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We derive the full distribution of transmitted particles through a superconducting point contact of arbitrary transparency under voltage bias. The charge transport is dominated by multiple Andreev reflections. The counting statistics is a…

Superconductivity · Physics 2009-11-10 J. C. Cuevas , W. Belzig

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 present a theory for the full distribution of current fluctuations in incoherent diffusive superconducting junctions, subjected to a voltage bias. This theory of full counting statistics of incoherent multiple Andreev reflections is…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 P. Samuelsson

We study the charge transport statistics in coherent two-terminal double junctions within the framework of the circuit theory of mesoscopic transport. We obtain the general solution of the circuit-theory matrix equations for the Green's…

Superconductivity · Physics 2007-05-23 Mihajlo Vanevic , Wolfgang Belzig

We calculate the full transport counting statistics in a three-terminal tunnel device with one superconducting source and two normal-metal or ferromagnet drains. We obtain the transport probability distribution from direct Andreev…

Mesoscale and Nanoscale Physics · Physics 2009-01-23 Jan Petter Morten , Daniel Huertas-Hernando , Wolfgang Belzig , Arne Brataas

We present a general theory for the full counting statistics of multiple Andreev reflections in incoherent superconducting-normal-superconducting contacts. The theory, based on a stochastic path integral approach, is applied to a…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 S. Pilgram , P. Samuelsson

Destructive interference of single-electron tunneling between three quantum dots can trap an electron in a coherent superposition of charge on two of the dots. Coupling to external charges causes decoherence of this superposition, and in…

Mesoscale and Nanoscale Physics · Physics 2007-06-13 C. W. Groth , B. Michaelis , C. W. J. Beenakker

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 study the full counting statistics of electric current to several drain terminals with spin-dependent entrance conductances. We show that the statistics of charge transfers can be interpreted in terms of single electrons and spin-singlet…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Antonio Di Lorenzo , Yuli V. Nazarov

We present an extension of the Keldysh-Green's function method, which allows to calculate the full distribution of transmitted particles through a mesoscopic superconductor. The method is applied to the statistics of supercurrent in short…

Superconductivity · Physics 2009-10-31 W. Belzig , Yu. V. Nazarov

We theoretically study coherent multiple Andreev reflections in a biased three-terminal Josephson junction. We demonstrate that the direct current flowing through the junction consists of supercurrent components when the bias voltages are…

Mesoscale and Nanoscale Physics · Physics 2019-02-22 M. P. Nowak , M. Wimmer , A. R. Akhmerov

Non-linear charge transport in SIS Josephson junctions has a unique signature in the shuttled charge quantum between the two superconductors. In the zero-bias limit Cooper pairs, each with twice the electron charge, carry the Josephson…

Mesoscale and Nanoscale Physics · Physics 2016-02-09 Yuval Ronen , Yonatan Cohen , Jung-Hyun Kang , Arbel Haim , Maria-Theresa Rieder , Moty Heiblum , Diana Mahalu , Hadas Shtrikman

We discuss how to detect fluctuating spin currents and derive full counting statistics of electron spin transfers. It is interesting to consider several detectors in series that simultaneously monitor different components of the spins…

Condensed Matter · Physics 2009-11-10 Antonio Di Lorenzo , Yuli V. Nazarov

We study full counting statistics of electron transport through a Majorana single-charge transistor. At low bias voltage, transport is dominated by the so-called Josephson-Majorana cycle, a sequence of normal and anomalous single-charge and…

Mesoscale and Nanoscale Physics · Physics 2023-05-12 Eric Kleinherbers , Alexander Schünemann , Jürgen König

When a mesoscopic conductor is coupled to a high-quality electromagnetic cavity the flow of charges and the flux of photons leaking out of the cavity can both depend strongly on the coupled quantum dynamics of the system. Using a…

Mesoscale and Nanoscale Physics · Physics 2016-06-08 Björn Kubala , Joachim Ankerhold , A. D. Armour

We study the full-counting statistics of charges transmitted through a single-level quantum dot weakly coupled to a local Einstein phonon which causes fluctuations in the dot energy. An analytic expression for the cumulant generating…

Mesoscale and Nanoscale Physics · Physics 2013-03-12 Y. Utsumi , O. Entin-Wohlman , A. Ueda , A. Aharony

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

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 employ a single-charge counting technique to measure the full counting statistics (FCS) of Andreev events in which Cooper pairs are either produced from electrons that are reflected as holes at a superconductor/normal-metal interface or…

Mesoscale and Nanoscale Physics · Physics 2014-01-27 V. F. Maisi , D. Kambly , C. Flindt , J. P. Pekola

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
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