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We study the distinguishability notion given by Wootters for states represented by probability density functions. This presents the particularity that it can also be used for defining a distance in chaotic unidimensional maps. Based on that…

混沌动力学 · 物理学 2017-09-13 Ignacio S. Gomez , Mariela Portesi , Pedro W. Lamberti

Understanding transport processes in complex nanoscale systems, like ionic conductivities in nanofluidic devices or heat conduction in low dimensional solids, poses the problem of examining fluctuations of currents within nonequilibrium…

介观与纳米尺度物理 · 物理学 2021-08-04 David T. Limmer , Chloe Y. Gao , Anthony R. Poggioli

A general density-matrix formulation of quantum-transport phenomena in semiconductor nanostructures is presented. More specifically, contrary to the conventional single-particle correlation expansion, we shall investigate separately the…

材料科学 · 物理学 2009-11-11 Rita Claudia Iotti , Emanuele Ciancio , Fausto Rossi

We establish a comprehensive probability theory for coherent transport of random waves through arbitrary linear media. The transmissivity distribution for random coherent waves is a fundamental B-spline with knots at the transmission…

光学 · 物理学 2025-11-07 Yunrui Wang , Cheng Guo

The application of random matrix theory to scattering requires introduction of system-specific information. This paper shows that the average impedance matrix, which characterizes such system-specific properties, can be semiclassically…

We propose a method for approximating the large deviation rate function of time-integrated observables of diffusion processes, used in statistical physics to characterize the fluctuations of nonequilibrium systems. The method is based on…

统计力学 · 物理学 2026-01-15 Pelerine Tsobgni Nyawo , Hugo Touchette

Many disordered systems show a superdiffusive dynamics, intermediate between the diffusive one, typical of a classical stochastic process, and the so called ballistic behaviour, which is generally expected for the spreading in a quantum…

In this article we exploit the Bhattacharyya statistical divergence to determine the similarity of probability distributions of quantum observables. After brief review of useful characteristics of the Bhattacharyya divergence we apply it to…

统计力学 · 物理学 2009-11-07 V. Majernik , S. Shpyrko

An asymptotic analysis of wave propagation in randomly perturbed waveguides is carried out in order to identify the effective Markovian dynamics of the guided mode powers. The main result consists in a quantification of the fluctuations of…

偏微分方程分析 · 数学 2020-01-03 Josselin Garnier

Traditionally, the understanding of quantum transport, coherent and ballistic1, relies on the measurement of macroscopic properties such as the conductance. While powerful when coupled to statistical theories, this approach cannot provide a…

介观与纳米尺度物理 · 物理学 2007-05-23 B. Hackens , F. Martins , T. Ouisse , H. Sellier , S. Bollaert , X. Wallart , A. Cappy , J. Chevrier , V. Bayot , S. Huant

Open quantum systems are highly relevant, both for practical applications as well as for fundamental questions about the nature of information and its transfer, encompassing for example decoherence and memory effects. Quantum mechanics…

When the electric conductance of a nano-sized metal is measured at low temperatures, it often exhibits complex but reproducible patterns as a function of external magnetic fields, called quantum fingerprints in electric conductance. Such…

介观与纳米尺度物理 · 物理学 2022-06-14 Shunsuke Daimon , Kakeru Tsunekawa , Shinji Kawakami , Takashi Kikkawa , Rafael Ramos , Koichi Oyanagi , Tomi Ohtsuki , Eiji Saitoh

We characterize quantumness of the so-called quantum walks (whose dynamics is governed by quantum mechanics) by introducing two computable measures which are stronger than the variance of the walker's position probability distribution. The…

量子物理 · 物理学 2018-10-09 F. Shahbeigi , S. J. Akhtarshenas , A. T. Rezakhani

Scanning tunneling spectroscopy measures how a single electron with definite energy propagates between a sample surface and the tip of a scanning tunneling microscope. In the simplest description, the differential conductance measured is…

介观与纳米尺度物理 · 物理学 2019-05-07 Mikko M. Ervasti , Fabian Schulz , Peter Liljeroth , Ari Harju

We show that reflection symmetry has a strong influence on quantum transport properties. Using a random S-matrix theory approach, we derive the weak-localization correction, the magnitude of the conductance fluctuations, and the…

凝聚态物理 · 物理学 2009-10-28 Harold U. Baranger , Pier A. Mello

We apply the large-deviation method to study trajectories in dissipative quantum systems. We show that in the long time limit the statistics of quantum jumps can be understood from thermodynamic arguments by exploiting the analogy between…

统计力学 · 物理学 2010-04-20 Juan P. Garrahan , Igor Lesanovsky

Quantum coherence is a fundamental property of quantum systems, separating quantum from classical physics. Recently, there has been significant interest in the characterization of quantum coherence as a resource, investigating how coherence…

We study the wave transport through a disordered system inside a waveguide. The expectation value of the complex reflection and transmission coefficients (the coherent fields) as well as the transmittance and reflectance are obtained…

无序系统与神经网络 · 物理学 2014-10-24 M. Yepez

A century after its conception, quantum mechanics still hold surprises that contradict many "common sense" notions. The contradiction is especially sharp in case one consider trajectories of truly quantum objects such as single photons.…

Correct prediction of particle transport by surface waves is crucial in many practical applications such as search and rescue or salvage operations and pollution tracking and clean-up efforts. Recent results have indicated transport by…

流体动力学 · 物理学 2023-01-26 D. Eeltink , R. Calvert , J. E. Swagemakers , Qian Xiao , T. S. van den Bremer