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In this review paper, we discuss the statistical description in non-equilibrium regimes of energy fluctuations originated by the interaction between a quantum system and a measurement apparatus applying a sequence of repeated quantum…

We discuss the statistical correlation properties of currents and energy flows generated by an adiabatic quantum pump. Our approach emphasizes the important role of quantized energy exchange between the sea of electrons and the oscillating…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 M. Moskalets , M. Buttiker

A method to calculate the statistics of energy exchange between quantum systems is presented. The generating function of this statistics is expressed through a Keldysh path integral. The method is first applied to the problem of heat…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 M. Kindermann , S. Pilgram

Based on the multiple energy level Anderson model, this study theoretically examines the thermoelectric effects of semiconductor quantum dots (QDs) in the nonlinear response regime. The charge and heat currents in the sequential tunneling…

Mesoscale and Nanoscale Physics · Physics 2015-05-18 David M T Kuo

The thermopower of a Kondo-correlated gate-defined quantum dot is studied using a current heating technique. In the presence of spin correlations the thermopower shows a clear deviation from the semiclassical Mott relation between…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 R. Scheibner , H. Buhmann , D. Reuter , M. N. Kiselev , L. W. Molenkamp

We study the transport properties of a quantum dot contacted to two superconducting reservoirs by means of the Keldysh field theory approach, showing how this technique allows us to straightforwardly recover previous results, resulting…

Mesoscale and Nanoscale Physics · Physics 2025-09-05 Marco Uguccioni , Luca Dell'Anna

The scattering picture of electron transport in mesoscopic conductors shows that fluctuations of the current reveal additional information on the scattering mechanism not available through the conductance alone. The electronic fluctuations…

Mesoscale and Nanoscale Physics · Physics 2023-04-14 Matthias Hübler , Wolfgang Belzig

Exact analytical formulas are derived, by means of Keldysh Green functions, for currents and current correlation functions in a Cooper pair splitter modelled on a double quantum dot system coherently coupled to a superconductor and two…

Mesoscale and Nanoscale Physics · Physics 2021-10-22 Bogdan R. Bułka

Fluctuations in conjugate thermodynamic variables are studied using the cross-correlation function. A new procedure is given enabling the derivation of fluctuation formulas for a system in equilibrium. Specifically, the cross-correlation…

Statistical Mechanics · Physics 2024-07-03 Jean-Luc Garden

The power spectrum of finite-temperature quantum electromagnetic fluctuations produced by elementary charge carriers under the influence of external electric field is investigated. It is found that under the combined action of the photon…

Quantum Physics · Physics 2009-11-13 Kirill A. Kazakov

We present a theory of finite-frequency noise in non-equilibrium conductors. It is shown that Non-Markovian correlations are essential to describe the physics of quantum noise. In particular, we show the importance of a correct treatment of…

Mesoscale and Nanoscale Physics · Physics 2011-04-01 D. Marcos , C. Emary , T. Brandes , R. Aguado

We theoretically investigate a thermoelectric heat engine based on a single-level quantum dot, calculating average quantities such as current, heat current, output power, and efficiency, as well as fluctuations (noise). Our theory is based…

Mesoscale and Nanoscale Physics · Physics 2025-02-21 Simon Wozny , Martin Leijnse

Electron transport through a double quantum dot system is studied with taking into account electron-phonon interaction. The Keldysh nonequilibrium Green function formalism is used to compute the current and transmission coefficient of the…

Mesoscale and Nanoscale Physics · Physics 2012-04-11 M. Bagheri Tagani , H. Rahimpour Soleimani

Continuing our work on the nature and existence of fluctuation-dissipation relations (FDR) in linear and nonlinear open quantum systems [1-3], here we consider such relations when a linear system is in a nonequilibrium steady state (NESS).…

Quantum Physics · Physics 2020-11-11 Jen-Tsung Hsiang , Bei-Lok Hu

We demonstrate that when a quantum dot is embedded between the two reservoirs described by different statistical distribution functions, the reverse flow and amplification of heat can be realized by regulating the energy levels of the…

Mesoscale and Nanoscale Physics · Physics 2021-09-22 Jianying Du , Tong Fu , Jingyi Chen , Shanhe Su , Jincan Chen

We numerically investigate the thermoelectric properties of a triangle quantum dot connected to metallic electrodes using the non-equilibrium Green's function method in the Anderson model. Exploiting the equation of motion method in the…

Mesoscale and Nanoscale Physics · Physics 2022-06-08 Ahmad Ahmadi Fouladi , Javad Vahedi

Although the Fluctuation-Dissipation framework is a first step to get a quantum model for electrical noise, the merging of displacement and conduction currents into the sole current of a series notion like the resistance R(f) does not help…

Mesoscale and Nanoscale Physics · Physics 2017-09-21 J. I. Izpura

The noise power spectral density of a thermal current between two macroscopic dielectric bodies held at different temperatures and connected only at a quantum point contact is calculated. Assuming the thermal energy is carried only by…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Kelly R. Patton

It is illustrated that semiconductor quantum dots (QDs) embedded into an insulating matrix connected with metallic electrodes and some vacuum space can lead to significant thermal rectification effect. A multilevel Anderson model is used to…

Mesoscale and Nanoscale Physics · Physics 2010-01-11 David M. -T. Kuo , Yia-chung Chang

Heat transport in open quantum systems is particularly susceptible to the modeling of system-reservoir interactions. It thus requires to consistently treat the coupling between a quantum system and its environment. While perturbative…

Statistical Mechanics · Physics 2017-06-07 Thomas Motz , Joachim Ankerhold , Jürgen T. Stockburger