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We describe a quantum electromechanical system(QEMS) comprising a single quantum dot harmonically bound between two electrodes and facilitating a tunneling current between them. An example of such a system is a fullerene molecule between…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 D. Wahyu Utami , Hsi-Sheng Goan , G. J. Milburn

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

The superconducting reservoir effect on the current carrying transport of a double quantum dot in Markovian regime is investigated. For this purpose, a quantum master equation (QME) at finite temperature is derived for the many-body density…

Superconductivity · Physics 2019-06-13 E. Afsaneh , H. Yavari

Coulomb coupled quantum dot arrays with staircase ground state configuration have been proposed in literature for enhancing heat-harvesting and refrigeration performance. However, due to their mutual Coulomb interaction, a performance…

Applied Physics · Physics 2020-08-05 Aniket Singha

We use a generalized Master equation (GME) formalism to describe the non-equilibrium time-dependent transport through a short quantum wire connected to semi-infinite biased leads. The contact strength between the leads and the wire are…

Mesoscale and Nanoscale Physics · Physics 2013-05-15 Kristinn Torfason , Andrei Manolescu , Valeriu Molodoveanu , Vidar Gudmundsson

Coupling the vibrations of an oscillator to electronic transport is a key building block for nanoelectromechanical systems. They describe many nanoscale electrical components such as molecular junctions. Inspired by recent experimental…

Quantum Physics · Physics 2025-06-26 Sofia Sevitz , Federico Cerisola , Janet Anders

Nonequilibrium energy transport serves as one of fundamental problems in quantum thermodynamics and quantum technologies. Driven quantum master equation in the dressed picture provides an efficient way of investigating nonequilibrium energy…

Quantum Physics · Physics 2026-04-01 Junran Kong , Yuwei Lu , Huan Liu , Liwei Duan , Chen Wang

We propose a self-consistent generalized quantum master equation (GQME) to describe electron transport through molecular junctions. In a previous study [M.Esposito and M.Galperin. Phys. Rev. B 79, 205303 (2009)], we derived a time-nonlocal…

Mesoscale and Nanoscale Physics · Physics 2011-05-31 Massimiliano Esposito , Michael Galperin

The population transfer dynamics of model donor-bridge-acceptor systems is studied by comparing a recently developed polaron-transformed quantum master equation (PQME) with the well-known Redfield and Forster theories of quantum transport.…

Mesoscale and Nanoscale Physics · Physics 2015-08-12 Seogjoo Jang , Timothy C. Berkelbach , David R. Reichman

We investigate to which extent a many-body Bloch-Redfield master equation description of quantum transport is consistent with the exact generalized equilibrium conditions known as exchange fluctuation theorems. Thereby we identify a class…

Mesoscale and Nanoscale Physics · Physics 2014-05-23 Robert Hussein , Sigmund Kohler

We analytically derive the exact -- though formal -- master equation for a two-level quantum system (qubit) interacting with a bosonic environment within the rotating-wave approximation, assuming the environment is initially in an arbitrary…

Quantum Physics · Physics 2025-10-16 Hiromichi Nakazato , Saverio Pascazio

We use a generalized master equation (GME) to describe the nonequilibrium magnetotransport of interacting electrons through a broad finite quantum wire with an embedded ring structure. The finite quantum wire is weakly coupled to two broad…

Mesoscale and Nanoscale Physics · Physics 2012-03-15 Vidar Gudmundsson , Chi-Shung Tang , Olafur Jonasson , Valeriu Moldoveanu , Andrei Manolescu

A Quantum Kinetic Master Equation (QKME) for bosonic atoms is formulated. It is a quantum stochastic equation for the kinetics of a dilute quantum Bose gas, and describes the behavior and formation of Bose condensation. The key assumption…

Quantum Physics · Physics 2009-10-30 C. W. Gardiner , P. Zoller

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…

Mesoscale and Nanoscale Physics · Physics 2019-03-27 Andre Erpenbeck , Lukas Götzendörfer , Christian Schinabeck , Michael Thoss

We formulate a quantum master equation for the many-particle density matrix of electrons propagating through a single-mode conductor, combining elastic scattering by disorder with time-resolved projective measurements that monitor the…

Mesoscale and Nanoscale Physics · Physics 2026-05-22 J. Sánchez Fernán , J. Tworzydło , C. W. J. Beenakker

A fully quantum multiphonon up-pumping model is proposed to characterize coherent energy transfer in energetic materials (EMs) subjected to external shock. After eliminating the degrees of freedom of the phonon bath within a mean-field…

Quantum Physics · Physics 2026-05-20 Jiong Cheng , Yanqiang Yang , Wenlin Li , Xun Li

Within the hierarchical quantum master equation (HQME) framework, an approach is presented, which allows a numerically exact description of nonequilibrium charge transport in nanosystems with strong electronic-vibrational coupling. The…

Mesoscale and Nanoscale Physics · Physics 2016-11-23 C. Schinabeck , A. Erpenbeck , R. Härtle , M. Thoss

A quantum fluctuation theorem for a driven quantum subsystem interacting with its environment is derived based solely on the assumption that its reduced density matrix obeys a closed evolution equation i.e. a quantum master equation (QME).…

Statistical Mechanics · Physics 2010-03-01 Massimiliano Esposito , Shaul Mukamel

We consider a molecular aggregate consisting of $N$ identical monomers. Each monomer comprises two electronic levels and a single harmonic mode. The monomers interact with each other via dipole-dipole forces. The monomer vibrational modes…

Statistical Mechanics · Physics 2012-04-12 Maxim F. Gelin , Dassia Egorova , Wolfgang Domcke

We provide a unified picture for the master equation approach and the quantum trajectory approach to a measurement problem of a two-state quantum system (a qubit), an electron coherently tunneling between two coupled quantum dots (CQD's)…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Hsi-Sheng Goan
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