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Related papers: Calculation of the current noise spectrum in mesos…

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Within the second-order non-Markovian master equation description, we develop an efficient method for calculating the noise spectrum of transport current through interacting mesoscopic systems. By introducing proper current-related density…

Mesoscale and Nanoscale Physics · Physics 2023-01-04 Yishan Xu , Jinshuang Jin , Shikuan Wang , YiJing Yan

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…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Xin-Qi Li , Jun-Yan Luo , Yong-Gang Yang , Ping Cui , YiJing Yan

We present a formalism for calculating the non-symmetrized quantum current noise within the Born-Markov approximation for the master equation. The formalism is particularly well suited to obtaining the current noise for quantum transport in…

Mesoscale and Nanoscale Physics · Physics 2012-08-29 P. G. Kirton , A. D. Armour , M. Houzet , F. Pistolesi

In addition to the well-known Landauer-Buttiker scattering theory and the nonequilibrium Green's function technique for mesoscopic transports, an alternative (and very useful) scheme is quantum master equation approach. In this article, we…

Quantum Physics · Physics 2016-07-04 Xin-Qi Li

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…

Mesoscale and Nanoscale Physics · Physics 2015-04-09 G. B. Lesovik , I. A. Sadovskyy

We present a method for calculating the full current noise spectrum for the class of nano-electromechanical systems (NEMS) that can be described by a Markovian generalized master equation. As a specific example we apply the method to a…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Christian Flindt , Tomas Novotny , Antti-Pekka Jauho

Based on our recently developed quantum transport theory in term of an exact master equation, the corresponding particle-number resolved ($n$-resolved) master equation and the related shot noise spectrum formalism covering the full…

Mesoscale and Nanoscale Physics · Physics 2012-06-12 Jinshuang Jin , Wei-Min Zhang , Xin-Qi Li , YiJing Yan

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…

An efficient new method is presented to calculate the quantum transports using periodic boundary conditions. This new method is based on a method we developed previously, but with an essential change in solving the Schrodinger's equation.…

Materials Science · Physics 2007-05-23 Lin-Wang Wang

A quantum Markovian master equation is derived to describe the current noise in resonant tunnelling devices. This equation includes both incoherent and coherent quantum tunnelling processes. We show how to obtain the population master…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 H. B. Sun , G. J. Milburn

We develop methods for calculating the zero-frequency noise for quantum shuttles, i.e. nanoelectromechanical devices where the mechanical motion is quantized. As a model system we consider a three-dot array, where the internal electronic…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Christian Flindt , Tomas Novotny , Antti-Pekka Jauho

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 discuss the description of full counting statistics in quantum transport with a nonMarkovian master equation. We focus on differences arising from whether charge is considered as a classical or a quantum degree of freedom. These…

Mesoscale and Nanoscale Physics · Physics 2012-09-10 Clive Emary , Ramon Aguado

We analyze the precision of currents in a generic multi-terminal quantum-transport setting. Employing scattering theory, we show that the precision of the currents is limited by a function of the particle-current noise that can be…

Mesoscale and Nanoscale Physics · Physics 2025-07-14 Didrik Palmqvist , Ludovico Tesser , Janine Splettstoesser

The traditional approach to quantum parameter estimation focuses on the quantum state, deriving fundamental bounds on precision through the quantum Fisher information. In most experimental settings, however, performing arbitrary quantum…

Quantum Physics · Physics 2025-11-18 Shishir Khandelwal , Gabriel T. Landi , Géraldine Haack , Mark T. Mitchison

How dissipation affects transport is an important theme in quantum science. Here we theoretically investigate an impact of a single-particle loss in mesoscopic transport, which has been an issue in experiments of ultracold atomic gases. By…

Quantum Gases · Physics 2023-07-07 Shun Uchino

We present a theoretical approach to solve Markovian master equation for quantum transport with stochastic telegraph noise. Considering probabilities as functionals of a random telegraph process we use the Novikov's functional method to…

Mesoscale and Nanoscale Physics · Physics 2018-05-22 Daniel S. Kosov

In this review article, we present a non-equilibrium quantum transport theory for transient electron dynamics in nanodevices based on exact master equation derived with the path integral method in the fermion coherent-state representation.…

Mesoscale and Nanoscale Physics · Physics 2016-11-15 Pei-Yun Yang , Wei-Min Zhang

We extend the second-order von Neumann approach within the generalized master equation formalism for quantum electronic transport to include the counting field. The resulting non-Markovian evolution equation for the reduced density matrix…

Mesoscale and Nanoscale Physics · Physics 2012-01-25 Philipp Zedler , Clive Emary , Tobias Brandes , Tomas Novotny

Current quantum noise can be pictured as a sum over transitions through which the electronic system exchanges energy with its environment. We formulate this picture and use it to show which type of current correlators are measurable, and in…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 U. Gavish , Y. Imry , Y. Levinson
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