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For complete development of quantum electrodynamics in the presence of a strong external field, the proper understanding of resonant processes and all their peculiarities is essential. We present our attempt to analytically investigate the…

High Energy Physics - Phenomenology · Physics 2022-01-05 Sergei P. Roshchupkin , Nikita R. Larin , Victor V. Dubov

The present note reviews recent results on resonances for one-dimensional quantum ergodic systems constrained to a large box. We restrict ourselves to one dimensional models in the discrete case. We consider two type of ergodic potentials…

Mathematical Physics · Physics 2011-07-05 Frédéric Klopp

We study surface states of 1D photonic crystals using a semiclassical coupled wave theory. Both TE and TM modes are treated. We derive analytic approximations that clarify the systematics of the dispersion relations, and the roles of the…

Optics · Physics 2015-06-26 G. V. Morozov , D. W. L. Sprung , J. Martorell

Coupled surface plasmons arise in the surfaces of a dielectric layer between two metallic media when a dim wave propagating in the dielectric generates resonant free charge oscillations at the interfaces. Here, we consider surface plasmon…

Optics · Physics 2024-10-29 Yago Arosa , Alejandro Doval , Raúl de la Fuente

Plasmon resonance, with strong coupling of light to electrons at a metal-dielectric interface, allows light confinement and control at subwavelength scale. It's fundamentally limited by the inherent mobility of the electrons, leading to the…

Optics · Physics 2019-02-20 Evgenii E. Narimanov

The density of states for a finite or an infinite cluster of scatterers in the case of both electrons and photons can be represented in a general form as the sum over all Krein-Friedel contributions of individual scatterers and a…

Condensed Matter · Physics 2008-02-03 Alexander Moroz

A thin metamaterial slab comprising a dielectric spacer sandwiched between a metallic grating and a ground plane is shown to possess spatially coherent surface resonance states that span a large frequency range and can be tuned by…

We derive the incremental equations for a hyperelastic solid that incorporate surface tension effect by assuming that the surface energy is a general function of the surface deformation gradient. The incremental equations take the same…

Soft Condensed Matter · Physics 2024-07-30 Xiang Yu , Yibin Fu

The electromagnetic modes and the resonances of homogeneous, finite size, two-dimensional bodies are examined in the frequency domain by a rigorous full wave approach based on an integro-differential formulation of the electromagnetic…

Mesoscale and Nanoscale Physics · Physics 2019-05-22 Carlo Forestiere , Giovanni Gravina , Giovanni Miano , Mariano Pascale , Roberto Tricarico

We consider the resonant interaction energy and force between two identical atoms, one in an excited state and the other in the ground state, placed inside a photonic crystal. The atoms, having the same orientation of their dipole moment,…

We report the observation of a bunching of ~3 photon states, which is a coherent superposition of emitted photons and resonantly scattered laser photons, arising upon excitation by even-$\pi$ pulses of a two-level system represented by a…

Mesoscale and Nanoscale Physics · Physics 2025-07-09 I. V. Krainov , A. I. Galimov , M. V. Rakhlin , A. A. Toropov , T. V. Shubina

We discuss two-photon physics, taking for illustration the particular but topical case of resonance fluorescence. We show that the basic concepts of interferences and correlations provide at the two-photon level an independent and…

Quantum Physics · Physics 2024-10-10 Eduardo Zubizarreta Casalengua , Fabrice P. Laussy , Elena del Valle

Some thermodynamical properties of solids, such as heat capacity and magnetic susceptibility, have recently been shown to be linked to the amount of entanglement in a solid. However this entanglement may appear a mere mathematical artifact…

Quantum Physics · Physics 2016-09-08 G. De Chiara , C. Brukner , R. Fazio , G. M. Palma , V. Vedral

We consider one-dimensional systems in the presence of a quasi-periodic perturbation, in the analytical setting, and study the problem of existence of quasi-periodic solutions which are resonant with the frequency vector of the…

Dynamical Systems · Mathematics 2015-07-01 Livia Corsi , Guido Gentile

In mirror-symmetric systems, there is a possibility of the realization of extended gapless electronic states characterized as nodal lines or rings. Strain induced modifications to these states lead to emergence of different classes of nodal…

Mesoscale and Nanoscale Physics · Physics 2023-03-24 Ashutosh Singh , Maria Sebastian , Yuanping Chen , Po-Yao Chang , Alexey Belyanin

A variational model for reconstruction of damaged color images is studied, in particular in the case where only finitely many colors are admissible for the reconstructed image. An existence result and regularity properties of minimizers are…

Optimization and Control · Mathematics 2018-03-30 Riccardo Cristoferi , Irene Fonseca

Realistic fluid-solid interaction potentials are essential in description of confined fluids especially in the case of geometric heterogeneous surfaces. Correlated random field is considered as a model of random surface with high geometric…

Statistical Mechanics · Physics 2017-05-24 Aleksey Khlyupin , Timur Aslyamov

We present a first-principles derivation of the variational equations describing the dynamics of the interaction of a spatial soliton and a surface plasmon polariton (SPP) propagating along a metal/dielectric interface. The variational…

Pattern Formation and Solitons · Physics 2015-06-12 A. Ferrando , C. Milián , D. V. Skryabin

The zero-range potential approach is extended for the description of situations where two-body scattering is resonant in arbitrary partial waves. The formalism generalizes the Fermi pseudopotential which can be used only for s-wave broad…

Other Condensed Matter · Physics 2009-11-11 Ludovic Pricoupenko

A general approach to the analysis of optical properties of photonic crystals based on multiple-quantum-well structures is developed. The effect of the polarization state and a non-perpendicular incidence of the electromagnetic wave is…

Mesoscale and Nanoscale Physics · Physics 2013-05-20 M. V. Erementchouk , L. I. Deych , A. A. Lisyansky