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arXiv · 0801.0661

Counting Statistics of Non-Markovian Quantum Stochastic Processes

Christian Flindt·Tomas Novotny·Alessandro Braggio·Maura Sassetti·Antti-Pekka Jauho
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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.

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Christian Flindt, Tomas Novotny, Alessandro Braggio, Maura Sassetti, Antti-Pekka Jauho. 2008-04-17. Counting Statistics of Non-Markovian Quantum Stochastic Processes. https://doi.org/10.1103/physrevlett.100.150601

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