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The Cooper pair shuttle is a simple model system that combines features of coherent and incoherent transport. We evaluate the full counting statistics (FCS) of charge transfer via the shuttle in the incoherent regime. We describe two…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Alessandro Romito , Yu. V. Nazarov

We optimize the operation of single-electron charge pumps using full counting statistics techniques. To this end, we evaluate the statistics of pumped charge on a wide range of driving frequencies using Floquet theory, focusing here on the…

Mesoscale and Nanoscale Physics · Physics 2019-01-28 Elina Potanina , Kay Brandner , Christian Flindt

We study the full charge counting statistics of a charge pump based on a nearly open single electron transistor. The problem is mapped onto an exactly soluble problem of a g=1/2 non-equilibrium Luttinger liquid with an impurity. We obtain…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 A. V. Andreev , E. G. Mishchenko

We discuss the Full Counting Statistics of non-commuting variables with the measurement of successive spin counts in non-collinear directions taken as an example. We show that owing to an irreducible detector back-action, the FCS in this…

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

Provided the measuring time is short enough, the full counting statistics (FCS) of the charge pumped across a barrier as a result of a series of voltage pulses are shown to be equivalent to the geometry of two planes. This formulation leads…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Y. B. Sherkunov , A. Pratap , B. Muzykantskii , N. d'Ambrumenil

We present a stochastic path integral method to calculate the full counting statistics of conductors with energy conserving dephasing probes and dissipative voltage probes. The approach is explained for the experimentally important case of…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 S. Pilgram , P. Samuelsson , H. Forster , M. Buttiker

Time-dependent driving influences the quantum and thermodynamic fluctuations of a system, changing the familiar physical picture of electronic noise which is an important source of information the about microscopic mechanism of quantum…

Mesoscale and Nanoscale Physics · Physics 2020-11-25 Thomas D. Honeychurch , Daniel S. Kosov

Full counting statistics (FCS) of charge transfer in mesoscopic systems has recently become a subject of significant interest, since it proves to reveal an important information about the system which can be hardly assessed by other means.…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 D. A. Bagrets , Yu. V. Nazarov

Full counting statistics (FCS) is a dynamical generalisation of the free energy, encapsulating detailed information about the distribution and large-scale correlation functions of conserved charges and their associated currents. In this…

Statistical Mechanics · Physics 2026-01-09 Botond C. Nagy , Marton Kormos , Gabor Takacs

We study the effect of the flux noise on the Cooper pair current and pumping. We generalize the definition of the current in order to take into account the contribution induced by the environment. It turns out that this dissipative current…

Quantum Physics · Physics 2013-05-30 P. Solinas , M. Möttönen , J. Salmilehto , J. P. Pekola

We present a scalable protocol for measuring full counting statistics (FCS) in experiments or tensor-network simulations. In this method, an ancilla in the middle of the system acts as a turnstile, with its phase keeping track of the…

Quantum Physics · Physics 2025-01-03 Rhine Samajdar , Ewan McCulloch , Vedika Khemani , Romain Vasseur , Sarang Gopalakrishnan

We investigate the full counting statistics (FCS) of spin-conserving and spin-flip charge transitions in Pauli-spin blockade regime of a GaAs double quantum dot. A theoretical model is proposed to evaluate all spin-conserving and spin-flip…

Mesoscale and Nanoscale Physics · Physics 2020-07-29 Sadashige Matsuo , Kazuyuki Kuroyama , Shunsuke Yabunaka , Sascha R. Valentin , Arne Ludwig , Andreas D. Wieck , Seigo Tarucha

In quantum mechanics, the probability distribution function (PDF) and full counting statistics (FCS) play a fundamental role in characterizing the fluctuations of quantum observables, as they encode the complete information about these…

Quantum Physics · Physics 2025-10-29 Lata Kh Joshi , Filiberto Ares , Manoj K. Joshi , Christian F. Roos , Pasquale Calabrese

We investigate the full counting statistics of charge transport in $U(1)$-symmetric random unitary circuits. We consider an initial mixed state prepared with a chemical potential imbalance between the left and right halves of the system,…

Quantum Physics · Physics 2023-12-04 Ewan McCulloch , Jacopo De Nardis , Sarang Gopalakrishnan , Romain Vasseur

We discuss how threshold detectors can be used for a direct measurement of the full counting statistics (FCS) of current fluctuations and how to implement Jose phson junctions in this respect. We propose a scheme to characterize the full co…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 J. Tobiska , Yu. V. Nazarov

The coherent potential approximation (CPA) within full counting statistics (FCS) formalism is shown to be a suitable method to investigate average electric conductance, shot noise as well as higher order cumulants in disordered systems. We…

Mesoscale and Nanoscale Physics · Physics 2021-02-05 Chao Zhang , Fuming Xu , Jian Wang

The charge transported when a quantum pump is adiabatically driven by time-dependent external forces in presence of dissipation is given by the line integral of a pumping field $\mathbf{F}$. We give a general expression of $\mathbf{F}$ in…

Quantum Physics · Physics 2014-09-29 Juzar Thingna , Peter Hänggi , Rosario Fazio , Michele Campisi

Full counting statistics (FCS) for the transport through a molecular quantum dot magnet is studied theoretically in the incoherent tunneling regime. We consider a model describing a single-level quantum dot, magnetically coupled to an…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Ken-Ichiro Imura , Yasuhiro Utsumi , Thierry Martin

We propose a method to perform accurate and fast charge pumping in superconducting nanocircuits. Combining topological properties and quantum control techniques based on shortcuts to adiabaticity, we show that it is theoretically possible…

Mesoscale and Nanoscale Physics · Physics 2019-12-24 Paolo Andrea Erdman , Fabio Taddei , Joonas T. Peltonen , Rosario Fazio , Jukka P. Pekola

The complete characterisation of the charge transport in a mesoscopic device is provided by the Full Counting Statistics (FCS) $P_t(m)$, describing the amount of charge $Q = me$ transmitted during the time $t$. Although numerous systems…

Mesoscale and Nanoscale Physics · Physics 2016-04-15 A. V. Lebedev , G. B. Lesovik , G. Blatter
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