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The statistics of charge transport across a tunnel junction with energy-dependent scattering is investigated. A model with quadratic dispersion relation is discussed in general and, independently, in the two limiting cases of a large…

Mesoscale and Nanoscale Physics · Physics 2015-06-15 Vincent Beaud , Gian Michele Graf , Andrei V. Lebedev , Gordey B. Lesovik

We have studied the effect of limited statistics of data on measurement of the different order of cumulants of net-proton distribution assuming that the proton and antiproton distributions follow Possionian and Binomial distributions with…

Nuclear Experiment · Physics 2019-10-02 Ashish Pandav , Debasish Mallick , Bedangadas Mohanty

Low-temperature transport experiments on a p-type GaAs quantum dot capacitively coupled to a quantum point contact are presented. The time-averaged as well as time-resolved detection of charging events of the dot are demonstrated and they…

Mesoscale and Nanoscale Physics · Physics 2013-07-15 Y. Komijani , T. Choi , F. Nichele , K. Ensslin , T. Ihn , D. Reuter , A. D. Wieck

A quantum dot is a sub-micron-scale conducting device containing up to several thousand electrons. Transport through a quantum dot at low temperatures is a quantum-coherent process. This review focuses on dots in which the electron's…

Mesoscale and Nanoscale Physics · Physics 2008-11-26 Y. Alhassid

We study the effect of electron tunneling on the level statistics of quantum dots. While the coupling between individual levels and the electron reservoir leads predominantly to the expected level broadening, the indirect coupling of…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Jürgen König , Yuval Gefen , Gerd Schön

We investigate the effect of quantum interferences and Coulomb interaction on the counting statistics of electrons crossing a double quantum dot in a parallel geometry using a generating function technique based on a quantum master equation…

Mesoscale and Nanoscale Physics · Physics 2008-05-26 Sven Welack , Massimiliano Esposito , Upendra Harbola , Shaul Mukamel

We study the influence of measured high cumulants of conserved charges on their associated statistical uncertainties in relativistic heavy-ion collisions. With a given number of events, the measured cumulants randomly fluctuate with an…

Nuclear Theory · Physics 2017-09-08 Li-Zhu Chen , Ye-Yin Zhao , Xue Pan , Zhi-Ming Li , Yuan-Fang Wu

Higher order symmetric cumulants of global collective observables in heavy ion collisions are studied. The symmetric cumulants can be straightforwardly constructed for scalar observables: the average transverse momentum, the multiplicity,…

Nuclear Theory · Physics 2024-02-21 Piotr Bozek , Rupam Samanta

Full counting statistics is a powerful tool to characterize the noise and correlations in transport through mesoscopic systems. In this work, we propose the theory of conditional spin counting statistics, i.e., the statistical fluctuations…

Mesoscale and Nanoscale Physics · Physics 2014-02-18 JunYan Luo , Jing Hu , XiaoLi Lang , Yu Shen , Xiao-Ling He , HuJun Jiao

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

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 have measured second- and third-order cumulants in UA1 data ($\bar pp$ collisions at 630 GeV/c). Rather than quoting numerical values for source parameters, we have used these in three checks to test the ``quantum statistics'' theory for…

High Energy Physics - Phenomenology · Physics 2007-05-23 H. C. Eggers , B. Buschbeck , P. Lipa

We describe the conditional and unconditional dynamics of two coupled quantum dots when one dot is subjected to a measurement of its occupation number using a single electron transistor (SET). The measurement is made when the bare tunneling…

Mesoscale and Nanoscale Physics · Physics 2019-08-17 H. M. Wiseman , Dian Wahyu Utami , He Bi Sun , G. J. Milburn , B. E. Kane , A. Dzurak , R. G. Clark

We present the generalization of recently introduced observables for the studies of correlated fluctuations of different anisotropic flow amplitudes, dubbed Symmetric Cumulants. We introduce a new set of higher order observables and outline…

Nuclear Experiment · Physics 2020-08-19 Cindy Mordasini , Ante Bilandzic , Deniz Karakoç , Seyed Farid Taghavi

Quantum optomechanics describes the interaction between a confined field and a fluctuating wall due to radiation pressure. The dynamics of this system is typically understood using perturbation theory up to second order in the small…

Quantum Physics · Physics 2026-04-03 Alessandro Ferreri , Vincenzo Macrì , Yoshihiko Hasegawa , David Edward Bruschi

The statistical properties of the quantum chaotic spectra have been studied, so far, only up to the second order correlation effects. The numerical as well as the analytical evidence that random matrix theory can successfully model the…

Condensed Matter · Physics 2009-10-28 Pragya Shukla

We present measurements of transport through two tunnel-coupled quantum dots of different sizes connected in series in a strong, variable, perpendicular magnetic field. Double dot conductance was measured both as a function of magnetic…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 C. Livermore , D. S. Duncan , R. M. Westervelt , K. D. Maranowski , A. C. Gossard

We investigate the effect of a quantised vibrational mode on electron tunneling through a chain of three quantum dots. The outer dots are coupled to voltage leads, but the position of the central dot is not rigidly fixed. Motion of the…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 A. D. Armour , A. MacKinnon

Quantum transport in mesoscopic conductors is essentially governed by the laws of quantum mechanics. One of the major open questions of quantum mechanics is what happens if non-commuting observables are measured simultaneously. Since…

Mesoscale and Nanoscale Physics · Physics 2010-03-15 Adam Bednorz , Wolfgang Belzig

We have studied the dissipative dynamics of a solid-state qubit with an extra electron confined to either one of two coupled quantum dots. Previous theoretical work based on Bloch-type rate equations gave an unphysical uniform occupation…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Shi-Hua Ouyang , Chi-Hang Lam , J. Q. You