Counting Statistics of Non-Markovian Quantum Stochastic Processes

Details Counting Statistics of Non-Markovian Quantum Stochastic Processes Counting Statistics of Non-Markovian Quantum Stochastic Processes

2008-01-04

arxiv.org/abs/0801.0661v2

Phys. Rev. Lett. 100, 150601 (2008)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4+ pages, 2 figures, final version as published in Phys. Rev. Lett

Scientific paper

10.1103/PhysRevLett.100.150601

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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