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We present a detailed theoretical investigation of the effect of Coulomb interactions on electron transport through quantum dots and double barrier structures connected to a voltage source via an arbitrary linear impedance. Combining real…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 Dmitri S. Golubev , Andrei D. Zaikin

We derive general expressions for the current and shot noise, taking into account non-Markovian memory effects. In generalization of previous approaches our theory is valid for arbitrary Coulomb interaction and coupling strength and is…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 A. Thielmann , M. H. Hettler , J. König , G. Schön

We consider electrical transport through single molecules coupled to metal electrodes via tunneling barriers. Approximating the molecule by the Anderson impurity model as the simplest model which includes Coulomb charging effects, we extend…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Axel Thielmann , Matthias H. Hettler , Jürgen König , Gerd Schön

We develop a statistical theory that describes quantum-mechanical scattering of a particle by a cavity when the geometry is such that the classical dynamics is chaotic. This picture is relevant to a variety of physical systems, ranging from…

Mesoscale and Nanoscale Physics · Physics 2016-12-21 Pier A. Mello , Victor A. Gopar , J. A. Mendez-Bermudez

We study how discrete-time quantum walks behave under short-range correlated noise. By considering noise as a source of inhomogeneity of quantum gates, we introduce a primitive relaxation in the assumption of uncorrelated stochastic noise:…

Quantum Physics · Physics 2025-10-13 Graça R. M. de Almeida , N. Amaral , A. R. C. Buarque , W. S. Dias

The shot noise in the electrical current through a ballistic chaotic quantum dot with N-channel point contacts is suppressed for N --> infinity, because of the transition from stochastic scattering of quantum wave packets to deterministic…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 A. Ossipov , J. H. Bardarson , C. W. J. Beenakker , J. Tworzydlo , M. Titov

The number of conducting channels for one propagating direction is equal to that for the other direction in ordinary quantum wires. However, they can be imbalanced in graphene nanoribbons with zigzag edges. Employing the model system in…

Mesoscale and Nanoscale Physics · Physics 2015-05-20 Yositake Takane

We have investigated the noise properties of the tunneling current through vertically coupled self-assembled InAs quantum dots. We observe super-Poissonian shot noise at low temperatures. For increased temperature this effect is suppressed.…

Mesoscale and Nanoscale Physics · Physics 2011-03-22 P. Barthold , F. Hohls , N. Maire , K. Pierz , R. J. Haug

Theoretical and experimental work concerned with dynamic fluctuations has developed into a very active and fascinating subfield of mesoscopic physics. We present a review of this development focusing on shot noise in small electric…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 Ya. M. Blanter , M. Buttiker

Fluctuations pose fundamental limitations in making sensitive measurements, yet at the same time, noise unravels properties that are inaccessible at the level of the averaged signal. In electronic devices, shot noise arises from the…

Mesoscale and Nanoscale Physics · Physics 2019-07-22 Anqi Mu , Ofir Shein Lumbroso , Oren Tal , Dvira Segal

Synchronization is a widespread phenomenon encountered in many natural and engineered systems with nonlinear classical dynamics. How synchronization concepts and mechanisms transfer to the quantum realm and whether features are universal or…

Mesoscale and Nanoscale Physics · Physics 2024-11-12 Florian Höhe , Lukas Danner , Ciprian Padurariu , Brecht I. C Donvil , Joachim Ankerhold , Björn Kubala

Random matrix theory can be used to describe the transport properties of a chaotic quantum dot coupled to leads. In such a description, two approaches have been taken in the literature, considering either the Hamiltonian of the dot or its…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 M L Polianski , P W Brouwer

We study the transport properties of two double quantum dots in a parallel arrangement at temperatures of a few Kelvin. Thereby, we show that decoherence entailed by the substrate phonons affects the shot noise. For asymmetric coupling…

Mesoscale and Nanoscale Physics · Physics 2008-01-10 Rafael Sánchez , Sigmund Kohler , Peter Hänggi , Gloria Platero

We investigate current fluctuations in non-degenerate semiconductors, on length scales intermediate between the elastic and inelastic mean free paths. We present an exact solution of the non-linear kinetic equations in the regime of…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 H. Schomerus , E. G. Mishchenko , C. W. J. Beenakker

We investigate the shot noise generated by particle emission from a mesoscopic capacitor into an edge state reflected and transmitted at a quantum point contact (QPC). For a capacitor subject to a periodic voltage the resulting shot noise…

Mesoscale and Nanoscale Physics · Physics 2008-10-16 S. Ol'khovskaya , J. Splettstoesser , M. Moskalets , M. Buttiker

A theory is developed for the emission noise at frequency $\nu$ in a quantum dot in the presence of Coulomb interactions and asymmetric couplings to the reservoirs. We give an analytical expression for the noise in terms of the various…

Mesoscale and Nanoscale Physics · Physics 2018-03-15 A. Crépieux , S. Sahoo , T. Q. Duong , R. Zamoum , M. Lavagna

Electronic transport through chaotic quantum dots exhibits universal, system independent, properties, consistent with random matrix theory. The quantum transport can also be rooted, via the semiclassical approximation, in sums over the…

Chaotic Dynamics · Physics 2013-03-06 Gregory Berkolaiko , Jack Kuipers

We have derived a general formula describing current noise in multimode ballistic channels connecting source and drain electrodes with Fermi electron gas. In particular (at $eV\gg k_{B}T$), the expression describes the nonequilibrium…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Y. Naveh , A. N. Korotkov , K. K. Likharev

We investigate the effect of quantum noise on the measurement-induced quantum phase transition in monitored random quantum circuits. Using the efficient simulability of random Clifford circuits, we find that the transition is broadened into…

Quantum Physics · Physics 2022-08-31 Beatriz C. Dias , Domagoj Perkovic , Masudul Haque , Pedro Ribeiro , Paul A. McClarty

We evaluate the ensemble averaged noise in a chaotic quantum dot subject to DC bias and a periodic perturbation of frequency $\Omega$. The noise displays cusps at bias $V_n=n\hbar\Omega/e$ that survive the average, even when the period of…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 A. Lamacraft