focus on either the incoming/outgoing Fermi fields in the leads, or on the irreversible dynamics of the well state itself. The quantum stochastic calculus we use is the Fermi analogue of the input/output methods of quantum optics.
17 pages, 1 figure

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