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We present a scattering approach for the study of the transport and thermodynamics of quantum systems strongly coupled to their thermal environment(s). This formalism recovers the standard non-equilibrium Green's function expressions for…

统计力学 · 物理学 2020-07-15 Alexander Semenov , Abraham Nitzan

The simulation of quantum transport in a realistic, many-particle system is a nontrivial problem with no quantitatively satisfactory solution. While real-time propagation has the potential to overcome the shortcomings of conventional…

介观与纳米尺度物理 · 物理学 2015-10-16 Justin E. Elenewski , Yanxiang Zhao , Hanning Chen

We investigate the time-dependent, coherent, and dissipative dynamics of bound particles in single multilevel quantum dots in the presence of sequential tunnelling transport. We focus on the nonequilibrium regime where several channels are…

介观与纳米尺度物理 · 物理学 2010-02-11 Eduardo Vaz , Jordan Kyriakidis

Using the tools of random matrix theory we develop a statistical analysis of the transport properties of thermoelectric low-dimensional systems made of two electron reservoirs set at different temperatures and chemical potentials, and…

介观与纳米尺度物理 · 物理学 2016-08-23 Adel Abbout , Henni Ouerdane , Christophe Goupil

For quantum transport through mesoscopic system, a quantum master equation approach is developed in terms of compact expressions for the transport current and the reduced density matrix of the system. The present work is an extension of…

介观与纳米尺度物理 · 物理学 2009-11-10 Xin-Qi Li , Jun-Yan Luo , Yong-Gang Yang , Ping Cui , YiJing Yan

We build an exact framework to evaluate heat, energy, and particle transport between Gaussian reservoirs mediated by a quadratic quantum system. By combining full counting statistics with newly developed non-Markovian master equation…

量子物理 · 物理学 2026-02-25 Guglielmo Pellitteri , Vittorio Giovannetti , Vasco Cavina

We aim to bridge the gap between quantum coherence, quantum correlations, and nonequilibrium quantum transport in a quantum double-dot (QDD) system interacting with fermionic reservoirs. The system-reservoir coupling is modeled using a…

量子物理 · 物理学 2025-02-18 Saikumar Krithivasan , Thingujam Yaiphalemba Meitei , Arijit Sen , Md Manirul Ali

We investigate heat transport in a spin-1/2 Heisenberg chain, coupled locally to independent thermal baths of different temperature. The analysis is carried out within the framework of the theory of open systems by means of appropriate…

We consider electronic transport through a single-molecule junction where the molecule has a degenerate spectrum. Unlike previous transport models, and theories a rate-equations description is no longer possible, and the quantum coherences…

介观与纳米尺度物理 · 物理学 2013-05-29 Maximilian G. Schultz

In this Chapter, we present recent theoretical developments on the finite temperature transport of one dimensional electronic and magnetic quantum systems as described by a variety of prototype models. In particular, we discuss the…

强关联电子 · 物理学 2007-05-23 X. Zotos , P. Prelovsek

We consider the scattering matrix approach to quantum electron transport in meso- and nano-conductors. This approach is an alternative to the more conventional kinetic equation and Green's function approaches, and often is more efficient…

介观与纳米尺度物理 · 物理学 2015-04-09 G. B. Lesovik , I. A. Sadovskyy

This review is devoted to the different techniques that have been developed to compute the phase-coherent transport properties of quantum nanoelectronic systems connected to electrodes. Beside a review of the different algorithms proposed…

We study the fluctuations of generic currents in multi-terminal, multi-channel quantum transport settings. In the quantum regime, these fluctuations and the resulting precision differ strongly depending on whether the device is of fermionic…

介观与纳米尺度物理 · 物理学 2025-04-08 Didrik Palmqvist , Ludovico Tesser , Janine Splettstoesser

The interplay of quantum and thermal fluctuations in the vicinity of a quantum critical point characterizes the physics of strongly correlated systems. Here we investigate this interplay from a quantum information perspective presenting the…

强关联电子 · 物理学 2018-10-30 Marco Gabbrielli , Augusto Smerzi , Luca Pezzè

Time-dependent currents in molecular junctions can be caused by structural fluctuations or interaction with external fields. In this publication, we demonstrate how the hierarchical quantum master equation approach can be used to study…

介观与纳米尺度物理 · 物理学 2019-03-27 Andre Erpenbeck , Lukas Götzendörfer , Christian Schinabeck , Michael Thoss

A general density-matrix formulation of quantum-transport phenomena in semiconductor nanostructures is presented. More specifically, contrary to the conventional single-particle correlation expansion, we shall investigate separately the…

材料科学 · 物理学 2009-11-11 Rita Claudia Iotti , Emanuele Ciancio , Fausto Rossi

We present an overview of time-dependent transport phenomena in quantum systems, with a particular emphasis on steady-state regimes. We present the ideas after the main theoretical frameworks to study open-quantum systems out of…

介观与纳米尺度物理 · 物理学 2025-12-15 Matteo Acciai , Liliana Arrachea , Janine Splettstoesser

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…

统计力学 · 物理学 2020-06-01 Kay Brandner

We investigate the transport of energy, magnetization, etc. in several finite one-dimensional (1D) quantum systems only by solving the corresponding time-dependent Schroedinger equation. We explicitly renounce on any other…

统计力学 · 物理学 2007-05-23 Robin Steinigeweg , Jochen Gemmer , Mathias Michel

Here, we develop the exact dynamics of the central spin model, modeling a finite-bath open quantum system. Particularly, two different types of interactions are investigated between the system and the bath: Heisenberg interaction with…

量子物理 · 物理学 2025-11-11 Devvrat Tiwari , Subhashish Banerjee
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