Berlin 2008 – wissenschaftliches Programm
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TT: Fachverband Tiefe Temperaturen
TT 3: Transport: Fluctuations and Noise
TT 3.2: Vortrag
Montag, 25. Februar 2008, 09:45–10:00, H 2053
Counting statistics of transport through non-Markovian systems — •Christian Flindt1,2, Alessandro Braggio3, Antti-Pekka Jauho1,2, and Tomáš Novotný4 — 1Laboratory of Physics, Helsinki University of Technology, Finland — 2MIC – Department of Micro and Nanotechnology, Technical University of Denmark, Denmark — 3Dipartimento di Fisica, Università di Genova, Italy — 4Department of Condensed Matter Physics, Charles University, Czech Republic
Current fluctuations have been promoted as a useful tool to probe the quantum dynamics of nanoscopic transport systems. In this contribution we describe a method for calculating the current cumulants of transport through systems described by non-Markovian generalized master equations. As an illustrative example, we consider transport through a Coulomb-blockade double quantum dot coupled to a dissipative heat bath [1]. We show how the cumulant generating function in the long time limit is determined by a single dominating pole of the memory kernel [2] and describe how the zero-frequency cumulants of the current can be extracted from this pole in a recursive manner. For the evaluation of the finite-frequency noise we show that not only the full set of poles is important, but also initial system-bath correlations play a crucial role [3].
[1] R. Aguado and T. Brandes, PRL 92, 206601 (2004)
[2] A. Braggio, J. König, and R. Fazio, PRL 96, 026805 (2006)
[3] C. Flindt, A. Braggio, A.-P. Jauho, and T. Novotný, in preparation (2007)