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We formulate a theory for resonances in the many-body localised (MBL) phase of disordered quantum spin chains in terms of local observables. A key result is to show that there are universal correlations between the matrix elements of local…

Disordered Systems and Neural Networks · Physics 2022-08-26 Samuel J. Garratt , Sthitadhi Roy

In classical mechanics, a particle cannot escape from an unbounded potential well. Naively, one would expect a similar result to hold in wave mechanics, since high barriers make tunneling difficult. However, this is not always the case and…

Optics · Physics 2025-04-10 Stefano Longhi

This paper is devoted to the characterization of the energy release rate of a crack which is merely closed, connected, and with density $1/2$ at the tip. First, the blow-up limit of the displacement is analyzed, and the convergence to the…

Analysis of PDEs · Mathematics 2014-06-27 Jean-François Babadjian , Antonin Chambolle , Antoine Lemenant

In this paper we derive an impedance boundary condition to approximate the optical scattering effect of an array of plasmonic nanoparticles mounted on a perfectly conducting plate. We show that at some resonant frequencies the impedance…

Analysis of PDEs · Mathematics 2016-02-17 Habib Ammari , Matias Ruiz , Wei Wu , Sanghyeon Yu , Hai Zhang

The general features of the light scattering resulting in the so-called resonant Wood's anomalies in the reflection and transmission spectra are described using the effective parameters of a quasi-guided mode. The expression determining the…

Optics · Physics 2016-12-28 Mikhail M. Voronov

In this paper we study, in the time domain, the interaction between localized surface plasmons and photons in arbitrarily shaped metal nanoparticles, by using the Hopfield approach to quantize the plasmon modes, where the electron…

We study plasmonic time crystals, an extension of dielectric-based photonic time crystals to plasmonic media. Remarkably, we demonstrate that such systems may amplify both longitudinal and transverse modes. In particular, we show that…

In this paper we study the dynamics of metamaterials composed of high-contrast subwavelength resonators and show the existence of localised modes in such a setting. A crucial assumption in this paper is time-modulated material parameters.…

Analysis of PDEs · Mathematics 2025-01-13 Habib Ammari , Erik Orvehed Hiltunen , Liora Rueff

Finite-thickness effects are analyzed theoretically for the plasma frequency and associated dielectric response function of plasmonic films formed by periodically aligned, infinitely thin, identical metallic cylinders. The plasma frequency…

Mesoscale and Nanoscale Physics · Physics 2019-08-05 Igor V. Bondarev

We investigate numerically the time evolution of wave packets incident on one-dimensional semi-infinite lattices with mosaic modulated random on-site potentials, which are characterized by the integer-valued modulation period $\kappa$ and…

Disordered Systems and Neural Networks · Physics 2022-10-13 Ba Phi Nguyen , Duy Khuong Phung , Kihong Kim

In continuation of previous work, numerical results are presented, concerning relativistically counter-streaming plasmas. Here, the relativistic mixed mode instability evolves through, and beyond, the linear saturation -- well into the…

Plasma Physics · Physics 2008-11-26 Jacob Trier Frederiksen , Mark Eric Dieckmann

The long-time dynamics of quantum systems, typically, but not always, results in a thermal steady state. The microscopic processes that lead to or circumvent this fate are of interest, since everyday experience tells us that not all spatial…

Statistical Mechanics · Physics 2024-05-13 Ken K. W. Ma , Hitesh J. Changlani

In this paper, we describe the manifestation of localized states through coherent and incoherent analyses of a diffuse elastic wavefield inside a two-dimensional metamaterial made of a collection of vertical long beams glued to a thin…

To date, the vast majority of architected materials have leveraged two physical principles to control wave behavior, namely Bragg interference and local resonances. Here, we describe a third path: structures that accommodate a finite number…

Applied Physics · Physics 2023-05-31 Aleksi Bossart , Romain Fleury

The presence of resonances modifies the passage of light or of electrons through a disordered medium. We generalize random matrix theory to account for this effect. Using supersymmetry, we calculate analytically the mean density of states,…

Disordered Systems and Neural Networks · Physics 2009-10-31 B. Elattari , V. Kagalovsky , H. A. Weidenmueller

The importance of spatial non-locality in the description of negative refraction in electromagnetic materials has been put forward recently. We develop a theory of negative refraction in homogeneous and isotropic media, based on first…

Optics · Physics 2017-04-05 Davide Forcella , Claire Prada , Rémi Carminati

We study the mobility of an overdamped particle in a periodic potential tilted by a constant force. The mobility exhibits a stochastic resonance in inhomogeneous systems with space dependent friction coefficient. The result indicates that…

Statistical Mechanics · Physics 2009-10-31 Debasis Dan , Mangal. C. Mahato , A. M. Jayannavar

The strength of light emission near metallic nanostructures can scale anomalously with frequency and dimensionality. We find that light-matter interactions in plasmonic systems confined in two dimensions (e.g., near metal nanowires)…

Optics · Physics 2015-05-27 D. A. Genov , R. F. Oulton , G. Bartal , X. Zhang

Frequency locking to an external forcing frequency is a {well} known phenomenon. In the auditory system, it results in a localized traveling wave, the shape of which is essential for efficient discrimination between incoming frequencies. An…

Pattern Formation and Solitons · Physics 2018-09-12 Yuval Edri , Dolores Bozovic , Ehud Meron , Arik Yochelis

We study the effect of electron spill-out and of nonlocality on the propagation of light inside a gap between two semi-infinite metallic regions. We compare the predictions of a local response model taking into account only the spill-out,…

Optics · Physics 2021-11-01 M. Khalid , O. Morandi , E. Mallet , P. A. Hervieux , G. Manfredi , A. Moreau , C. Ciracì
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