Counting statistics of non-markovian quantum stochastic processes

Flindt, C.; Novotny, T.; Braggio, A.; Sassetti, Maura; Jauho, A. P.

doi:10.1103/PhysRevLett.100.150601

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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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Titolo:	Counting statistics of non-markovian quantum stochastic processes
Autori:	C. FLINDT T. NOVOTNY A. BRAGGIO SASSETTI, MAURA A.P. JAUHO mostra contributor esterni nascondi contributor esterni
Data di pubblicazione:	2008
Rivista:	PHYSICAL REVIEW LETTERS
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.
Handle:	http://hdl.handle.net/11567/223626
Appare nelle tipologie:	01.01 - Articolo su rivista

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