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We consider the measurement of the third cumulant of current fluctuations arising from a point contact, employing the transitions that they cause in a quantum detector connected to the contact. We detail two generic detectors: a quantum…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Tero T. Heikkila , Teemu Ojanen

Employing the non-linear $\sigma$-model we analyze current fluctuations in coherent composite conductors which contain a diffusive element in-between two tunnel barriers. For such systems we explicitly evaluate the frequency-dependent third…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 A. V. Galaktionov , A. D. Zaikin

We analyze the frequency-dependent current fluctuations induced into a gate near a quantum point contact or a quantum chaotic cavity. We use a current and charge conserving, effective scattering approach in which interactions are treated in…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 M. H. Pedersen , S. A. van Langen , M. Buttiker

We calculate the counting statistics of electron transfer through an open quantum dot with charging interaction. A dot that is connected to leads by two single-channel quantum point contacts in an in-plane magnetic field is described by a…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Markus Kindermann , Bjoern Trauzettel

We report the measurement of the third moment of current fluctuations in a short metallic wire at low temperature. The data are deduced from the statistics of voltage fluctuations across the conductor using a careful determination of…

Mesoscale and Nanoscale Physics · Physics 2018-07-18 Edouard Pinsolle , Samuel Houle , Christian Lupien , Bertrand Reulet

We investigate the transitions induced by external current fluctuations on a small probe quantum system. The rates for the transitions between the energy states are calculated using the real-time Keldysh formalism for the density matrix…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 T. Ojanen , T. T. Heikkila

We summarize the main results of a microscopically based kinetic theory, applicable to open quantum point contacts (QPCs) driven up to high fields. The governing role of gauge invariance -- and the many-body sum rules for the electron gas…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Mukunda P. Das , Frederick Green , Jagdish S. Thakur

We study single-electron transport through a double quantum dot (DQD) monitored by a capacitively coupled quantum point-contact (QPC) electrometer. We derive the full counting statistics for the coupled DQD - QPC system and obtain the joint…

Mesoscale and Nanoscale Physics · Physics 2011-08-16 D. S. Golubev , Y. Utsumi , M. Marthaler , Gerd Schoen

Current fluctuations are a powerful tool to unravel the underlying physics of the observed transport process. This work discusses some general properties of the third and the fourth current cumulant (skewness and kurtosis) related to…

Mesoscale and Nanoscale Physics · Physics 2022-08-23 Krzysztof Ptaszynski

The statistics of electron transport in a quantum conductor is affected by fluctuations of its voltage bias. Here we show experimentally how a third order correlation in the electromagnetic field arises from the noise of a tunnel junction…

Mesoscale and Nanoscale Physics · Physics 2025-04-30 Clovis Farley , Edouard Pinsolle , Bertrand Reulet

We study theoretically transitions of a double quantum-dot qubit caused by nonequilibrium charge fluctuations in a nearby quantum point contact (QPC) used as a detector. We show that these transitions are related to the fundamental…

Mesoscale and Nanoscale Physics · Physics 2010-05-05 C. E. Young , A. A. Clerk

We verify the validity of the Cohen-Gallavotti fluctuation theorem for the strongly correlated problem of charge transfer through an impurity in a chiral Luttinger liquid, which is realizable experimentally as a quantum point contact in a…

Statistical Mechanics · Physics 2011-09-20 A. Komnik , H. Saleur

We describe the transport properties of a point contact under the influence of a classical two-level fluctuator. We employ a transfer matrix formalism allowing us to calculate arbitrary correlation functions of the stochastic process by…

Mesoscale and Nanoscale Physics · Physics 2011-11-03 Fabian Hassler , Gordey B. Lesovik , Gianni Blatter

The dynamics of a one-dimensional stochastic model is studied in presence of an absorbing boundary. The distribution of fluctuations is analytically characterized within the generalized van Kampen expansion, accounting for higher order…

Statistical Mechanics · Physics 2015-05-28 Claudia Cianci , Francesca Di Patti , Duccio Fanelli

We investigate bias-driven non-equilibrium quantum phase transitions in a paradigmatic quantum-transport setup: an interacting quantum dot coupled to non-interacting metallic leads. Using the Random Phase Approximation, which is exact in…

Strongly Correlated Electrons · Physics 2026-01-29 José F. B. Afonso , Stefan Kirchner , Pedro Ribeiro

We study fluctuations of electric current in a quantum resistor and derive a general quantum-mechanical formula for the distribution of transmitted charge. For that we introduce a scheme of current measurement that involves a spin $1/2$…

Condensed Matter · Physics 2007-05-23 L. S. Levitov , G. B. Lesovik

In the weak backscattering limit, point contact tunneling between quantum Hall edges is well described by a Poissonian process where Laughlin quasiparticles tunnel independently, leading to the unambiguous measurement of their fractional…

Condensed Matter · Physics 2009-10-31 H. Saleur , U. Weiss

We measure the transmission phase of a quantum point contact (QPC) at a low carrier density in which electron interaction is expected to play an important role and anomalous behaviors are observed. In the first conductance plateau, the…

Mesoscale and Nanoscale Physics · Physics 2013-07-01 Toshiyuki Kobayashi , Shoei Tsuruta , Satoshi Sasaki , Hiroyuki Tamura , Tatsushi Akazaki

We consider a quantum dot system whose charge fluctuations are monitored by a quantum point contact allowing for the detection of both charge and transferred heat statistics. Our system consists of two nearby conductors that exchange energy…

Mesoscale and Nanoscale Physics · Physics 2013-12-24 Rafael Sánchez , Markus Büttiker

In quantum transport through nanoscale devices, fluctuations arise from various sources: the discreteness of charge carriers, the statistical non-equilibrium that is required for device operation, and unavoidable quantum uncertainty. As…

Mesoscale and Nanoscale Physics · Physics 2019-09-04 Samuel L. Rudge , Daniel S. Kosov
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