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Quantum stochastic processes in mesoscopic conductors

1999/05/25 by G. J. Milburn, Milburn, G. J.
Computer Science · Engineering · Physics and Astronomy · #Advancements in Semiconductor Devices and Circuit Design #Condensed Matter (cond-mat) #FOS: Physical sciences #Quantum Information and Cryptography #Quantum and electron transport phenomena #cond-mat

paper · pdf · doi:10.48550/arxiv.cond-mat/9905360

17 pages, 1 figure

arxiv created 1999/05/25 · openalex publication_date 1999/05/25 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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.

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