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Lieb-Robinson-type bounds are reported for a large class of classical Hamiltonian lattice models. By a suitable rescaling of energy or time, such bounds can be constructed for interactions of arbitrarily long range. The bound quantifies the…

Statistical Mechanics · Physics 2014-05-30 David Métivier , Romain Bachelard , Michael Kastner

In materials science, wedge disclinations are defects caused by angular mismatches in the crystallographic lattice. To describe such disclinations, we introduce an atomistic model in planar domains. This model is given by a…

Analysis of PDEs · Mathematics 2020-05-28 Pierluigi Cesana , Patrick van Meurs

Extracting momentum-resolved excitation spectra in strongly correlated quantum systems remains a major challenge, especially beyond one spatial dimension. We present an efficient tensor-network approach to compute dispersion relations via…

Quantum Physics · Physics 2026-04-27 Valeriia Bilokon , Elvira Bilokon , Illya Lukin , Andrii Sotnikov , Denys Bondar

Constructions of synthetic lattices in photonics attract growingly attentions for exploring interesting physics beyond the geometric dimensionality, among which modulated ring resonator system has been proved as a powerful platform to…

A coupled atomistic spin and lattice dynamics approach is developed which merges the dynamics of these two degrees of freedom into a single set of coupled equations of motion. The underlying microscopic model comprises local exchange…

Materials Science · Physics 2018-01-24 J. Fransson , D. Thonig , P. F. Bessarab , S . Bhattacharjee , J. Hellsvik , L. Nordström

We study the optical response of a 2D square lattice of atoms using classical electrodynamics. Due to dipole-dipole interactions, the lattice atoms polarize as if the lattice were an atom with up to three resonance frequencies, with…

Atomic Physics · Physics 2019-07-18 Juha Javanainen , Renuka Rajapakse

Discrete diffusion models have emerged as a powerful class of models and a promising route to fast language generation, but practical implementations typically rely on factored reverse transitions ignoring cross-token dependencies and…

Machine Learning · Computer Science 2026-05-14 Dario Shariatian , Alain Durmus , Umut Simsekli , Stefano Peluchetti

We introduce a general formulation of the fluctuation-dissipation relations (FDR) holding also in far-from-equilibrium stochastic dynamics. A great advantage of this version of the FDR is that it does not require the explicit knowledge of…

Statistical Mechanics · Physics 2021-09-15 Marco Baldovin , Lorenzo Caprini , Angelo Vulpiani

We discuss basic concepts and properties of diffractive phenomena in soft hadron collisions and in deep-inelastic scattering at low Bjorken-x. The paper is not a review of the rapidly developing field but presents an attempt to show in…

High Energy Physics - Phenomenology · Physics 2011-07-19 E. A. De Wolf

Space-time modulation of electromagnetic parameters offers novel exciting possibilities for advanced field manipulations. In this study, we explore wave scattering from a time-varying interface characterized by a Lorentz-type dispersion…

The transport of motile entities across modulated energy landscapes plays an important role in a range of phenomena in biology, colloidal science and solid-state physics. Here, an easily implementable strategy that allows for the collective…

Soft Condensed Matter · Physics 2020-03-11 Fernando Martínez-Pedrero , Francisco Ortega , Ramón G. Rubio , Carles Calero

We consider a random diffusion dynamics for an infinite system of hard spheres of two different sizes evolving in $\mathbb{R}^d$, its reversible probability measure, and its projection on the subset of the large spheres. The main feature is…

Probability · Mathematics 2024-03-05 Myriam Fradon , Julian Kern , Sylvie Roelly , Alexander Zass

We construct a nonlinear lattice that has a particular symmetry in its potential function consisting of long-range pairwise interactions. The symmetry enhances smooth propagation of discrete breathers, and it is defined by an invariance of…

Pattern Formation and Solitons · Physics 2022-03-03 Yusuke Doi , Kazuyuki Yoshimura

A simplified model of periodic chiral beam-lattices containing local resonators has been formulated to obtain a better understanding of the influence of the chirality and of the dynamic characteristics of the local resonators on the…

Materials Science · Physics 2015-08-10 Andrea Bacigalupo , Luigi Gambarotta

We propose the fundamental and two dimensional representation of the Lorentz groups on a (3+1)-dimensional hypercubic lattice, from which representations of higher dimensions can be constructed. For the unitary representation of the…

High Energy Physics - Lattice · Physics 2008-11-26 M. Lorente , P. Kramer

Compression dramatically changes the transport and localization properties of graphene. This is intimately related to the change of symmetry of the Dirac cone when the particle hopping is different along different directions of the lattice.…

Mesoscale and Nanoscale Physics · Physics 2020-11-05 B. Real , O. Jamadi , M. Milićević , N. Pernet , P. St-Jean , T. Ozawa , G. Montambaux , I. Sagnes , A. Lemaître , L. Le Gratiet , A. Harouri , S. Ravets , J. Bloch , A. Amo

We demonstrate experimentally the generation of square and hexagonal lattices of optical vortices and reveal their propagation in a saturable nonlinear medium. If the topological charges of the vortices are of the same sign the lattice…

Pattern Formation and Solitons · Physics 2009-11-07 Alexander Dreischuh , Sotir Chervenkov , Dragomir Neshev , Gerhard G. Paulus , Herbert Walther

We relate ordinary and skewed parton distributions to soft overlap contributions to elastic form factors and large angle Compton scattering, using light-cone wave functions in a Fock state expansion of the nucleon. With a simple ansatz for…

High Energy Physics - Phenomenology · Physics 2011-09-13 M. Diehl , T. Feldmann , R. Jakob , P. Kroll

While it has been pointed out that the chiral symmetry, which is important for the Dirac fermions in graphene, can be generalized to tilted Dirac fermions as in organic metals, such a generalized symmetry was so far defined only for a…

Mesoscale and Nanoscale Physics · Physics 2017-01-04 T. Kawarabayashi , H. Aoki , Y. Hatsugai

A dispersion-managed optical system with step-wise periodical variation of dispersion is studied in a strong dispersion map limit in the framework of path-averaged Gabitov-Turitsyn equation. The soliton solution is obtained by iterating the…

Pattern Formation and Solitons · Physics 2009-11-07 P. M. Lushnikov