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We study the current statistics in normal diffusive conductors in contact with a superconductor. Using an extension of the Keldysh Green's function method we are able to find the full distribution of charge transfers for all temperatures…

Superconductivity · Physics 2009-11-07 W. Belzig , Yu. V. Nazarov

We study the dynamics of the spin and cavity field of the Tavis-Cummings model using quasi-probability distribution functions and second order coherence function, respectively. The effects of (non)-Markovian noise are considered. The…

Quantum Physics · Physics 2023-06-29 Devvrat Tiwari , Subhashish Banerjee

We study the effect of Coulomb interaction on the full counting statistics of an Aharonov-Bohm (AB) interferometer with a single-level quantum dot in one arm in the regime of weak dot-lead and lead-lead tunnel couplings. In the absence of…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Daniel Urban , Jürgen König , Rosario Fazio

The very large transverse momenta and large multiplicities available in present LHC experiments on pp collisions allow a much closer look at the corresponding distributions. Some time ago we discussed a possible physical meaning of apparent…

High Energy Physics - Phenomenology · Physics 2018-11-27 Grzegorz Wilk , Zbigniew Wlodarczyk

The fluctuations of electrical current provide information on the dynamics of electrons in quantum devices. Understanding the nature of these fluctuations in a quantum dot is thus a crucial step insofar as this system is the elementary…

Mesoscale and Nanoscale Physics · Physics 2018-10-08 A. Crépieux , S. Sahoo , T. Q. Duong , R. Zamoum , M. Lavagna

In this tutorial, we present the definition, interpretation and properties of some of the main quasiprobabilities that can describe the statistics of measurement outcomes evaluated at two or more times. Such statistics incorporate the…

Quantum Physics · Physics 2024-09-23 Stefano Gherardini , Gabriele De Chiara

We study full counting statistics of coherent electron transport through multi-terminal interacting quantum-dots under a finite magnetic field. Microscopic reversibility leads to the symmetry of the cumulant generating function, which…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Keiji Saito , Yasuhiro Utsumi

The Born probability measure describes the statistics of measurements in which observers self-locate themselves in some region of reality. In $\psi$-ontic quantum theories, reality is directly represented by the wavefunction. We show that…

Quantum Physics · Physics 2023-12-27 Michael Ridley

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

In this paper we discuss quantum-like decision-making experiments using negative probabilities. We do so by showing how the two-slit experiment, in the simplified version of the Mach-Zehnder interferometer, can be described by this…

Data Analysis, Statistics and Probability · Physics 2015-06-19 J. Acacio de Barros , Gary Oas

Inspired by recent advances in cold atomic systems and non-equilibrium physics, we introduce a novel characterization scheme, the time of flight full counting statistics. We benchmark this method on an interacting one dimensional Bose gas,…

Quantum Gases · Physics 2022-04-18 Izabella Lovas , Balázs Dóra , Eugene Demler , Gergely Zaránd

We analyze statistical consequences of a conjecture that there exists a fundamental (indivisible) quant of time. We study particle dynamics with discrete time. We show that a quantum-like interference pattern could appear as a statistical…

Quantum Physics · Physics 2007-05-23 Andrei Khrennikov , Yaroslav Volovich

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

The origin of non-classical correlations is difficult to identify since the uncertainty principle requires that information obtained about one observable invariably results in the disturbance of any other non-commuting observable. Here,…

Quantum Physics · Physics 2014-07-01 Holger F. Hofmann

A method to calculate the statistics of energy exchange between quantum systems is presented. The generating function of this statistics is expressed through a Keldysh path integral. The method is first applied to the problem of heat…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 M. Kindermann , S. Pilgram

We present an analytical and numerical study of the fluorescence spectra of a bistable driven system by means of Keldysh diagram technique in pseudo--particle representation. The spectra exhibit smooth transition between ultra-quantum and…

Mesoscale and Nanoscale Physics · Physics 2020-10-07 Evgeny V. Anikin , Natalya S. Maslova , Nikolay A. Gippius , Igor M. Sokolov

Change point tests for abrupt changes in the mean of functional data, i.e., random elements in infinite-dimensional Hilbert spaces, are either based on dimension reduction techniques, e.g., based on principal components, or directly based…

Statistics Theory · Mathematics 2026-01-23 Claudia Kirch , Hedvika Ranošová , Martin Wendler

We examine the full counting statistics of quantum dots, which display super-Poissonian shot noise. By an extension to a generic situation with many excited states we identify the underlying transport process. The statistics is a sum of…

Strongly Correlated Electrons · Physics 2007-05-23 W. Belzig

Measurement-induced phase transitions have largely been explored for projective or continuous measurements of Hermitian observables, assuming perfect detection without information loss. Yet such transitions also arise in more general…

Quantum Physics · Physics 2025-12-19 Felix Kloiber-Tollinger , Lukas M. Sieberer

We present a theory of full counting statistics for electron transport through interacting electron systems with non-Markovian dynamics. We illustrate our approach for transport through a single-level quantum dot and a metallic…

Strongly Correlated Electrons · Physics 2007-05-23 Alessandro Braggio , Jürgen König , Rosario Fazio