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We analyze possible nonlinear exciton-exciton correlation effects in the optical response of semiconductors by using a time-dependent density-functional theory (TDDFT) approach. For this purpose, we derive the nonlinear (third-order) TDDFT…

Materials Science · Physics 2015-06-16 Volodymyr Turkowski , Michael N. Leuenberger

We consider the theoretical description of real-time counting of electrons tunneling through a Coulomb-blockade quantum dot using a detector with finite bandwidth. By tracing out the quantum dot we find that the dynamics of the detector…

Mesoscale and Nanoscale Physics · Physics 2008-01-09 Christian Flindt , Alessandro Braggio , Tomas Novotny

Working within the Nonequilibrium Green's Function (NEGF) formalism, a formula for the two-time current correlation function is derived for the case of transport through a nanojunction in response to an arbitrary time-dependent bias. The…

Mesoscale and Nanoscale Physics · Physics 2017-05-03 Michael Ridley , Angus MacKinnon , Lev Kantorovich

The fluctuation behavior of triple quantum dots (TQDs) has, so far, largely focused on current cumulants in the long-time limit via full counting statistics. Given that (TQDs) are non-trivial open quantum systems with many interesting…

Mesoscale and Nanoscale Physics · Physics 2021-11-10 Samuel L. Rudge , Daniel S. Kosov

Cumulants linearize convolution of measures. We use a formula of Good to define noncommutative cumulants in a very general setting.It turns out that the essential property needed is exchangeability of random variables. Roughly speaking the…

Combinatorics · Mathematics 2012-12-06 Franz Lehner

In quantum transport through nanoscale devices, fluctuations arise from various sources: the discreteness of charge carriers, the statistical non-equilibrium that is required for device operation, and unavoidable quantum uncertainty. As…

Mesoscale and Nanoscale Physics · Physics 2019-09-04 Samuel L. Rudge , Daniel S. Kosov

In this paper, we investigate the quantum transport of a double quantum dot coupled with a nanomechanical resonator at arbitrary strong electron-phonon coupling regimes. We employ the generalized quantum master equation to study full…

Mesoscale and Nanoscale Physics · Physics 2012-04-22 Chen Wang , Jie Ren , Baowen Li , Qing-Hu Chen

In this paper we discuss the relation of particle number cumulants and correlation functions. It is argued that measuring couplings of the genuine multi-particle correlation functions could provide cleaner information on possible…

Nuclear Theory · Physics 2017-05-17 Adam Bzdak , Volker Koch , Nils Strodthoff

We formalize the derivation of a generalized coarse-graining $n$-resolved master equation by introducing a virtual detector counting the number of transferred charges in single-electron transport. Our approach enables the convenient…

Mesoscale and Nanoscale Physics · Physics 2009-12-11 Gernot Schaller , Gerold Kiesslich , Tobias Brandes

Using a microscopic model for stochastic transport through a single quantum dot that is modified by the Coulomb interaction of environmental (weakly coupled) quantum dots, we derive generic properties of the full counting statistics for…

Mesoscale and Nanoscale Physics · Physics 2010-05-07 Gernot Schaller , Gerold Kießlich , Tobias Brandes

The interaction with time-dependent external fields, especially the interplay between time-dependent driving and quantum correlations, changes the familiar picture of electron transport through nanoscale systems. Although the exact solution…

Mesoscale and Nanoscale Physics · Physics 2020-02-13 Thomas D. Honeychurch , Daniel S. Kosov

Nanoelectromechanical resonators provide an ideal platform for investigating the interplay between electron transport and nonlinear mechanical motion. Externally driven suspended carbon nanotubes, containing an electrostatically defined…

The Coulomb drag effect arises due to electron-electron interactions, when two metallic conductors are placed in close vicinity to each other. It manifests itself as a charge current or voltage drop induced in one of the conductors, if the…

Mesoscale and Nanoscale Physics · Physics 2019-05-14 Artem Borin , Ines Safi , Eugene Sukhorukov

The generating functional is derived for the fluctuation-dissipation relations which result from the unitarity and reversibility of microscopic dynamics and connect various statistical characteristics of many consecutive (continuous)…

Statistical Mechanics · Physics 2007-05-23 Yuriy E. Kuzovlev

We study the statistical properties of charge and energy transport in electron conducting junctions with electron-phonon interactions, specifically, the thermoelectric efficiency and its fluctuations. The system comprises donor and acceptor…

Statistical Mechanics · Physics 2016-01-20 Bijay Kumar Agarwalla , Jian-Hua Jiang , Dvira Segal

We report on the onset of anti-resonant behaviour of mass transport systems driven by time-dependent forces. Anti-resonances arise from the coupling of a sufficiently high number of space-time modes of the force. The presence of forces…

Statistical Mechanics · Physics 2021-06-10 M. Florencia Carusela , Paolo Malgaretti , J. Miguel Rubi

Characterizing current fluctuations in a steady state is of fundamental interest and has attracted considerable attention in the recent past. However, the bulk of the studies are limited to systems that either do not exhibit a phase…

Statistical Mechanics · Physics 2024-12-05 Tanmoy Chakraborty , Punyabrata Pradhan , Kavita Jain

The control of any type of quantum hardware invariably necessitates time-dependent driving. If the basis depends on the control parameter, the presence of a time-dependent control field yields an extra term in the Schr\"odinger equation…

Superconductivity · Physics 2024-06-25 Ahmed Kenawy , Fabian Hassler , Roman-Pascal Riwar

We study the relation between quantum pumping of charge and the work exchanged with the driving potentials in a strongly interacting ac-driven quantum dot. We work in the large-interaction limit and in the adiabatic pumping regime, and we…

Mesoscale and Nanoscale Physics · Physics 2018-12-12 Maria Florencia Ludovico , Massimo Capone

We develop a very general perturbative theory of time-dependent transport in a weak tunneling junction which is independent of experimental details and on many-body correlated states in the coupled conductors. These can be similar or…

Mesoscale and Nanoscale Physics · Physics 2014-01-24 Ines Safi