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The statistics of quantum transport through chaotic cavities with two leads is encoded in transport moments $M_m={\rm Tr}[(t^\dag t)^m]$, where $t$ is the transmission matrix, which have a known universal expression for systems without…

Chaotic Dynamics · Physics 2012-05-09 Marcel Novaes

We study the Coulomb blockade in a chaotic cavity connected to a lead by a perfectly transmitting quantum channel. In contrast to the previous theories, we show that the quantum fluctuations of charge, resulting from the perfect…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 I. L. Aleiner , L. I. Glazman

We calculate the Landauer conductance through chaotic ballistic devices in the semiclassical limit, to all orders in the inverse number of scattering channels without and with a magnetic field. Families of pairs of entrance-to-exit…

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

Scanning gate microscopy measurements in a circular ballistic cavity with a tip placed near its center yield a non-monotonic dependence of the conductance on the tip voltage. Detailed numerical quantum calculations reproduce these…

Conductance and shot noise of an open cavity with diffusive boundary scattering are calculated within the Boltzmann-Langevin approach. In particular, conductance contains a non-universal geometric contribution, originating from the presence…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Ya. M. Blanter , E. V. Sukhorukov

The very notion of a current fluctuation is problematic in the quantum context. We study that problem in the context of nonequilibrium statistical mechanics, both in a microscopic setup and in a Markovian model. Our answer is based on a…

Statistical Mechanics · Physics 2015-05-14 Jan Derezinski , Wojciech De Roeck , Christian Maes

We study the wave transport through a disordered system inside a waveguide. The expectation value of the complex reflection and transmission coefficients (the coherent fields) as well as the transmittance and reflectance are obtained…

Disordered Systems and Neural Networks · Physics 2014-10-24 M. Yepez

The nonlinear dc conductance of a two-terminal chaotic cavity is investigated. The fluctuations of the conductance (anti)symmetric with respect to magnetic flux inversion through multichannel cavities are found analytically for arbitrary…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Mikhail L. Polianski , Markus Buttiker

We address the experimentally observed non-Gaussian fluctuations for the energy injected into a closed turbulent flow at fixed Reynolds number. We propose that the power fluctuations mirror the internal kinetic energy fluctuations. Using a…

Statistical Mechanics · Physics 2007-05-23 B. Portelli , P. C. W. Holdsworth , J. -F. Pinton

Fluctuation relations establish rigorous identities for the nonequilibrium averages of observables. Starting from a general transport master equation with time-dependent rates, we employ the stochastic path integral approach to study…

Statistical Mechanics · Physics 2010-10-21 A. Altland , A. De Martino , R. Egger , B. Narozhny

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

We deduce the effects of quantum interference on the conductance of chaotic cavities by using a statistical ansatz for the S matrix. Assuming that the circular ensembles describe the S matrix of a chaotic cavity, we find that the…

Condensed Matter · Physics 2009-10-22 Harold U. Baranger , Pier A. Mello

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

Quantum conductance of 3D ballistic wires with idealy flat boundaries obeys fluctuations with the properties quite distinguishable from those of universal conductance fluctuations: Both their amplitude and the sensitivity to the magnetic…

Condensed Matter · Physics 2016-08-31 Vladimir I. Fal'ko , G. B. Lesovik

We derive a universal bound on the large-deviation functions of particle currents in coherent conductors. This bound depends only on the mean value of the relevant current and the total rate of entropy production required to maintain a…

Statistical Mechanics · Physics 2025-10-24 Kay Brandner , Keiji Saito

For chaotic cavities with scattering leads attached, transport properties can be approximated in terms of the classical trajectories which enter and exit the system. With a semiclassical treatment involving fine correlations between such…

Chaotic Dynamics · Physics 2015-05-20 Gregory Berkolaiko , Jack Kuipers

We analyze the transport properties of a semiconductor based bilayer system under non-equilibrium conditions with special emphasis on the charge transfer statistics in the regime dominated by the exciton transport. We consider two different…

Mesoscale and Nanoscale Physics · Physics 2013-08-06 H. Soller , A. Komnik

We consider the fluctuation conductivity in the critical region of a disorder induced quantum phase transition in layered d-wave superconductors. We specifically address the fluctuation contribution to the system's conductivity in the limit…

Condensed Matter · Physics 2009-11-10 I. Tifrea , D. Bodea , I. Grosu , M. Crisan

We demonstrate that the paths followed by a system in fluctuation-activated switching form a narrow tube in phase space. A theory of the path distribution is developed and its direct measurement is performed in a micromechanical oscillator.…

Statistical Mechanics · Physics 2009-11-13 H. B. Chan , M. I. Dykman , C. Stambaugh

We theoretically and numerically demonstrate that completely integrable scattering processes may exhibit fractal transmission fluctuations, due to typical spectral properties of integrable systems. Similar properties also occur with…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 Italo Guarneri , Marcello Terraneo