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A theory of electron counting statistics in quantum transport is presented. It involves an idealized scheme of current measurement using a spin 1/2 coupled to the current so that it precesses at the rate proportional to the current. Within…

Condensed Matter · Physics 2008-04-12 L. S. Levitov , H. -W. Lee , G. B. Lesovik

The quantum theory of conductivity of semiconductor objects, to which the quantum wells, wires and dots concern, is constructed. Average values of current and charge densities, induced by a weak electromagnetic field, are calculated. It is…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 I. G. Lang , L. I. Korovin , J. A. de la Cruz Alcaz , S. T. Pavlov

In this paper we focus on energy flows in simple quantum systems. This is achieved by concentrating on the quantum Hamilton-Jacobi equation. We show how this equation appears in the standard quantum formalism in essentially three different…

Quantum Physics · Physics 2014-12-01 B. J. Hiley , D. Robson

Green-Kubo and Einstein expressions for the transport coefficients of a fluid in a nonequilibrium steady state can be derived using the Fluctuation Theorem and by assuming the probability distribution of the time-averaged dissipative flux…

Statistical Mechanics · Physics 2009-10-31 Debra J. Searles , Denis J. Evans

We study the charge current transmitted through the correlated quantum dot characterized by a finite magnitude of the Coulomb interaction |U|. At low temperatures the correlations can lead to appearance of the spin (for U>0) or charge (for…

Strongly Correlated Electrons · Physics 2009-05-08 T. Domanski , A. Donabidowicz

We find the charge and heat currents caused by a temperature difference applied to a superconducting point contact or to a quantum point contact between a superconducting and normal conductors. The results are formulated in terms of the…

Mesoscale and Nanoscale Physics · Physics 2019-04-24 Sergey S. Pershoguba , Leonid I. Glazman

We provide a stochastic fractional diffusion equation description of energy transport through a finite one-dimensional chain of harmonic oscillators with stochastic momentum exchange and connected to Langevian type heat baths at the…

Statistical Mechanics · Physics 2019-05-22 Aritra Kundu , Cédric Bernardin , Keji Saito , Anupam Kundu , Abhishek Dhar

We study heat transport for solids in the presence of arbitrary time-dependent force. Using nonequilibrium Green's function (NEGF) approach we present an exact analytical expression of current for the linear system. We found that the heat…

Statistical Mechanics · Physics 2011-11-29 Bijay Kumar Agarwalla , Jian-Sheng Wang , Baowen Li

We consider an interacting quantum dot connected to two reservoirs driven at distinct voltage/temperature and we study the correlations between charge and heat currents first as a function of the applied voltage bias, and second as a…

Mesoscale and Nanoscale Physics · Physics 2015-10-05 Adeline Crépieux , Paul Eyméoud , Fabienne Michelini

We study heat transport in a nonequilibrium steady state of a quantum interacting spin chain. We provide clear numerical evidence of the validity of Fourier law. The regime of normal conductivity is shown to set in at the transition to…

Statistical Mechanics · Physics 2007-05-23 Carlos Mejia-Monasterio , Tomaz Prosen , Giulio Casati

We numerically calculate the energy and momentum transfer rates due to Coulomb scattering between two fluids moving with a relative velocity. The results are fitted by simple functions. The fitting formulae are useful to simulate outflows…

Astrophysics · Physics 2009-11-11 Katsuaki Asano , Shizuo Iwamoto , Fumio Takahara

In this work, we investigate the heat flow of two interacting quantum systems on the perspective of noncommutativity phase-space effects and show that by controlling the new constants introduced in the quantum theory, due to a deformed…

Quantum Physics · Physics 2020-12-25 Jonas F. G. Santos

Quantum Brownian motion, described by the Caldeira-Leggett model, brings insights to understand phenomena and essence of quantum thermodynamics, especially the quantum work and heat associated with their classical counterparts. By employing…

Statistical Mechanics · Physics 2021-12-15 Jin-Fu Chen , Tian Qiu , H. T. Quan

We develop a non-conventional description of the vacuum energy in quantum field theory in terms of quantum entropy. Precisely, we show that the vacuum energy of any non-interacting quantum field at zero temperature is proportional to the…

High Energy Physics - Theory · Physics 2024-05-08 Gonçalo M. Quinta , Antonino Flachi

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

Heat transport in spin-boson systems near the thermal equilibrium is systematically investigated. An asymptotically exact expression for the thermal conductance in a low-temperature regime wherein transport is described via a co-tunneling…

Mesoscale and Nanoscale Physics · Physics 2018-09-14 Tsuyoshi Yamamoto , Masanari Kato , Takeo Kato , Keiji Saito

We review a recent theoretical development based on non-equilibrium Green's function formalism to study heat transport in nanomechanical devices modeled by phononic systems of coupled quantum oscillators driven by ac forces and connected to…

Mesoscale and Nanoscale Physics · Physics 2015-06-12 Liliana Arrachea , Bruno Rizzo

Heat transfer between two silica clusters is investigated by using the non-equilibrium Green's function method. In the gap range between 4 {\AA} and three times the cluster size, the thermal conductance decreases as predicted by the surface…

Mesoscale and Nanoscale Physics · Physics 2015-06-16 Shiyun Xiong , Kaike Yang , Yuriy A. Kosevich , Yann Chalopin , Roberto D'Agosta , Pietro Cortona , Sebastian Volz

We investigate the transport properties of a quantum wire of weakly interacting fermions in the presence of local particle loss. We calculate current and conductance in this system due to applied external chemical potential bias that can be…

Statistical Mechanics · Physics 2024-11-18 Marcel Gievers , Thomas Müller , Heinrich Fröml , Sebastian Diehl , Alessio Chiocchetta

We show that the asymmetric inter-particle interactions can induce rapid decay of the heat current correlation in one-dimensional momentum conserving lattices. When the asymmetry degree is appropriate, even exponential decay may arise. This…

Statistical Mechanics · Physics 2012-10-16 Shunda Chen , Yong Zhang , Jiao Wang , Hong Zhao