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The basic quantum mechanical relation between fluctuations of transported charge and current correlators is discussed. It is found that, as a rule, the correlators are to be time-ordered in an unusual way. Instances where the difference…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 S. Bachmann , G. M. Graf , G. B. Lesovik

The charge transfer statistics of a tunnel junction coupled to a quantum object is studied using the charge projection technique. The joint dynamics of the quantum object and the number of charges transferred through the junction is…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 J. Wabnig , D. V. Khomitsky , J. Rammer , A. L. Shelankov

We present measurements of the time-dependent fluctuations in electrical current in a voltage-biased tunnel junction. We were able to simultaneously extract the first three moments of the tunnel current counting statistics. Detailed…

Mesoscale and Nanoscale Physics · Physics 2008-04-12 Yu. Bomze , G. Gershon , D. Shovkun , L. S. Levitov , M. Reznikov

Charge transfer statistics of quantum particles is obtained by analysing the time evolution of the many-body wave function. Exploiting properly chosen gauge transformations, we construct the probabilities for transfers of a discrete number…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 A. Shelankov , J. Rammer

We derive constraints on the statistics of the charge transfer between two conductors in the model of arbitrary time-dependent instant scattering of non-interacting fermions at zero temperature. The constraints are formulated in terms of…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 A. G. Abanov , D. A. Ivanov

We present an investigation of the energy dependence of the full charge counting statistics in diffusive normal-insulating-normal-insulating-superconducting junctions. It is found that the current in general is transported via a correlated…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 P. Samuelsson

Measurements of single electron tunneling through a quantum dot using a quantum point contact as charge detector have been performed for very long time traces with very large event counts. This large statistical basis is used for a detailed…

Mesoscale and Nanoscale Physics · Physics 2010-06-04 Christian Fricke , Frank Hohls , Nandhavel Sethubalasubramanian , Lukas Fricke , Rolf J. Haug

In low temperature limit, we study electron counting statistics of a disordered conductor. We derive an expression for the distribution of charge transmitted over a finite time interval by using a result from the random matrix theory of…

Condensed Matter · Physics 2008-04-12 Hyunwoo Lee , A. Yu. Yakovetz , L. S. Levitov

We review several ways of defining the statistics of charge that is transmitted through an electric circuit, the so-called "counting statistics". We first pursue two approaches that explain the origin of "negative probabilities" that have…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Markus Kindermann , Yuli V. Nazarov

We theoretically consider charge transport through two quantum dots coupled in series. The corresponding full counting statistics for noninteracting electrons is investigated in the limits of sequential and coherent tunneling by means of a…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 G. Kiesslich , P. Samuelsson , A. Wacker , E. Schoell

In order to fully characterize the noise associated with electron transport, with its severe consequences for solid-state quantum information systems, the theory of full counting statistics has been developed. It accounts for correlation…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 D. A. Bagrets , Y. Utsumi , D. S. Golubev , G. Schoen

We propose a highly-scalable method to compute the statistics of charge transfer in driven conductors. The framework can be applied in situations of non-zero temperature, strong coupling to terminals and in the presence of non-periodic…

We consider the counting statistics of electron transport through a double quantum dot with special emphasis on the dephasing induced by a nearby charge detector. The double dot is embedded in a dissipative enviroment, and the presence of…

Mesoscale and Nanoscale Physics · Physics 2009-01-08 Alessandro Braggio , Christian Flindt , Tomas Novotny

The counting statistics (CS) for charges passing through a coherent conductor is the most general quantity that characterizes electronic transport. CS not only depends on the transport properties of the conductor but also depends on the…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Fabio Taddei , Rosario Fazio

We analyze the transport properties of a semiconductor based bilayer system under non-equilibrium conditions with special emphasis on the charge transfer statistics in the regime dominated by the exciton transport. We consider two different…

Mesoscale and Nanoscale Physics · Physics 2013-08-06 H. Soller , A. Komnik

We review some known facts in the transport theory of mesoscopic systems, including counting statistics, and discuss its relation with the mathematical treatment of open systems.

Mathematical Physics · Physics 2017-08-23 S. Bachmann , G. M. Graf

We consider a tunnel junction between two arbitrary non-linear systems in any dimension, which can be different. We show that the tunneling charge can be detected using three alternative methods based on current measurements. Besides being…

Mesoscale and Nanoscale Physics · Physics 2015-05-18 Ines Safi , Eugene V. Sukhorukov

The distribution function of transmitted charge through a double-barrier junction is studied at zero temperature and at small applied voltage. Both a semiclassical model, in which the transport is described by jump rates, and a quantum…

Condensed Matter · Physics 2009-10-28 M. J. M. de Jong

We explore the full counting statistics of single electron tunneling through a quantum dot using a quantum point contact as non-invasive high bandwidth charge detector. The distribution of counted tunneling events is measured as a function…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 C. Fricke , F. Hohls , W. Wegscheider , R. J. Haug

This study applies response theory to investigate electron charge dynamics, with a particular focus on charge separation. We analytically assess the strengths and limitations of linear and quadratic response theories in describing charge…

Materials Science · Physics 2026-02-11 Lionel Lacombe , Lucia Reining , Vitaly Gorelov
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