Shot noise in non-adiabatically driven nanoscale conductors

Kaiser, Franz; Kohler, Sigmund

doi:10.1002/andp.200710257

Cited by 25 publications

(35 citation statements)

References 85 publications

(201 reference statements)

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“…Finally, for periodic driving, our master equation hierarchy may serve as a starting point for a Floquet treatment of the full-counting statistics. This would extend the approach for the second cumulant derived from a precursor of the present method [48].…”

Section: Discussionmentioning

confidence: 99%

Full-counting statistics of time-dependent conductors

2016

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We develop a scheme for the computation of the full-counting statistics of transport described by Markovian master equations with an arbitrary time dependence. It is based on a hierarchy of generalized density operators, where the trace of each operator yields one cumulant. This direct relation offers a better numerical efficiency than the equivalent number-resolved master equation. The proposed method is particularly useful for conductors with an elaborate time dependence stemming, e.g., from pulses or combinations of slow and fast parameter switching. As a test bench for the evaluation of the numerical stability, we consider time-independent problems for which the full-counting statistics can be computed by other means. As applications, we study cumulants of higher order for two time-dependent transport problems of recent interest, namely steady-state coherent transfer by adiabatic passage (CTAP) and Landau-Zener-Stückelberg-Majorana (LZSM) interference in an open double quantum dot.

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Section: Discussionmentioning

confidence: 99%

Full-counting statistics of time-dependent conductors

2016

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“…(2) fully accounts for interference effects captured in the off-diagonal elements of ρ ∞ . The current I (first cumulant) and shot noise S (second cumulant) in turn follow as [32] …”

Section: Current and Noise In A Reduced Density Matrix Approachmentioning

confidence: 99%

Fano stability diagram of a symmetric triple quantum dot

et al. 2017

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The Fano factor stability diagram of a C 3v symmetric triangular quantum dot is analyzed for increasing electron fillings N . At low filling, conventional Poissonian and sub-Poissonian behavior is found. At larger filling, N 2, a breaking of the electron-hole symmetry is manifested in super-Poissonian noise with a peculiar bias voltage dependence of the Fano factor at Coulomb and interference blockade. An analysis of the Fano map unravels a nontrivial electron-bunching mechanism arising from the presence of degenerate many-body states combined with orbital interference and Coulomb interactions. An expression for the associated dark states is provided for generic N .

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“…All the relevant transport properties can be related to the Taylor coefficients of the cumulant generating function [62][63][64][65][66] and obtained in an iterative scheme.…”

Section: B Master-equation and Transport Coefficientsmentioning

confidence: 99%

Double quantum dot Cooper-pair splitter at finite couplings

et al. 2016

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We consider the sub-gap physics of a hybrid double-quantum dot Cooper-pair splitter with large single-level spacings, in the presence of tunnelling between the dots and finite Coulomb intra-and inter-dot Coulomb repulsion. In the limit of a large superconducting gap, we treat the coupling of the dots to the superconductor exactly. We employ a generalized master-equation method which easily yields currents, noise and cross-correlators. In particular, for finite inter-and intra-dot Coulomb interaction, we investigate how the transport properties are determined by the interplay between local and nonlocal tunneling processes between the superconductor and the dots. We examine the effect of inter-dot tunneling on the particle-hole symmetry of the currents with and without spinorbit interaction. We show that spin-orbit interaction in combination with finite Coulomb energy opens the possibility to control the nonlocal entanglement and its symmetry (singlet/triplet). We demonstrate that the generation of nonlocal entanglement can be achieved even without any direct nonlocal coupling to the superconducting lead.

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Shot noise in non-adiabatically driven nanoscale conductors

Cited by 25 publications

References 85 publications

Full-counting statistics of time-dependent conductors

Full-counting statistics of time-dependent conductors

Fano stability diagram of a symmetric triple quantum dot

Double quantum dot Cooper-pair splitter at finite couplings

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