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We discuss the properties of the effective dipolar interaction for two particles tightly confined along a one-dimensional tube, stressing the emergence of a single dipolar-induced resonance in a regime for which two classical dipoles would…

Quantum Gases · Physics 2015-04-24 Nicola Bartolo , David J. Papoular , Alessio Recati , Chiara Menotti

We consider a one-dimensional membrane-in-the-middle model for a cavity that consists of two fixed, perfect mirrors and a mobile dielectric membrane between them that has a constant electric susceptibility. We present a sequence of exact…

Quantum Physics · Physics 2024-09-10 Luis Pedro Lara , Ricardo Weder , Luis Octavio Castaños-Cervantes

A pulse of light, injected into a weakly disordered dielectric medium, typically, will leave its initial location in a short time, by diffusion. However, due to some rare configurations of disorder, there is a possibility of formation of…

Disordered Systems and Neural Networks · Physics 2018-03-21 V. M. Apalkov , M. E. Raikh , B. Shapiro

The phenomenon of time resonances (or explosions) can explain the exponential reduction of the energy, which is accompanied for the certain degree by slight fluctuations under some conditions in the range of the energy strongly overlapped…

Nuclear Theory · Physics 2009-02-17 V. S. Olkhovsky , M. E. Dolinska , S. A. Omelchenko

Subwavelength dielectric structures offer an attractive low loss alternative to plasmonic structures for the development of resonant optics functionality such as metamaterials. Nonspherical like rectangular structures are of most interest…

Optics · Physics 2013-12-03 Lujun Huang , Yiling Yu , Linyou Cao

Cavities play a fundamental role in wave phenomena from quantum mechanics to electromagnetism and dictate the spatiotemporal physics of lasers. In general, they are constructed by closing all "doors" through which waves can escape. We…

Recently, black hole models in a nonlinear modification of the Maxwell electrodynamics were suggested, possessing simultaneously properties of an extreme charge and regularity (Bronnikov K. A., Phys. Rev. D, 110 (2024) 024021). We study…

General Relativity and Quantum Cosmology · Physics 2025-03-06 Milena Skvortsova

Presented here is the development and demonstration of a tunable cavity-enhanced terahertz frequency-domain optical Hall effect technique. The cavity consists of at least one fixed and one tunable Fabry-P\'erot resonator. The approach is…

The study of resonant dielectric nanostructures with high refractive index is a new research direction in nanoscale optics and metamaterial-inspired nanophotonics. Because of the unique optically-induced electric and magnetic Mie…

We study the quasinormal mode and stability of optical black holes in moving dielectrics. The results show that the real part of complex frequencies is inversely proportional to but the absolute value of an imaginary part is proportional to…

General Relativity and Quantum Cosmology · Physics 2020-02-05 Yang Guo , Yan-Gang Miao

We consider scattering by star-shaped obstacles in hyperbolic space and show that resonances satisfy a universal bound $\mathrm{Im}\,\lambda \leq -\frac{1}{2}$ which is optimal in dimension $2$. In odd dimensions we also show that…

Spectral Theory · Mathematics 2020-05-28 Peter Hintz , Maciej Zworski

Strong coupling between various kinds of material excitations and optical modes has recently shown potential to modify chemical reaction rates in both excited and ground states. The ground-state modification in chemical reaction rates has…

We explore physics of unstable particles when mother particle mass is around the sum of its daughter particle masses. In this case, the conventional wave function renormalization factor is ill-defined. We propose a simple resolution of the…

High Energy Physics - Phenomenology · Physics 2016-08-03 Dongjin Chway , Tae Hyun Jung , Hyung Do Kim

We study the stability of odd-dimensional rotating black holes with equal angular momenta by performing an expansion in the inverse of the number of dimensions D. Universality at large $D$ allows us to calculate analytically the complex…

High Energy Physics - Theory · Physics 2022-03-07 Roberto Emparan , Ryotaku Suzuki , Kentaro Tanabe

Two-dimensional dielectric microcavities are of widespread use in microoptics applications. Recently, a trace formula has been established for dielectric cavities which relates their resonance spectrum to the periodic rays inside the…

Optics · Physics 2015-05-27 Robert F. M. Hales , Martin Sieber , Holger Waalkens

We study echoes of free massless scalar from dyonic black holes in Einstein-Maxwell gravity extended with the quasi-topological electromagnetic term. These asymptotically-flat black holes all satisfy the dominant energy condition. We find…

High Energy Physics - Theory · Physics 2022-06-08 Hyat Huang , Min-Yan Ou , Meng-Yun Lai , H. Lu

The nanocrystallite have the finite number of the oscillation modes. Their number increases proportionally to a cube of the characteristic size. Thus the oscillation spectrum of nanocrystal becomes discrete, and the separate modes of…

Superconductivity · Physics 2007-12-24 V. G. Andreev , L. V. Kravchuk , S. G. Lebedev , A. V. Samokhin , N. V. Alekseev

In this paper, we study the long-time existence result for small data solutions of quasilinear wave equations exterior to star-shaped regions in two space dimensions. The key novelty is that we establish a Morawetz type energy estimate for…

Analysis of PDEs · Mathematics 2025-07-10 Lai Ning-An , Ren Cui , Xu Wei

A microscopic theory of the plasma resonance in layered metals is presented. It is shown that electron-impurity scattering can suppress the plasma resonance in the normal state and sharpen it in the superconducting state. Analytic…

Condensed Matter · Physics 2009-10-22 S. V. Pokrovsky , V. L. Pokrovsky

We have designed photonic crystal suspended membranes with optimized optical and mechanical properties for cavity optomechanics. Such resonators sustain vibration modes in the megahertz range with quality factors of a few thousand. Thanks…

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