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A new approach to calculating current-induced forces in charge transport through nanosystems is introduced. Starting from the fully quantum mechanical hierarchical equations of motion formalism, a timescale separation between electronic and…

Mesoscale and Nanoscale Physics · Physics 2023-03-29 Samuel L. Rudge , Yaling Ke , Michael Thoss

We introduce a systematic approximation for an efficient evaluation of Born--Markov master equations for steady state transport studies in open quantum systems out of equilibrium: the energy resolved master equation approach. The master…

Quantum Physics · Physics 2020-12-23 Gerhard Dorn , Enrico Arrigoni , Wolfgang von der Linden

We consider quantum transport in a tight-binding model on the Bethe lattice of finite generation, which we expect to be the first step toward analyzing electronic transport in a light-harvesting molecule. We seek conditions under which the…

Quantum Physics · Physics 2026-05-01 Naomichi Hatano , Hosho Katsura , Kohei Kawabata

We present a set of modified quantum rate equations, with the help of the nonequilibrium Green's function and slave-particle techniques along with the correct quantization, for description of the quantum transport through an interacting…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Bing Dong , H. L. Cui , X. L. Lei

We derive a formula for the current through an interacting quantum dot coupled to two supercouducting leads, using the non-equilibrium Green's function formalism. It is shown that the formula takes an especially simple form, when the…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Kicheon Kang

We study electron transport in molecular nanojunctions that are driven by incoherent radiation using Markovian quantum dynamics based on the Lindblad quantum master equation. General expressions for the transient electron and photon…

Mesoscale and Nanoscale Physics · Physics 2026-04-01 Felipe Recabal , Felipe Herrera

The Lindblad quantum master equation is one of the central approaches to the physics of open quantum systems. In particular, boundary driving enables the study of transport, where a steady state emerges in the long-time limit, which…

Statistical Mechanics · Physics 2025-02-20 Markus Kraft , Mariel Kempa , Jiaozi Wang , Robin Steinigeweg

Electron transport through a nanoscale system is an inherently stochastic quantum mechanical process. Electric current is a time series of electron tunnelling events separated by random intervals. Thermal and quantum noise are two sources…

Mesoscale and Nanoscale Physics · Physics 2016-11-08 Samuel L. Rudge , Daniel S. Kosov

The coherent quantum transport of matter wave through a ring-shaped circuit attached to leads defines an iconic system in mesoscopic physics that has allowed both to explore fundamental questions in quantum science and to draw important…

Quantum Gases · Physics 2025-06-17 Francesco Perciavalle , Oliver Morsch , Davide Rossini , Luigi Amico

We explore the charge transport mechanism in organic semiconductors based on a model that accounts for the thermal intermolecular disorder at work in pure crystalline compounds, as well as extrinsic sources of disorder that are present in…

Materials Science · Physics 2012-12-10 S. Ciuchi , S. Fratini

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…

Mesoscale and Nanoscale Physics · Physics 2010-02-11 Eduardo Vaz , Jordan Kyriakidis

We study theoretically the electron transport in a 1D conductor adiabatically connected to a superconducting and normal metal leads. In the case of non-interacting we show that ac voltage applied along with dc voltage modifies I-V curve…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 P. P. Aseev , S. N. Artemenko

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…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 M. Schubotz , T. Brandes

The master equation describing the non-equilibrium dynamics of a quantum dot coupled to metallic leads is considered. Employing a superoperator approach, we derive an exact time-convolutionless master equation for the probabilities of dot…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 Carsten Timm

The exact fermion master equation previously obtained in [Phys. Rev. B \textbf{78}, 235311 (2008); New J. Phys. \textbf{12}, 083013 (2010)] describes the dynamics of quantum states of a principal system of fermionic particles under the…

Mesoscale and Nanoscale Physics · Physics 2015-03-19 Matisse Wei-Yuan Tu , Jian-Heng Liu , Wei-Min Zhang

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

Transport in molecular electronic devices is different from that in semiconductor mesoscopic devices in two important aspects: (1) the effect of the electronic structure and (2) the effect of the interface to the external contact. A…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Yongqiang Xue , Supriyo Datta , Mark A. Ratner

We consider the time-dependent electron transport through a quantum dot coupled to two leads in the presence of the additional over-dot (bridge) tunneling channel. By using the evolution operator method together with the wide-band limit…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 R. Taranko , T. Kwapinski , E. Taranko

A general analytical theory of temporal relaxation processes in isolated quantum systems with many degrees of freedom is elaborated, which unifies and substantially amends several previous approximations. Specifically, the Fourier transform…

Statistical Mechanics · Physics 2019-05-09 Peter Reimann

Transport in open quantum systems can be explored through various theoretical frameworks, including the quantum master equation, scattering matrix, and Heisenberg equation of motion. The choice of framework depends on factors such as the…

Quantum Physics · Physics 2024-11-14 Gianmichele Blasi , Shishir Khandelwal , Géraldine Haack
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