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Counting statistics of non-markovian quantum stochastic processes (Articolo in rivista)

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Counting statistics of non-markovian quantum stochastic processes (Articolo in rivista) (literal)

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Flindt, C; Novotny, T; Braggio, A; Sassetti, M; Jauho, AP (2008)
Counting statistics of non-markovian quantum stochastic processes
in Physical review letters (Print)
(literal)

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[Flindt, C; Jauho, A-P] Helsinki Univ Technol, Phys Lab, Espoo 02015, Finland; [Flindt, C; Jauho, A-P] Tech Univ Denmark, Dept Micro & Nanotechnol, DTU Nanotech, DK-2800 Lyngby, Denmark; [Novotny, T] Charles Univ Prague, Fac Math & Phys, Dept Condensed Matter Phys, Prague 12116, Czech Republic; [Braggio, A; Sassetti, M] LAMIA-INFM-CNR, Dipartimento di Fisica, Università di Genova, Via Dodecaneso 33, 16146 Genova, Italy (literal)

Titolo

Abstract

We derive a general expression for the cumulant generating function (CGF) of non-Markovian quantum stochastic transport processes. The long-time limit of the CGF is determined by a single dominating pole of the resolvent of the memory kernel from which we extract the zero-frequency cumulants of the current using a recursive scheme. The finite-frequency noise is expressed not only in terms of the resolvent, but also initial system-environment correlations. As an illustrative example we consider electron transport through a dissipative double quantum dot for which we study the effects of dissipation on the zero-frequency cumulants of high orders and the finite-frequency noise. (literal)

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