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Theoretical descriptions of non equilibrium dynamics of quantum many-body systems essentially employ either (i) explicit treatments, relying on truncation of the expansion of the many-body wave function, (ii) compressed representations of…

Thermodynamic probes can be used to deduce microscopic internal dynamics of nanoscale quantum systems. Several direct entropy measurement protocols based on charge transport measurements have been proposed and experimentally applied to…

Mesoscale and Nanoscale Physics · Physics 2022-12-22 E. Pyurbeeva , J. O. Thomas , J. A. Mol

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

The real time evolution of two pieces of quantum insulators, initially at different temperatures, is studied when they are glued together. Specifically, each subsystem is taken as a Bose-Hubbard model in a Mott insulator state. The process…

Quantum Gases · Physics 2015-04-28 Mateusz Łącki , Dominique Delande , Jakub Zakrzewski

Using non-equilibrium Green's functions combined with many-body perturbation theory, we have calculated steady-state densities and currents through short interacting chains subject to a finite electric bias. By using a steady-state…

Mesoscale and Nanoscale Physics · Physics 2016-04-18 Daniel Karlsson , Claudio Verdozzi

We study the transport of energy in a finite linear harmonic chain by solving the Heisenberg equation of motion, as well as by using nonequilibrium Green's functions to verify our results. The initial state of the system consists of two…

Statistical Mechanics · Physics 2012-10-02 Eduardo C. Cuansing , Huanan Li , Jian-Sheng Wang

Quantum dots placed along a vibrating nanotube provide a quantum simulation platform that can directly address the electron-phonon interaction. This offers promising prospects for the search of new quantum materials and the study of strong…

Strongly Correlated Electrons · Physics 2023-02-08 Lin Zhang , Utso Bhattacharya , Adrian Bachtold , Stefan Forstner , Maciej Lewenstein , Fabio Pistolesi , Tobias Grass

The thermodynamic approach to non-equilibrium dynamics describes the state of macroscopic systems by means of a collection of intensities or intensive variables. The latter are by definition the differentials of the entropy with respect to…

chao-dyn · Physics 2008-02-03 Z. Hens , X. de Hemptinne

Computationally inexpensive approximations describing electron-phonon scattering in molecular-scale conductors are derived from the non-equilibrium Green's function method. The accuracy is demonstrated with a first principles calculation on…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Magnus Paulsson , Thomas Frederiksen , Mads Brandbyge

We analyse non-equilibrium transport properties of a single-state molecular quantum dot coupled to a local phonon and contacted by two electrodes. We derive the effective non-equilibrium (Keldysh) action for the phonon mode and study the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Alexander O. Gogolin , Andrei Komnik

We develop a general hydrodynamic framework for computing direct current thermal and electric transport in a strongly interacting finite temperature quantum system near a Lorentz-invariant quantum critical point. Our framework is…

Strongly Correlated Electrons · Physics 2016-02-24 Andrew Lucas , Jesse Crossno , Kin Chung Fong , Philip Kim , Subir Sachdev

The theoretical investigation of charge (and spin) transport at nanometer length scales requires the use of advanced and powerful techniques able to deal with the dynamical properties of the relevant physical systems, to explicitly include…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 D. A. Ryndyk , R. Gutierrez , B. Song , G. Cuniberti

We investigate theoretically nonequilibrium quantum transport in a quantum dot attached to a Majorana bound state. Our approach is based on the Keldysh Green's function formalism, which allows us to investigate the electric current…

Strongly Correlated Electrons · Physics 2014-03-17 S. J. S. da Silva , A. C. Seridonio , J. Del Nero , F. M. Souza

Understanding how the effectiveness of natural photosynthetic energy harvesting systems arises from the interplay between quantum coherence and environmental noise represents a significant challenge for quantum theory. Recently it has begun…

Biological Physics · Physics 2015-06-16 E. K. Irish , R. Gómez-Bombarelli , B. W. Lovett

We show that active transport processes in biological systems can be understood through a local equilibrium description formulated at the mesoscale, the scale to describe stochastic processes. This new approach uses the method established…

Soft Condensed Matter · Physics 2007-05-23 S. Kjelstrup , J. M. Rubi , D. Bedeaux

We investigate models of molecular junctions which constitute minimal Hamiltonians to account for zero-bias-anomaly and the satellite features of inelastic transport by molecular phonons. Through nonlinear transport calculations with the…

Strongly Correlated Electrons · Physics 2015-05-13 J. E. Han

Ion transport, often described by the Poisson--Nernst--Planck (PNP) equations, is ubiquitous in electrochemical devices and many biological processes of significance. In this work, we develop conservative, positivity-preserving, energy…

Numerical Analysis · Mathematics 2020-07-15 Jie Ding , Zhongming Wang , Shenggao Zhou

Nonequilibrium molecular dynamics (NEMD) has been extensively used to study thermal transport at various length scales in many materials. In this method, two local thermostats at different temperatures are used to generate a nonequilibrium…

Mesoscale and Nanoscale Physics · Physics 2020-01-08 Zhen Li , Shiyun Xiong , Charles Sievers , Yue Hu , Zheyong Fan , Ning Wei , Hua Bao , Shunda Chen , Davide Donadio , Tapio Ala-Nissila

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

A recently introduced particle-based model for fluid flow, called Stochastic Rotation Dynamics, can be made Galilean invariant by introducing a random shift of the computational grid before collisions. In this paper, it is shown how the…

Soft Condensed Matter · Physics 2009-11-11 Thomas Ihle , Erkan Tuzel , Daniel M. Kroll
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