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This paper explores the dynamics of current and the quantum transport factor in a fermionic system with a central oscillator interacting with two fermionic reservoirs at different temperatures. We derive the master equation for the system…

Quantum Physics · Physics 2025-03-25 Jayarshi Bhattacharya , Gautam Gangopadhyay , Sunandan Gangopadhyay

We present an efficient approach, based on a number-conditioned master equation, for large-deviation analysis in mesoscopic transports. Beyond the conventional full-counting-statistics study, the large-deviation approach encodes complete…

Mesoscale and Nanoscale Physics · Physics 2011-09-30 Jun Li , Yu Liu , Jing Ping , Shu-Shen Li , Xin-Qi Li , YiJing Yan

By using projection superoperators, we present a new derivation of the quantum master equation first obtained by the Authors in Phys. Rev. E {\bf 68}, 066112 (2003). We show that this equation describes the dynamics of a subsystem weakly…

Statistical Mechanics · Physics 2010-03-01 Massimiliano Esposito , Pierre Gaspard

The Ford-Kac-Mazur formalism is used to study quantum transport in (1) electronic and (2) harmonic oscillator systems connected to general reservoirs. It is shown that for non-interacting systems the method is easy to implement and is used…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Abhishek Dhar , B. Sriram Shastry

We study particle current in a recently proposed model for coherent quantum transport. In this model a system connected to mesoscopic Fermi reservoirs (meso-reservoir) is driven out of equilibrium by the action of super reservoirs…

Statistical Mechanics · Physics 2013-01-01 S. Ajisaka , F. Barra , C. Mejia-Monasterio , T. Prosen

Predicting how a material's microscopic structure and dynamics determine its transport properties remains a fundamental challenge. To alleviate this task's often prohibitive computational expense, we propose a Mori-based generalized quantum…

Chemical Physics · Physics 2024-05-06 Srijan Bhattacharyya , Thomas Sayer , Andrés Montoya-Castillo

By viewing the non-equilibrium transport setup as a quantum open system, we propose a reduced-density-matrix based quantum transport formalism. At the level of self-consistent Born approximation, it can precisely account for the correlation…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Ping Cui , Xin-Qi Li , Jiushu Shao , YiJing Yan

We derive a quantum master equation to treat quantum systems interacting with multiple reservoirs. The formalism is used to investigate atomic transport across a variety of lattice configurations. We demonstrate how the behavior of an…

Quantum Physics · Physics 2015-05-19 R. A. Pepino , J. Cooper , D. Meiser , D. Z. Anderson , M. J. Holland

We present a quantum-kinetic scheme for the calculation of non-equilibrium transport properties in nanoscale systems. The approach is based on a Liouville-master equation for a reduced density operator and represents a generalization of the…

Materials Science · Physics 2009-11-10 Ralph Gebauer , Roberto Car

We propose a highly-scalable method to compute the statistics of charge transfer in driven conductors. The framework can be applied in situations of non-zero temperature, strong coupling to terminals and in the presence of non-periodic…

We study the influence of a tunnel barrier on the quantum transport through a circular cavity. Our analysis in terms of classical trajectories shows that the semiclassical approaches developed for ballistic transport can be adapted to deal…

Mesoscale and Nanoscale Physics · Physics 2009-10-25 Markus Schreier , Klaus Richter , Gert-Ludwig Ingold , Rodolfo A. Jalabert

Time-resolved electron transport in nano-devices is described by means of a time-nonlocal quantum master equation for the reduced density operator. Our formulation allows for arbitrary time dependences of any device or contact parameter.…

Mesoscale and Nanoscale Physics · Physics 2011-03-02 Alexander Croy , Ulf Saalmann

We present a hierarchical quantum master equation (HQME) approach, which allows the numerically exact evaluation of higher-order current cumulants in the framework of full counting statistics for nonequilibrium charge transport in…

Mesoscale and Nanoscale Physics · Physics 2020-02-20 C. Schinabeck , M. Thoss

We propose a new form for the quantum master equation in the theory of open quantum systems. This new formalism allows one to describe the dynamics of two-level systems moving along different hyperbolic trajectories with distinct proper…

High Energy Physics - Theory · Physics 2023-01-11 M. S. Soares , G. Menezes , N. F. Svaiter

The circuit theory of mesoscopic transport provides a unified framework to describe spin-dependent or superconductivity-related phenomena. We extend this theory to hybrid systems of normal metals, ferromagnets and superconductors. Our main…

Superconductivity · Physics 2009-11-27 Daniel Huertas-Hernando , Yu. V. Nazarov , W. Belzig

We present an approach to steady-state mesoscopic transport based on the maximum entropy principle formulation of nonequilibrium statistical mechanics. This approach is valid in the nonlinear regime of high current, and yields the…

Condensed Matter · Physics 2009-10-22 M. D. Johnson , O. Heinonen

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…

Statistical Mechanics · Physics 2020-06-01 Kay Brandner

An exact quantum master equation formalism is constructed for the efficient evaluation of quantum non-Markovian dissipation beyond the weak system-bath interaction regime in the presence of time-dependent external field. A novel truncation…

Quantum Physics · Physics 2009-11-10 Rui-Xue Xu , Ping Cui , Xin-Qi Li , Yan Mo , YiJing Yan

With this work we investigate the stationary nonequilibrium density matrix of current carrying nonequilibrium steady states of in-between quantum systems that are connected to reservoirs. We describe the analytical procedure to obtain the…

Statistical Mechanics · Physics 2015-05-28 Abhishek Dhar , Keiji Saito , Peter Hanggi

Based on an exact formulation, we present a master equation approach to transport through Majorana zero modes (MZMs). Within the master equation treatment, the occupation dynamics of the regular fermion associated with the MZMs holds a…

Mesoscale and Nanoscale Physics · Physics 2022-09-28 Jinshuang Jin , Xin-Qi Li