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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…

量子物理 · 物理学 2020-12-23 Gerhard Dorn , Enrico Arrigoni , Wolfgang von der Linden

We report the results of an in-depth study of the role of graph topology on quantum transport efficiency in random removal and Watts-Strogatz networks. By using four different environmental models -- noiseless, driving by classical random…

量子物理 · 物理学 2023-03-17 Arzu Kurt , Matteo A. C. Rossi , Jyrki Piilo

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)…

介观与纳米尺度物理 · 物理学 2007-05-23 Hsi-Sheng Goan

Based on the self-consistent T-matrix approximation (SCTMA), analytical theory of density of states (DOS) in three-dimensional quantum magnets with the bond disorder is proposed. It successfully describes DOS in both cases of resonant and…

强关联电子 · 物理学 2021-01-18 Oleg I. Utesov

Random matrix theory is used to represent generic loss of coherence of a fixed central system coupled to a quantum-chaotic environment, represented by a random matrix ensemble, via random interactions. We study the average density matrix…

量子物理 · 物理学 2009-09-30 T. Gorin , C. Pineda , H. Kohler , T. H. Seligman

Long-range interactions play a central role in electron transport. At the same time, they present a challenge for direct computer simulations, since sufficiently large portions of the bath have to be included in the computation to…

计算物理 · 物理学 2021-09-29 Weiqi Chu , Xiantao Li

We develop a fast and reliable method for solving large-scale optimal transport (OT) problems at an unprecedented combination of speed and accuracy. Built on the celebrated Douglas-Rachford splitting technique, our method tackles the…

最优化与控制 · 数学 2021-10-25 Vien V. Mai , Jacob Lindbäck , Mikael Johansson

We discuss the steady-state electronic transport in solid-state and molecular devices in the quantum regime. The decimation technique allows a comprehensive description of the electronic structure. Such a method is used, in conjunction with…

介观与纳米尺度物理 · 物理学 2008-03-26 Horacio M. Pastawski , Ernesto Medina

Optimal transport on a graph focuses on finding the most efficient way to transfer resources from one distribution to another while considering the graph's structure. This paper introduces a new distributed algorithm that solves the optimal…

最优化与控制 · 数学 2025-07-08 Yacine Mokhtari , Emmanuel Moulay , Patrick Coirault , Jérôme Le Ny

We present an efficient numerical approach for treating ballistic quantum transport across devices described by tight binding (TB) Hamiltonians designated to systems with localized potential defects. The method is based on the wave function…

介观与纳米尺度物理 · 物理学 2016-09-08 K. Kolasiński , A. Mreńca-Kolasińska , B. Szafran

Tensor train (TT) decomposition provides a space-efficient representation for higher-order tensors. Despite its advantage, we face two crucial limitations when we apply the TT decomposition to machine learning problems: the lack of…

机器学习 · 统计学 2017-08-03 Masaaki Imaizumi , Takanori Maehara , Kohei Hayashi

Thermal radiative transfer (TRT) presents significant computational challenges due to the stiff, nonlinear coupling between radiation and material energy, particularly in multigroup, high-fidelity transport models. In this work, we develop…

数值分析 · 数学 2026-03-24 Samuel Olivier , James S. Warsa , HyeongKae Park

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…

介观与纳米尺度物理 · 物理学 2010-02-11 Eduardo Vaz , Jordan Kyriakidis

Density matrix perturbation theory [Phys. Rev. Lett. Vol. 92, 193001 (2004)] provides an efficient framework for the linear scaling computation of response properties [Phys. Rev. Lett. Vol. 92, 193002 (2004)]. In this article, we generalize…

计算物理 · 物理学 2009-11-11 Anders M. N. Niklasson , Valery Weber , Matt Challacombe

Transport map methods offer a powerful statistical learning tool that can couple a target high-dimensional random variable with some reference random variable using invertible transformations. This paper presents new computational…

数值分析 · 数学 2023-03-07 Tiangang Cui , Sergey Dolgov , Olivier Zahm

In the framework of tensor spaces, we consider orthogonalization kernels to generate an orthogonal basis of a tensor subspace from a set of linearly independent tensors. In particular, we experimentally study the loss of orthogonality of…

分布式、并行与集群计算 · 计算机科学 2024-01-17 Olivier Coulaud , Luc Giraud , Martina Iannacito

The Detection Transformer (DETR), by incorporating the Hungarian algorithm, has significantly simplified the matching process in object detection tasks. This algorithm facilitates optimal one-to-one matching of predicted bounding boxes to…

计算机视觉与模式识别 · 计算机科学 2025-03-07 Masoumeh Zareapoor , Pourya Shamsolmoali , Huiyu Zhou , Yue Lu , Salvador García

This paper proposes low tensor-train (TT) rank and low multilinear (ML) rank approximations for de-speckling and compression of 3D optical coherence tomography (OCT) images for a given compression ratio (CR). To this end, we derive the…

数值分析 · 数学 2020-08-31 Ivica Kopriva , Fei Shi , Mingying Lai , Marija Štanfel , Haoyu Chen , Xinjian Chen

The generalized quantum master equation (GQME) approach provides a rigorous framework for deriving the exact equation of motion for any subset of electronic reduced density matrix elements (e.g., the diagonal elements). In the context of…

量子物理 · 物理学 2023-02-03 Ningyi Lyu , Ellen Mulvihill , Micheline B. Soley , Eitan Geva , Victor S. Batista

We consider the rate-limited quantum-to-classical optimal transport in terms of output-constrained rate-distortion coding for both finite-dimensional and continuous-variable quantum-to-classical systems with limited classical common…

量子物理 · 物理学 2023-11-30 Hafez M. Garmaroudi , S. Sandeep Pradhan , Jun Chen