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Bell's theorem shows that local measurements on entangled states give rise to correlations incompatible with local hidden variable models. The degree of quantum nonlocality is not maximal though, as there are even more nonlocal theories…

Quantum Physics · Physics 2018-12-26 Cristhiano Duarte , Samuraí Brito , Barbara Amaral , Rafael Chaves

For non-equilibrium systems of interacting particles and for interacting diffusions in d dimensions, a novel fluctuation relation is derived. The theorem establishes a quantitative relation between the probabilities of observing two current…

Statistical Mechanics · Physics 2015-12-07 Carlos Pérez-Espigares , Frank Redig , Cristian Giardinà

We study the temporal evolution of speckle patterns in transmission of short wave pulses through a disordered waveguide. In the diffuse regime, the short-range spatial structure of speckles is the same as for continuous wave (cw)…

Disordered Systems and Neural Networks · Physics 2007-05-23 S. E. Skipetrov

The emergence of nonequilibrium phenomena in individual complex wave systems has long been of fundamental interests. Its analytic studies remain notoriously difficult. Using the mathematical tool of the concentration of measure (CM), we…

Statistical Mechanics · Physics 2018-11-14 Ping Fang , Liyi Zhao , Chushun Tian

Polarization-entangled photon pairs generated from second-order nonlinear optical media have been extensively studied for both fundamental research and potential applications of quantum information. In spontaneous parametric down-conversion…

Quantum Physics · Physics 2024-10-01 B. S. Ham

The interplay between cosmology and strongly coupled dynamics can yield transient spectral features that vanish at late times, but which may leave behind phenomenological signatures in the spectrum of primordial fluctuations. Of particular…

Cosmology and Nongalactic Astrophysics · Physics 2025-02-18 Jay Hubisz , Seung J. Lee , He Li , Bharath Sambasivam

In the last years there has been a growing interest in the understanding a vast variety of scale invariant and critical phenomena occurring in nature. Experiments and observations indeed suggest that many physical systems develop…

Astrophysics · Physics 2019-08-17 L. Pietronero , F. Sylos Labini , M. Montuori

We examine metastable configurations of a two-dimensional system of interacting particles on a quenched random potential landscape and ask how the configurational pair correlation function is related to the particle interactions and the…

Superconductivity · Physics 2016-08-31 Muhittin Mungan , Chorng-Haur Sow , Susan N. Coppersmith , David G. Grier

We discuss spectral correlations in coarse-grained chaotic two-dimensional CFTs with large central charge. We study a partition function describing the dense part of the spectrum of primary states in a way that disentangles the chaotic…

High Energy Physics - Theory · Physics 2023-10-05 Felix M. Haehl , Charles Marteau , Wyatt Reeves , Moshe Rozali

We study the effects of spatially inhomogeneous diffusion on the non-equilibrium phase transition in the contact process. The directed-percolation critical point in the contact process is known to be stable against the addition of a…

Statistical Mechanics · Physics 2026-03-06 Valentin Anfray , Manisha Dhayal , Hong-Yan Shih , Thomas Vojta

Imaging through scattering and random media is an outstanding problem that to date has been tackled by either measuring the medium transmission matrix or exploiting linear correlations in the transmitted speckle patterns. However,…

Optics · Physics 2022-04-07 Ilya Starshynov , Alex Turpin , Philip Binner , Daniele Faccio

We investigate long-range intensity correlations on both sides of the Anderson transition of classical waves in a three-dimensional (3D) disordered material. Our ultrasonic experiments are designed to unambiguously detect a recently…

Disordered Systems and Neural Networks · Physics 2014-02-27 W. K. Hildebrand , A. Strybulevych , S. E. Skipetrov , B. A. van Tiggelen , J. H. Page

Systems describing the long-range interaction between individuals have attracted a lot of attention in the last years, in particular in relation with living systems. These systems are quadratic, written under the form of transport equations…

Analysis of PDEs · Mathematics 2023-06-13 Marie Doumic , Sophie Hecht , Benoit Perthame , Diane Peurichard

Spatial field correlation functions represent a key quantity for the description of mesoscopic phenomena in disordered media and the optical characterization of complex materials. Yet many aspects related to the vector nature of light waves…

Optics · Physics 2014-02-03 Kevin Vynck , Romain Pierrat , Rémi Carminati

We investigate the mean-field limit for interacting particle systems through a duality-based framework and obtain quantitative estimates on the convergence of marginals as well as on correlation functions. In particular, for merely…

Analysis of PDEs · Mathematics 2026-05-05 Nadia Khoury , P. -E. Jabin

We computationally study jammed disordered hard-sphere packings as large as a million particles. We show that the packings are saturated and hyperuniform, i.e., that local density fluctuations grow only as a logarithmically-augmented…

Statistical Mechanics · Physics 2009-11-11 A. Donev , F. H. Stillinger , S. Torquato

We numerically analyse the density field of three-dimensional randomly jammed packings of monodisperse soft frictionles spherical particles, paying special attention to fluctuations occurring at large lengthscales. We study in detail the…

Statistical Mechanics · Physics 2017-05-18 Atsushi Ikeda , Ludovic Berthier , Giorgio Parisi

Massively parallel recordings of spiking activity in cortical networks show that covariances vary widely across pairs of neurons. Their low average is well understood, but an explanation for the wide distribution in relation to the static…

Disordered Systems and Neural Networks · Physics 2019-08-13 David Dahmen , Markus Diesmann , Moritz Helias

In a disordered medium with Kerr-type nonlinearity, the transmitted speckle pattern was predicted to become unstable, as a result of the positive feedback between the intensity fluctuations and the nonlinear dependence of the local…

Disordered Systems and Neural Networks · Physics 2010-04-26 Umberto Bertolozzo , Stefania Residori , Patrick Sebbah

Given an arbitrary finite dimensional Hamiltonian H_0, we consider the model H=H_0+\Delta H, where \Delta H is a generic fully connected interaction. By using the strong law of large numbers we easily prove that, for all such models, a…

Statistical Mechanics · Physics 2012-03-19 M. Ostilli