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We show a linear response statement for fixed points of a family of Markov operators which are perturbations of mixing and regularizing operators. We apply the statement to random dynamical systems on the interval given by a deterministic…

动力系统 · 数学 2019-03-05 Stefano Galatolo , Paolo Giulietti

The Rytov approximation is known in near-infrared spectroscopy including diffuse optical tomography. In diffuse optical tomography, the Rytov approximation often gives better reconstructed images than the Born approximation. Although…

数学物理 · 物理学 2023-09-01 Manabu Machida

We consider the problem of reconstructing the features of a weak anisotropic background potential by the trajectories of vortex dipoles in a nonlinear Gross-Pitaevskii equation. At leading order, the dynamics of vortex dipoles are given by…

偏微分方程分析 · 数学 2017-11-22 Ru-Yu Lai , Ravi Shankar , Daniel Spirn , Gunther Uhlmann

The Casimir-Lifshitz interaction between metamaterials is studied using a model that takes into account the structural heterogeneity of the dielectric and magnetic properties of the bodies. A recently developed perturbation theory for the…

量子物理 · 物理学 2015-05-19 Arash Azari , MirFaez Miri , Ramin Golestanian

A dielectric material's response to light is macroscopically described by electric displacement fields due to polarization and susceptibility, but the atomistic origin is light-cycle-driven motion of electron densities in the restoring…

The nonlocal electrodynamics of uniformly rotating systems is presented and its predictions are discussed. In this case, due to paucity of experimental data, the nonlocal theory cannot be directly confronted with observation at present. The…

高能物理 - 理论 · 物理学 2010-11-19 Bahram Mashhoon

We study the spectrum and stationary states in a ring-shaped lattice potential in the context of ultracold atoms with attractive interatomic interactions. We determine analytical solutions in the absence of a lattice by mapping them to…

量子气体 · 物理学 2023-11-28 Jonathan Tekverk , Christopher Siebor , Kunal K. Das

In the context of electromagnetism and nonlinear optical interactions damping is generally introduced as a phenomenological, viscous term that dissipates energy, proportional to the temporal derivative of the polarization. Here, we follow…

We report our theoretical results on the emergence of a nonlinear frequency-asymmetric optical response characteristic of chiral crystal systems with neither spatial inversion symmetry nor mirror symmetry. Based on the group theoretical…

强关联电子 · 物理学 2025-03-18 Shuhei Kanda , Satoru Hayami

A universal quantum work relation is proved for isolated time-dependent Hamiltonian systems in a magnetic field as the consequence of microreversibility. This relation involves a functional of an arbitrary observable. The quantum Jarzynski…

统计力学 · 物理学 2009-11-13 David Andrieux , Pierre Gaspard

We consider the unification problem for the gravitational and electromagnetic interactions and its possible solution on the basis of the existence of an effective Riemannian space in nonlinear electrodynamics

广义相对论与量子宇宙学 · 物理学 2010-12-15 Alexander A. Chernitskii

We study noncommutative field theories, which are inherently nonlocal, using a Poincar\'e-invariant regularisation scheme which yields an effective, nonlocal theory for energies below a cut-off scale. After discussing the general features…

高能物理 - 理论 · 物理学 2009-11-11 T. R. Govindarajan , Seckin Kurkcuoglu , Marco Panero

Nonlinear optical responses are often used as a probe for studying electronic properties of materials. For topological materials, studies so far focused on the photogalvanic electric current, which requires breaking inversion symmetry. In…

材料科学 · 物理学 2022-03-21 Margarita Davydova , Maksym Serbyn , Hiroaki Ishizuka

We present a theoretical analysis of the nonlinear response of a metamaterial consisting of an array of split ring resonators coupled to a two level atomic system (2LS) without inversion. We calculated the total complex susceptibility and…

光学 · 物理学 2011-02-23 J. L. Garcia-Pomar , R. Beigang , M. Rahm

The bulk conductivity of a two-dimensional system is studied assuming that quantum interference effects break time-reversal symmetry in the presence of strong spin-orbit interaction and strong lattice potential. The study is carried out by…

量子物理 · 物理学 2021-07-01 Kevin Jimenez , Jose Reslen

A study of the dynamical two-dimensional (2D) nonlinear response of the dimerized spin-$1{/}2$ chain to external electric fields is presented. The coupling of the spin system to those fields is set to arise from the inverse…

强关联电子 · 物理学 2025-07-25 Wolfram Brenig

Nonlinear metasurfaces offer a new paradigm to realize optical nonlinear devices with new and unparalleled behavior compared to nonlinear crystals, due to the interplay between photonic resonances and materials properties. The complicated…

Nonlinear optics is a rapidly growing field that has found a wide range of applications. A major limitation, however, is the demand of high power, especially for high-order nonlinearities. Here, by reconfiguring a multiple-scattering…

光学 · 物理学 2022-08-19 Yaniv Eliezer , Ulrich Ruhrmair , Nils Wisiol , Stefan Bittner , Hui Cao

Although there is no relative motion among different points on a rotating disc, each point belongs to a different noninertial frame. This fact, not recognized in previous approaches to the Ehrenfest paradox and related problems, is…

广义相对论与量子宇宙学 · 物理学 2014-11-17 H. Nikolic

This paper is concerned with the ubiquitous inverse problem of recovering an unknown function u from finitely many measurements possibly affected by noise. In recent years, inversion methods based on linear approximation spaces were…

数值分析 · 数学 2022-10-06 Albert Cohen , Matthieu Dolbeault , Olga Mula , Agustin Somacal