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Many molecular junctions display stochastic telegraphic switching between two distinct current values, which is therefore an important source of fluctuations in nanoscale quantum transport. We investigate electronic fluctuations arising via…

介观与纳米尺度物理 · 物理学 2019-12-25 Samuel L. Rudge , Daniel S. Kosov

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…

介观与纳米尺度物理 · 物理学 2012-01-25 Philipp Zedler , Clive Emary , Tobias Brandes , Tomas Novotny

Based on our recent work on quantum transport [Li et al., Phys. Rev. B 71, 205304 (2005)], where the calculation of transport current by means of quantum master equation was presented, in this paper we show how an efficient calculation can…

材料科学 · 物理学 2009-11-11 JunYan Luo , Xin-Qi Li , YiJing Yan

Physicists are attracted to open-system dynamics, how quantum systems evolve, and how they can protected from unnecessary environmental noise, especially environmental memory effects are not negligible, as with non-Markovian approximations.…

量子物理 · 物理学 2021-06-02 Akbar Islam , An Min Wang , Ahmad Abliz

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…

介观与纳米尺度物理 · 物理学 2012-06-12 Jinshuang Jin , Wei-Min Zhang , Xin-Qi Li , YiJing Yan

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…

介观与纳米尺度物理 · 物理学 2007-05-23 H. B. Sun , G. J. Milburn

We present a theoretical approach to include dynamical aspects of molecular structural fluctuations, such as, for example, forming and breaking hydrogen bonds, isomerizations, and dynamical supramolecular structures, in nonequilibrium…

介观与纳米尺度物理 · 物理学 2022-10-18 Daniel S. Kosov

We present a theory of frequency-dependent counting statistics of electron transport through nanostructures within the framework of Markovian quantum master equations. Our method allows the calculation of finite-frequency current cumulants…

介观与纳米尺度物理 · 物理学 2015-05-18 D. Marcos , C. Emary , T. Brandes , R. Aguado

Charge detection utilizing a highly biased quantum point contact has become the most effective probe for studying few electron quantum dot circuits. Measurements on double and triple quantum dot circuits is performed to clarify a back…

介观与纳米尺度物理 · 物理学 2008-05-04 D. Taubert , M. Pioro-Ladrière , D. Schröer , D. Harbusch , A. S. Sachrajda , S. Ludwig

We describe the transport properties of a point contact under the influence of a classical two-level fluctuator. We employ a transfer matrix formalism allowing us to calculate arbitrary correlation functions of the stochastic process by…

介观与纳米尺度物理 · 物理学 2011-11-03 Fabian Hassler , Gordey B. Lesovik , Gianni Blatter

We derive an $n$-resolved Master equation for quantum transport that includes a dependence on the number $n$ of tunneled electrons in system parameters such as tunnel rates and energy levels. We apply the formalism to describe dynamical…

介观与纳米尺度物理 · 物理学 2013-05-29 M. Schubotz , T. Brandes

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…

介观与纳米尺度物理 · 物理学 2023-01-04 Yishan Xu , Jinshuang Jin , Shikuan Wang , YiJing Yan

We propose a piecewise deterministic Markovian jump process in Hilbert space such that the covariance matrix of this stochastic process solves the thermodynamic quantum master equation. The proposed stochastic process is particularly simple…

量子物理 · 物理学 2018-03-09 Hans Christian Öttinger

An important class of approaches to the description of electronic transport through molecules and quantum dots is based on the master equation. We discuss various formalisms for deriving a master equation and their interrelations. It is…

介观与纳米尺度物理 · 物理学 2009-11-13 Carsten Timm

We study coherent transport through a double quantum dot. Its two electronic leads induce electronic matter and energy transport and a phonon reservoir contributes further energy exchanges. By treating the system-lead couplings…

统计力学 · 物理学 2015-04-07 Thilo Krause , Tobias Brandes , Massimiliano Esposito , Gernot Schaller

We theoretically show that the dynamics of a driven quantum harmonic oscillator subject to non-dissipative noise is formally equivalent to the single-particle dynamics propagating through an experimentally feasible dynamically-disordered…

The correspondence between the telegraph random process and transport within a binary stochastic Markovian mixture is established. This equivalence is used to derive the distribution function for the transit length, defined as the distance…

数学物理 · 物理学 2024-12-30 Brian C. Kiedrowski , Emily H. Vu

The reliable transmission of quantum information remains a central challenge in the presence of environmental noise. In particular, maintaining high teleportation fidelity in open quantum systems is hindered by decoherence, which disrupts…

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.…

介观与纳米尺度物理 · 物理学 2016-11-15 Pei-Yun Yang , Wei-Min Zhang

We propose a simple, yet feasible, model for quantum transport of fermionic carriers across tight-binding chain connecting two reservoirs maintained at arbitrary temperatures and chemical potentials. The model allows for elementary…

量子气体 · 物理学 2022-07-06 Dmitrii N. Maksimov , Andrey R. Kolovsky
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