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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

This thesis is devoted to the study of quantum mechanical effects that arise in systems of reduced dimensionality. Specifically, we investigate coherence and correlation effects in quantum transport models. In the first part, we present a…

Mesoscale and Nanoscale Physics · Physics 2012-03-12 David Marcos

We consider electron transport in a model of a spinless superconductor described by a Kitaev type lattice Hamiltonian where the electron interactions are modelled through a superconducting pairing term. The superconductor is sandwiched…

Superconductivity · Physics 2021-01-04 Junaid Majeed Bhat , Abhishek Dhar

Although coherent manipulation of electronic states can be achieved in quantum dot (QD) devices by harnessing nanofabrication tools, it is often hard to fathom the extent to which these nanoelectronic devices can behave quantum…

Quantum Physics · Physics 2024-10-25 Thingujam Yaiphalemba Meitei , Saikumar Krithivasan , Arijit Sen , Md Manirul Ali

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

Time-dependent nonequilibrium Green's functions are used to study electron transport properties in a device consisting of two linear chain leads and a time-dependent interleads coupling that is switched on non-adiabatically. We derive a…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 Eduardo C. Cuansing , Gengchiau Liang

Electrons in the active region of a nanostructure constitute an open many-body quantum system, interacting with contacts, phonons, and photons. We review the basic premises of the open system theory, focusing on the common approximations…

Mesoscale and Nanoscale Physics · Physics 2014-05-21 I. Knezevic , B. Novakovic

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…

Statistical Mechanics · Physics 2015-04-07 Thilo Krause , Tobias Brandes , Massimiliano Esposito , Gernot Schaller

We consider the time-dependent electron transport through a quantum dot connected to multiple leads in the presence of the additional over-dot (bridge) tunnelling channels by using the evolution operator technique. Each terminal and quantum…

Mesoscale and Nanoscale Physics · Physics 2007-06-13 R. Taranko , T. Kwapinski , E. Taranko

We present a quantum transport theory for hybrid superconducting systems based on our exact master equation approach. The total transient transport current is decomposed into components that describe coherent transports through different…

Mesoscale and Nanoscale Physics · Physics 2023-11-07 Chuan-Zhe Yao , Hon-Lam Lai , Wei-Min Zhang

In this paper, we develop a nonequilibrium theory for transient electron transport dynamics in nanostructures based on the Feynman-Vernon influence functional approach. We extend our previous work on the exact master equation describing the…

Mesoscale and Nanoscale Physics · Physics 2010-08-10 Jinshuang Jin , Matisse W. Y. Tu , Wei-Min Zhang , YiJing Yan

In order to achieve practical implementations of emerging quantum technologies, it is important to have a firm understanding of the dynamics of realistic quantum open systems. Master equations provide a widely used tool in this regard. In…

Quantum Physics · Physics 2015-06-16 Adam Zaman Chaudhry , Jiangbin Gong

We investigate the dynamics of open quantum systems which are initially correlated with their environment. The strategy of our approach is to analyze how given, fixed initial correlations modify the evolution of the open system with respect…

Quantum Physics · Physics 2022-12-21 Alessandra Colla , Niklas Neubrand , Heinz-Peter Breuer

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

Evaluating the time-dependent dynamics of driven open quantum systems is relevant for a theoretical description of many systems, including molecular junctions, quantum dots, cavity-QED experiments, cold atoms experiments and more. Here, we…

Mesoscale and Nanoscale Physics · Physics 2017-08-23 Archak Purkayastha , Yonatan Dubi

We present a real-time diagrammatic theory for transport through interacting quantum dots tunnel coupled to normal and superconducting leads. Our formulation describes both the equilibrium and non-equilibrium superconducting proximity…

Superconductivity · Physics 2008-09-05 Michele Governale , Marco G. Pala , Jürgen König

We investigate theoretically the transport properties of a mesoscopic system driven by a sequence of rectangular pulses applied at the contact to the input (left) lead. The characteristics of the current which would be measured in the…

Mesoscale and Nanoscale Physics · Physics 2009-11-27 Valeriu Moldoveanu , Andrei Manolescu , Vidar Gudmundsson

Using non-equilibrium Green's functions, we derive a formula for the electron current through a lead-molecule-lead nanojunction where the interactions are not restricted to the central region, but are spread throughout the system, including…

Mesoscale and Nanoscale Physics · Physics 2015-06-03 H. Ness , L. K. Dash

A new approach in the quantum theory of few-electron nanoelectronic devices -- the S-matrix approach -- is presented in a simple example: a single-electron transistor consisting of a single-level quantum dot connected with two metallic…

High Energy Physics - Phenomenology · Physics 2007-05-23 Nguyen Van Hieu , Nguyen Bich Ha

Beyond the second-order Born approximation, we develop an improved master equation approach to quantum transport by virtue of a self-consistent Born approximation. The basic idea is replacing the free Green's function in the tunneling…

Mesoscale and Nanoscale Physics · Physics 2014-06-27 Jun Li , Jinshuang Jin , Xin-Qi Li , YiJing Yan