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We consider particle transport under the influence of time-varying driving forces, where fluctuation relations connect the statistics of pairs of time reversed evolutions of physical observables. In many "mesoscopic" transport processes,…

Statistical Mechanics · Physics 2010-09-29 A. Altland , A. De Martino , R. Egger , B. Narozhny

We develop a new approach to electron transport in mesoscopic systems by using a particular single-particle basis. Although this basis generates redundant many-particle amplitudes, it greatly simplifies the treatment. By using our method…

Mesoscale and Nanoscale Physics · Physics 2015-10-28 Shmuel Gurvitz

Waiting time is an important transport quantity that is complementary to average current and its fluctuation. So far all the studies of waiting time distribution (WTD) are limited to steady state transport (either dc or ac). In this work,…

Mesoscale and Nanoscale Physics · Physics 2014-05-21 Gao-Min Tang , Fuming Xu , Jian Wang

We consider a certain class of exactly solvable models, describing spectral properties an electron moving in random in time external field with different statistical characteristics. This electron can be band - like or belong to a quantum…

Disordered Systems and Neural Networks · Physics 2026-04-13 E. Z. Kuchinskii , M. V. Sadovskii

Quantum mechanical scattering theory is studied for time-dependent Schroedinger operators, in particular for particles in a rotating potential. Under various assumptions about the decay rate at infinity we show uniform boundedness in time…

Mathematical Physics · Physics 2007-05-23 Volker Enss , Vadim Kostrykin , Robert Schrader

The Wigner time delay, defined by the energy derivative of the total scattering phase shift, is an important spectral measure of an open quantum system characterising the duration of the scattering event. It is related to the trace of the…

Chaotic Dynamics · Physics 2014-12-12 Jack Kuipers , Dmitry V. Savin , Martin Sieber

We develop a general approach to nonequilibrium nanostructures formed by one-dimensional channels coupled by tunnel junctions and/or by impurity scattering. The formalism is based on nonequilibrium version of functional bosonization. A…

Mesoscale and Nanoscale Physics · Physics 2015-06-05 Stephane Ngo Dinh , Dmitry A. Bagrets , Alexander D. Mirlin

We present a semiclassical calculation, based on classical action correlations implemented by means of a matrix integral, of all moments of the Wigner--Smith time delay matrix, $Q$, in the context of quantum scattering through systems with…

Chaotic Dynamics · Physics 2023-05-26 Marcel Novaes

We develop a detailed theory for spin transport in a one-dimensional quantum wire described by Luttinger liquid theory. A hydrodynamic description for the quantum wire is supplemented by boundary conditions taking into account the exchange…

Strongly Correlated Electrons · Physics 2009-10-31 Leon Balents , Reinhold Egger

This article reports on our microscopic investigations of the edge of the fractional quantum Hall state at filling factor $\nu=1/3$. We show that the interaction dependence of the wave function is well described in an approximation that…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Sudhansu S. Mandal , J. K. Jain

We extend the finite-temperature Keldysh non-equilibrium coupled cluster theory (Keldysh-CC) [{\it J. Chem. Theory Comput.} \textbf{2019}, 15, 6137-6253] to include a time-dependent orbital basis. When chosen to minimize the action, such a…

Statistical Mechanics · Physics 2021-08-11 Ruojing Peng , Alec F. White , Huanchen Zhai , Garnet Kin-Lic Chan

The scattering theory of quantum transport relates transport properties of disordered mesoscopic conductors to their transfer matrix $\bbox{T}$. We introduce a novel approach to the statistics of transport quantities which expresses the…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 D. Endesfelder

We study particle current in a recently proposed model for coherent quantum transport. In this model a system connected to mesoscopic Fermi reservoirs (meso-reservoir) is driven out of equilibrium by the action of super reservoirs…

Statistical Mechanics · Physics 2013-01-01 S. Ajisaka , F. Barra , C. Mejia-Monasterio , T. Prosen

A theory of tunneling through a quantum dot is presented which enables us to study combined effects of Coulomb blockade and discrete energy spectrum of the dot. The expression of tunneling current is derived from the Keldysh Green's…

Strongly Correlated Electrons · Physics 2014-01-08 Tetsufumi Tanamoto , Masahito Ueda

We introduce a simple model for the quantum transport of Fermi particles between two contacts connected by a lead. It generalizes the Landauer formalizm by explicitly taken into account the relaxation processes in the contacts. We calculate…

Quantum Gases · Physics 2020-11-25 A. R. Kolovsky

The usual derivations of the S and K matrices for two-particle reactions proceed through the Lippmann-Schwinger equation with formal definitions of the incoming and outgoing scattering states. Here we present an alternative derivation that…

Atomic and Molecular Clusters · Physics 2020-07-15 Y. Alhassid , G. F. Bertsch , P. Fanto

We develop an exact quantum thermodynamic description for a noninteracting nanoscale steady state that couples strongly with multiple reservoirs. It is demonstrated that there exists a steady-state extension of the thermodynamic function…

Mesoscale and Nanoscale Physics · Physics 2018-04-05 Nobuhiko Taniguchi

Scattering theory is a standard tool for the description of transport phenomena in mesoscopic systems. Here, we provide a detailed derivation of this method for nano-scale conductors that are driven by oscillating electric or magnetic…

Statistical Mechanics · Physics 2020-06-01 Kay Brandner

Using the Schwinger-Keldysh technique, we derive the transport equations for a system of quantum scalar fields. We first discuss the general structure of the equations and then their collision terms. Taking into account up to three-loop…

High Energy Physics - Phenomenology · Physics 2009-11-10 Margaret E. Carrington , Stanislaw Mrowczynski

The theory of real-time quantum many-body dynamics as put forward in Ref. [arXiv:0710.4627] is evaluated in detail. The formulation is based on a generating functional of correlation functions where the Keldysh contour is closed at a given…

Quantum Gases · Physics 2011-02-09 Thomas Gasenzer , Stefan Kessler , Jan M. Pawlowski
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