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We briefly review the random matrix theory for large N by N matrices viewed as free random variables in a context of stochastic diffusion. We establish a surprising link between the spectral properties of matrix-valued multiplicative…

We study numerically an electronic transport in strongly anisotropic weakly disorderd two-dimensional systems. We find that the conductance distribution is gaussian but the conductance fluctuations increase when anisotropy becomes stronger.…

凝聚态物理 · 物理学 2009-10-31 Peter Markos

In this article we demonstrate the applications of classical and quantum machine learning in quantum transport and spintronics. With the help of a two-terminal device with magnetic impurity we show how machine learning algorithms can…

介观与纳米尺度物理 · 物理学 2023-03-28 Kumar Ghosh , Sumit Ghosh

Information to be stored and transported requires physical carriers. The quantum bit of information (qubit) can for instance be realised as the spin 1/2 degree of freedom of a massive particle like an electron or as the spin 1 polarisation…

量子物理 · 物理学 2009-03-15 Cord A. Mueller

We propose a fluctuation-dissipation theorem in open quantum systems from an information-theoretic perspective. We define the fidelity susceptibility that measures the sensitivity of the systems under perturbation and relate it to the…

量子物理 · 物理学 2024-09-30 Jian-Hao Zhang , Cenke Xu , Yichen Xu

This document focuses on translating various information-theoretic measures of distinguishability for probability distributions into measures of distin- guishability for quantum states. These measures should have important appli- cations in…

量子物理 · 物理学 2007-05-23 Christopher A. Fuchs

We derive steerability criteria applicable for both finite and infinite dimensional quantum systems using covariance matrices of local observables. We show that these criteria are useful to detect a wide range of entangled states…

量子物理 · 物理学 2016-01-06 Se-Wan Ji , Jaehak Lee , Jiyong Park , Hyunchul Nha

Complex processes often arise from sequences of simpler interactions involving a few particles at a time. These interactions, however, may not be directly accessible to experiments. Here we develop the first efficient method for unravelling…

量子物理 · 物理学 2022-06-24 Ge Bai , Ya-Dong Wu , Yan Zhu , Masahito Hayashi , Giulio Chiribella

This note is sketching a simple and natural mathematical construction for explaining the probabilistic nature of quantum mechanics. It employs nonstandard analysis and is based on Feynman's interpretation of the Heisenberg uncertainty…

量子物理 · 物理学 2007-06-13 Michel Fliess

Random matrix theory can be used to describe the transport properties of a chaotic quantum dot coupled to leads. In such a description, two approaches have been taken in the literature, considering either the Hamiltonian of the dot or its…

介观与纳米尺度物理 · 物理学 2009-11-07 M L Polianski , P W Brouwer

Traveling waves are ubiquitous in nature and control the speed of many important dynamical processes, including chemical reactions, epidemic outbreaks, and biological evolution. Despite their fundamental role in complex systems, traveling…

种群与进化 · 定量生物学 2011-05-30 Oskar Hallatschek

In this paper, we study how the probability of presence of a particle is distributed between the two parts of a composite fermionic system. We uncover that the difference of probability depends on the energy in a striking way and show the…

统计力学 · 物理学 2020-10-20 Filiberto Ares , José G. Esteve , Fernando Falceto , Alberto Usón

The wave propagation in random medium plays a critical role in optics and quantum physics. Multiple scattering of coherent wave in a random medium determines the transport procedure. Brownian motions of the scatterers perturb each…

光学 · 物理学 2022-01-25 Peng Miao , Yifan Zhang , Cheng Wang , Shanbao Tong

In our previous publication [Kogan et al, Phys. Rev. {\bf 48}, 9404 (1993)] we considered the issue of statistics of radiation diffusively propagating in a disordered medium. The consideration was in the framework of diagrammatic techniques…

凝聚态物理 · 物理学 2009-10-22 Eugene Kogan , Moshe Kaveh

Network traffic classification that is widely applicable and highly accurate is valuable for many network security and management tasks. A flexible and easily configurable classification framework is ideal, as it can be customized for use…

机器学习 · 计算机科学 2025-02-11 Jiahui Chen , Joe Breen , Jeff M. Phillips , Jacobus Van der Merwe

Wave-particle duality finds a natural application for electrons or light propagating in disordered media where coherent corrections to transport are given by two-wave interference. For scatterers with internal degrees of freedom, these…

量子物理 · 物理学 2011-03-15 Christian Miniatura , Cord A. Müller , Yin Lu , Guangquan Wang , Berthold-Georg Englert

The probability of a quantum particle being detected in a given solid angle is determined by the $S$-matrix. The explanation of this fact in time dependent scattering theory is often linked to the quantum flux, since the quantum flux…

数学物理 · 物理学 2010-08-20 Detlef Dürr , Martin Kolb , Tilo Moser , Sarah Römer

Quantum continuous measurement strategies consist an essential element in many modern sensing technologies leading to potentially enhanced estimation of unknown physical parameters. In such schemes, continuous monitoring of the quantum…

量子物理 · 物理学 2025-05-01 Theodoros Ilias

Waves propagating through a weakly scattering random medium show a pronounced branching of the flow accompanied by the formation of freak waves, i.e., extremely intense waves. Theory predicts that this strong fluctuation regime is…

无序系统与神经网络 · 物理学 2013-11-05 S. Barkhofen , J. Metzger , R. Fleischmann , U. Kuhl , H. -J. Stoeckmann

In this paper a new dissimilarity measure to identify groups of assets dynamics is proposed. The underlying generating process is assumed to be a diffusion process solution of stochastic differential equations and observed at discrete time.…

统计金融 · 定量金融 2008-12-02 Alessandro De Gregorio , Stefano Maria Iacus
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