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We find the distribution of transmission eigenvalues in a series of identical junctions between chaotic cavities using the circuit theory of mesoscopic transport. This distribution rapidly approaches the diffusive wire limit as the number…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Mihajlo Vanevic , Wolfgang Belzig

We bring together the semiclassical approximation, matrix integrals and the theory of symmetric polynomials in order to solve a long standing problem in the field of quantum chaos: to compute transport moments when tunnel barriers are…

Mesoscale and Nanoscale Physics · Physics 2022-07-04 Lucas H. Oliveira , Pedro H. S. Bento , Marcel Novaes

Despite several experiments on chaotic quantum transport in two-dimensional systems such as semiconductor quantum dots, corresponding quantum simulations within a real-space model have been out of reach so far. Here we carry out quantum…

Mesoscale and Nanoscale Physics · Physics 2013-10-31 Ville Kotimaki , Esa Rasanen , Holger Hennig , Eric J. Heller

Applying random matrix theory to quantum transport in chaotic cavities, we develop a novel approach to computation of the moments of the conductance and shot-noise (including their joint moments) of arbitrary order and at any number of open…

Mesoscale and Nanoscale Physics · Physics 2009-09-07 B. A. Khoruzhenko , D. V. Savin , H. -J. Sommers

We consider the current fluctuations in a mesoscopic circuit consisting of nodes connected by arbitrary connectors, in a setup with multiple normal or superconducting terminals. In the limit of weak superconducting proximity effect,…

Superconductivity · Physics 2007-05-23 P. Virtanen , T. T. Heikkila

We analyze a systematic algorithm for the exact computation of the current cumulants in stochastic nonequilibrium systems, recently discussed in the framework of full counting statistics for mesoscopic systems. This method is based on…

Statistical Mechanics · Physics 2010-06-17 Marco Baiesi , Christian Maes , Karel Netočný

We calculate the system-size-over-wave-length ($M$) dependence of sample-to-sample conductance fluctuations, using the open kicked rotator to model chaotic scattering in a ballistic quantum dot coupled by two $N$-mode point contacts to…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 J. Tworzydlo , A. Tajic , C. W. J. Beenakker

We develop a quantitative semiclassical theory for the resosnant tunneling through a quantum well in a tilted magnetic field. It is shown, that in the leading semiclassical approximation the tunneling current depends only on periodic orbits…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 E. E. Narimanov , A. D. Stone

We investigate the transport properties of open quantum chaotic systems in the semiclassical limit. We show how the transmission spectrum, the conductance fluctuations, and their correlations are influenced by the underlying chaotic…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Ph. Jacquod , E. V. Sukhorukov

The Kubo formula for the conductance of classically chaotic systems is analyzed semiclassically, yielding simple expressions for the mean and the variance of the quantum interference terms. In contrast to earlier work, here times longer…

Condensed Matter · Physics 2016-08-31 Nathan Argaman

We show that in clean chaotic cavities the power of shot noise takes a universal form. Our predictions go beyond previous results from random-matrix theory, in covering the experimentally relevant case of few channels. Following a…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Petr Braun , Stefan Heusler , Sebastian Müller , Fritz Haake

Work in closed quantum systems is usually defined by a two-point measurement. This definition of work is compatible with quantum fluctuation theorems but it fundamentally differs from its classical counterpart. In this paper, we study the…

Quantum Physics · Physics 2018-02-16 Ignacio García-Mata , Augusto J. Roncaglia , Diego A. Wisniacki

A semiclassical approach to the calculation of transport moments $M_m={\rm Tr}[(t^\dag t)^m]$, where $t$ is the transmission matrix, was developed in [M. Novaes, Europhys. Lett. 98, 20006 (2012)] for chaotic cavities with two leads and…

Chaotic Dynamics · Physics 2013-02-14 Marcel Novaes

The Fourier analysis of the final particle distribution followed by cumulant study of the Fourier coefficient event-by-event fluctuation is one of the main approaches for testing the collective evolution in the heavy-ion collision. Using a…

Nuclear Theory · Physics 2021-07-15 Seyed Farid Taghavi

The capacitance of mesoscopic samples depends on their geometry and physical properties, described in terms of characteristic times scales. The resulting ac admittance shows sample to sample fluctuations. Their distribution is studied here…

Condensed Matter · Physics 2009-10-28 Victor A. Gopar , Pier A. Mello , Markus Buttiker

We consider a measurement of finite-frequency current fluctuations, using a resonance circuit as a model for the detector. We arrive at an expression for the measurable response in terms of the current-current correlators which differs from…

Mesoscale and Nanoscale Physics · Physics 2008-03-04 G. B. Lesovik , R. Loosen

Quantized, compact graphs were shown to be excellent paradigms for quantum chaos in bounded systems. Connecting them with leads to infinity we show that they display all the features which characterize scattering systems with an underlying…

chao-dyn · Physics 2009-10-31 Tsampikos Kottos , U. Smilansky

We consider the measurement of the third cumulant of current fluctuations arising from a point contact, employing the transitions that they cause in a quantum detector connected to the contact. We detail two generic detectors: a quantum…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Tero T. Heikkila , Teemu Ojanen

Quantum mechanics requires that identical particles are treated as indistinguishable. This requirement leads to correlations in the fluctuating properties of a system. Theoretical predictions are made for an experiment on a multi-lead…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 S. A. van Langen , M. Buttiker

The Kubo formula for the conductance of a mesoscopic system is analyzed semiclassically, yielding simple expressions for both weak localization and universal conductance fluctuations. In contrast to earlier work which dealt with times…

Condensed Matter · Physics 2009-10-28 Nathan Argaman