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Fano models - consisting of a Hamiltonian with discrete-continuous spectrum - are one of the basic toy models in spectroscopy. They have been succesfull in explaining the lineshape of experiments in atomic physics and condensed matter.…

Quantum Physics · Physics 2018-03-06 Daniel Finkelstein-Shapiro , Arne Keller

A periodically-uneven (in one horizontal direction) stress-free boundary covering a linear, isotropic, homogeneous, lossless solid half space is submitted to a vertically-propagating shear-horizontal plane, body wave. The rigorous theory of…

Computational Physics · Physics 2018-05-28 Armand Wirgin

The scattering theory of the integrable statistical models can be generalized to the case of systems with extended lines of defect. This is done by adding the reflection and transmission amplitudes for the interactions with the line of…

High Energy Physics - Theory · Physics 2009-10-28 G. Delfino , G. Mussardo , P. Simonetti

Fano resonance is a unique feature of interacting quantum systems, exhibiting resonance shapes distinctively different from conventional symmetric resonance curves. Recently, Fano resonances have been found in plasmonic nanoparticles,…

Applied Physics · Physics 2019-07-02 G. Puentes

We investigate electron transport through a diatomic molecule parallelly coupled to infinite source and drain contacts. We utilize a model Hamiltonian involving a Hubbard term in which the contacts are modeled using recently developed…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Ali Goker

Wave scattering in chaotic systems can be characterized by its spectrum of resonances, $z_n=E_n-i\frac{\Gamma_n}{2}$, where $E_n$ is related to the energy and $\Gamma_n$ is the decay rate or width of the resonance. If the corresponding ray…

Chaotic Dynamics · Physics 2012-03-27 Marcel Novaes

We consider a non-relativistic quantum particle interacting with a singular potential supported by two parallel straight lines in the plane. We locate the essential spectrum under the hypothesis that the interaction asymptotically…

Spectral Theory · Mathematics 2014-06-12 Sylwia Kondej , David Krejcirik

We are concerned with the acoustic scattering problem, at a frequency $\kappa$, by many small obstacles of arbitrary shapes with impedance boundary condition. These scatterers are assumed to be included in a bounded domain $\Omega$ in…

Analysis of PDEs · Mathematics 2016-10-20 Durga Prasad Challa , Mourad Sini

Coupling between tuneable broadband modes of an array of plasmonic metamolecules and a vibrational mode of carbonyl bond of poly(methyl methacrylate) is shown experimentally to produce a Fano resonance, which can be tuned in situ by varying…

Mesoscale and Nanoscale Physics · Physics 2015-06-11 E. J. Osley , C. G. Biris , P. G. Thompson , R. R. F. Jahromi , P. A. Warburton , N. C. Panoiu

By embedding four-rod resonators inside double-split ring resonators superlattice, a planar composite metamaterial possessing tripod plasmonic resonances is fabricated. Double Fano resonances are observed where a common subradiant driven…

Spectroscopic signatures associated with symmetric Lorentzian and asymmetric Fano line shapes are ubiquitous. Distinct features of Fano resonances in contrast with conventional symmetric resonances have found several applications in…

Optics · Physics 2021-12-10 Davis M. Welakuh , Prineha Narang

We present a theory for Fano interference in light scattering by individual obstacle, based on a temporal coupled-mode formalism. This theory is applicable for obstacles that are much smaller than the incident wavelength, or for systems…

Optics · Physics 2009-11-24 Zhichao Ruan , Shanhui Fan

When a plane electromagnetic wave impinges upon a diffraction grating or other periodic structures, reflected and transmitted waves propagate away from the structure in different radiation channels. A diffraction anomaly occurs when the…

Computational Physics · Physics 2022-10-05 Zitao Mai , Ya Yan Lu

The Fano resonance of a single symmetry broken Ag nanodisk under a normal incidence was investigated by using finite-difference time-domain (FDTD) simulations. The asymmetry line shape of the Fano resonance was controlled by modifying the…

Mesoscale and Nanoscale Physics · Physics 2011-05-10 Zheyu Fang , Junyi Cai , Zhongbo Yan , Nathaniel K. Grady , Xing Zhu

By breaking the symmetrical arrangement of double micro-ring resonator, the formation mechanism and performance of reflection and transmission spectrum and optical field distribution are investigated. The reflection spectrum is Fano shape.…

Optics · Physics 2024-07-31 Chaoying Zhao

We consider nonlinear spectroscopic effects - interaction-enhanced double resonance and spectrum instability - that appear in ultracold quantum gases owing to collisional frequency shift of atomic transitions and, consequently, due to the…

Quantum Gases · Physics 2015-06-12 Alexander Safonov , Irina Safonova , Igor Yasnikov

We explore the electron dynamics of a system composed of double quantum dot embedded between metallic and superconducting leads in a T-shape geometry. In nanoscopic systems, where electron transfer between electrodes can be realized via…

Mesoscale and Nanoscale Physics · Physics 2023-07-25 Jan Baranski , Magdalena Baranska , Tomasz Zienkiewicz , Konrad J. Kapcia

Compared to purely atomic collisions, ultracold molecular collisions potentially support a much larger number of Fano-Feshbach resonances due to the enormous number of ro-vibrational states available. In fact, for alkali-metal dimers we…

Atomic Physics · Physics 2012-10-19 Michael Mayle , Goulven Quéméner , Brandon P. Ruzic , John L. Bohn

Nonlinear damping, the change in damping rate with the amplitude of oscillations plays an important role in many electrical, mechanical and even biological oscillators. In novel technologies such as carbon nanotubes, graphene membranes or…

$\mathcal{N}$ emitters collectively coupled to a quantised cavity mode are described by the Tavis-Cummings model. We present complete analytical solution of the model in the presence of inhomogeneous couplings and energetic disorder. We…

Quantum Gases · Physics 2022-12-29 M. Ahsan Zeb