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We present a formalism to study many-particle quantum transport across a lattice locally connected to two finite, non-stationary (bosonic or fermionic) reservoirs, both of which are in a thermal state. We show that, for conserved total…

A quantum dot is a sub-micron-scale conducting device containing up to several thousand electrons. Transport through a quantum dot at low temperatures is a quantum-coherent process. This review focuses on dots in which the electron's…

Mesoscale and Nanoscale Physics · Physics 2008-11-26 Y. Alhassid

Ultrastrong light-matter interaction in an optomechanical system can result in nonlinear optical effects such as photon blockade. The system-bath couplings in such systems play an essential role in observing these effects. Here we study the…

Quantum Physics · Physics 2015-01-09 D. Hu , S. -Y. Huang , J. -Q. Liao , L. Tian , H. -S. Goan

Generalized quantum master equations (GQMEs) are an important tool in modeling chemical and physical processes. For a large number of problems it has been shown that exact and approximate quantum dynamics methods can be made dramatically…

Chemical Physics · Physics 2016-05-25 Aaron Kelly , Andrés Montoya-Castillo , Lu Wang , Thomas E. Markland

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

In this work we formulate an efficient method for the description of many-body localized systems in weak contact with thermal environments at temperature $T$. For this purpose we exploit the representation of the system in terms of…

Disordered Systems and Neural Networks · Physics 2019-07-08 Ling-Na Wu , Alexander Schnell , Giuseppe De Tomasi , Markus Heyl , André Eckardt

In this study, we propose the concept of harnessing quantum coherence to control electron transport in a many-body system. Combining an open quantum system technique based on Hubbard operators, we show that many-body coherence can eliminate…

Mesoscale and Nanoscale Physics · Physics 2023-10-18 Ching-Chi Hang , Liang-Yan Hsu

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

A new theoretical method is introduced to study coherent electron transport in an interacting multilevel quantum dot. The method yields the correct behavior both in the limit of weak and strong coupling to the leads, giving a unified…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 A. Levy Yeyati , F. Flores , A. Martin-Rodero

Transport through correlated nanoscale systems underpins the operation of quantum-dot and molecular-scale devices, yet accurate simulations of large open quantum systems remain computationally challenging as system size increases.…

Mesoscale and Nanoscale Physics · Physics 2026-04-09 Maximilian Streitberger , Marko J. Rančić

The present paper is based upon equations obtained in an earlier paper by the author devoted to a new formulation of quantum electrodynamics. The equations describe the structure of the electron as well as its motion in external fields,…

General Physics · Physics 2016-10-05 V. A. Golovko

Generating quantum data by learning the underlying quantum distribution poses challenges in both theoretical and practical scenarios, yet it is a critical task for understanding quantum systems. A fundamental question in quantum machine…

Quantum Physics · Physics 2026-02-25 Quoc Hoan Tran , Koki Chinzei , Yasuhiro Endo , Hirotaka Oshima

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

The interaction of a propagating pulse of quantum radiation with a localized quantum system can be described by a cascaded master equation with a distinct initially populated input and a finally populated output field mode [Phys. Rev. Lett.…

Quantum Physics · Physics 2026-01-22 Victor Rueskov Christiansen , Alexander Holm Kiilerich , Klaus Mølmer

There is a renewed interest in the derivation of statistical mechanics from the dynamics of closed quantum systems. A central part of this program is to understand how far-from-equilibrium closed quantum system can behave as if relaxing to…

Nascent quantum computers motivate the exploration of quantum many-body systems in nontraditional scenarios. For example, it has become natural to explore the dynamics of systems evolving under both unitary evolution and measurement. Such…

Statistical Mechanics · Physics 2024-03-15 Nicholas O'Dea , Alan Morningstar , Sarang Gopalakrishnan , Vedika Khemani

This study investigates quantum energy teleportation (QET) using stochastic bi-partitioning in an $N-$body Hamiltonian system. In this protocol, project measurements are performed on $(N - m)$ qubits to capture quantum fluctuation…

Quantum Physics · Physics 2024-10-08 Zhirong Xun , Changliang Ren

We study many-body localised quantum systems subject to periodic driving. We find that the presence of a mobility edge anywhere in the spectrum is enough to lead to delocalisation for any driving strength and frequency. By contrast, for a…

Statistical Mechanics · Physics 2015-07-28 Achilleas Lazarides , Arnab Das , Roderich Moessner

A model for a quantum register $\cal R$ made of $N$ replicas of a $d$-dimensional quantum system (cell) coupled with the environment, is studied by means of a Born-Markov Master Equation (ME). Dissipation and decoherence are discussed in…

Quantum Physics · Physics 2011-07-19 Paolo Zanardi

This paper establishes new connections between many-body quantum systems, One-body Reduced Density Matrices Functional Theory (1RDMFT) and Optimal Transport (OT), by interpreting the problem of computing the ground-state energy of a finite…

Mathematical Physics · Physics 2021-07-22 Dario Feliciangeli , Augusto Gerolin , Lorenzo Portinale
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