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The effect of Coulomb and short-range interactions on the spectral properties of two-dimensional disordered systems with two spinless fermions is investigated by numerical scaling techniques. The size independent universality of the…

Disordered Systems and Neural Networks · Physics 2009-10-31 E. Cuevas

We examine the fluctuations of the empirical density measure for the colour version of the symmetric nearest neighbour zero range particle systems in dimension one. We show that the weak limit of these fluctuations is the solution of a…

Probability · Mathematics 2007-05-23 Hanna Jankowski

Non-equilibrium systems have long-ranged spatial correlations even far away from critical points. This implies that the likelihoods of spatial steady state profiles of physical observables are nonlocal functionals. In this letter, it is…

Statistical Mechanics · Physics 2015-05-14 Otto Pulkkinen

Spontaneous pattern formation from a uniform state is a widely studied nonlinear optical phenomenon that shares similarities with non-equilibrium pattern formation in other scientific domains. Here we show how a single layer of atoms in an…

Optics · Physics 2023-12-22 C. D. Parmee , J. Ruostekoski

When a periodic 1D system described by a tight-binding model is uniformly initialized with equal amplitudes at all sites, yet with completely random phases, it evolves into a thermal distribution with no spatial correlations. However, when…

Disordered Systems and Neural Networks · Physics 2010-12-09 Yaron Silberberg , Yoav Lahini , Yaron Bromberg , Eran Small , Roberto Morandotti

In hierarchical models, density fluctuations on different scales are correlated. This induces correlations between dark halo masses, their formation histories, and their larger-scale environments. In turn, this produces a correlation…

Astrophysics · Physics 2009-11-13 Ummi Abbas , Ravi K. Sheth

Understanding light-matter interaction in disordered photonic media allows people to manipulate light scattering and achieve exciting applications using seemingly scrambled media. As the concentration of scattering particles rises, they are…

Optics · Physics 2018-07-27 B. X. Wang , C. Y. Zhao

The irradiation of a dilute cloud of cold atoms with a coherent light field produces a random intensity distribution known as laser speckle. Its statistical fluctuations contain information about the mesoscopic scattering processes at work…

Disordered Systems and Neural Networks · Physics 2016-08-08 Cord A. Müller , Benoît Grémaud , Christian Miniatura

Hidden stochastic effects acting uniformly on a many-particle system can generate strong correlations and macroscopic relative fluctuations that persist at large system sizes, even when the particles themselves remain causally independent.…

Statistical Mechanics · Physics 2026-03-03 Kristian Stølevik Olsen

The one-dimensional pair contact process with a particle source is studied by using dynamical cluster mean-field approximations with sites up to $n=12$. The results obtained for different levels of approximation become convergent especially…

Statistical Mechanics · Physics 2009-11-07 Attila Szolnoki

We consider a mean-field model of coupled phase oscillators with quenched disorder in the coupling strengths and natural frequencies. When these two kinds of disorder are uncorrelated (and when the positive and negative couplings are equal…

Statistical Mechanics · Physics 2016-03-02 Hyunsuk Hong , Kevin P. O'Keeffe , Steven H. Strogatz

The height-height correlation function for a fluctuating interface between two coexisting bulk phases is derived by means of general equilibrium properties of the corresponding density-density correlation function. A wavelength-dependent…

Soft Condensed Matter · Physics 2009-11-13 Thorsten Hiester

We predict a new spatial quantum correlation in light propagating through a multiple scattering random medium. The correlation depends on the quantum state of the light illuminating the medium, is infinite range, and dominates over…

Quantum Physics · Physics 2009-11-11 P. Lodahl , A. P. Mosk , A. Lagendijk

Speckle patterns generated in a disordered medium carry a lot of information despite the apparent complete randomness in the intensity pattern. When the medium possesses $\chi^{(2)}$ nonlinearity, the speckle is sensitive to the phase of…

A new theory is presented for the development of circular polarization as radio waves propagate through the turbulent, birefringent interstellar medium. The fourth order moments of the wavefield are calculated and it is shown that…

Astrophysics · Physics 2009-10-31 J. -P. Macquart , D. B. Melrose

We develop a perturbative theory that describes a superluminal refractive perturbation propagating in a dispersive medium and the subsequent excitation of the quantum vacuum zero-point fluctuations. We find a process similar to the…

We show that the field speckle pattern of transmitted microwave radiation can be decomposed into a sum of patterns of the modes of the medium. We find strong correlation between modal field speckle patterns which leads to destructive…

Disordered Systems and Neural Networks · Physics 2015-06-11 Jing Wang , Azriel Z. Genack

When observing a quantum field via detectors with access to only the mixed states of spatially separated, local regions -- a ubiquitous experimental design -- the capacity to access the full extent of distributed entanglement can be…

Quantum Physics · Physics 2023-08-02 Natalie Klco , D. H. Beck

We consider a field theory describing interacting nonrelativistic particles of two types, which map to each other under time reversal, with point-like interaction. We identify a new type of interaction which depends on the relative velocity…

Quantum Gases · Physics 2018-05-02 Soke Yuen Yong , Dam Thanh Son

A zero-energy mid-band singularity has been found in the energy spectrum of random matrices with correlations between diagonal and off-diagonal elements typical of vibrational problems. Two representative classes of matrices, characterizing…

Disordered Systems and Neural Networks · Physics 2009-11-07 S. N. Taraskin , S. R. Elliott