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We study resonant light scattering in arrays of channel optical waveguides where tunable quadratic nonlinearity is introduced as nonlinear defects by periodic poling of single (or several) waveguides in the array. We describe novel features…

Pattern Formation and Solitons · Physics 2009-11-10 A. E. Miroshnichenko , Y. S. Kivshar , R. A. Vicencio , M. I. Molina

We discuss the scattering of a quantum particle by two independent successive point interactions in one dimension. The parameter space for two point interactions is given by $U(2)\times U(2)$, which is described by eight real parameters. We…

Quantum Physics · Physics 2017-09-21 Kohkichi Konno , Tomoaki Nagasawa , Rohta Takahashi

The conductance of a tunnel point-contact in an STM-like geometry having a single defect placed below the surface is investigated theoretically. The effect of multiple electron scattering by the defect after reflections by the metal surface…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Ye. S. Avotina , Yu. A. Kolesnichenko , J. M. van Ruitenbeek

We develop a new approach to carrier transport between the edge states via resonant scattering on impurities, which is applicable both for short and long range impurities. A detailed analysis of resonant scattering on a single impurity is…

Condensed Matter · Physics 2009-10-22 S. A. Gurvitz

We develop and implement a new mathematical and computational framework for designing photonic elements with one or more high-$Q$ scattering resonances. The approach relies on solving for the poles of the scattering matrix, which…

Optics · Physics 2020-02-19 Brian A. Slovick , Erik Matlin

We study the ballistic magnetotransport in a double quantum point contact (QPC) device consisting of a quasi-one-dimensional quantum wire with an embedded island-like impurity - etched nano-hole as in a recently published experiment [J. C.…

Mesoscale and Nanoscale Physics · Physics 2011-05-05 Rubén C. Villarreal , Francisco Mireles , Ernesto E. Marinero , Bruce A. Gurney

We present a tunable microwave scattering device that allows the controlled variation of Fano line shape parameters in transmission through quantum billiards. Transport in this device is nearly fully coherent. By comparison with quantum…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 S. Rotter , F. Libisch , J. Burgdörfer , U. Kuhl , H. -J. Stöckmann

Within the two-orbital model for BiS$_{2}$-based superconductors, the effect from a single nonmagnetic impurity scattering on the superconducting-state is investigated in terms of the T-matrix approach. By considering three kinds of the…

Superconductivity · Physics 2014-08-08 Bin Liu , Shiping Feng

Non-zero curvature in a waveguide leads to the appearance of an attractive quantum potential which crucially affects the dynamics in matter-wave circuits. Using methods of supersymmetric quantum mechanics, pairs of bent waveguides are found…

Quantum Physics · Physics 2014-06-16 Adolfo del Campo , Malcolm G. Boshier , Avadh Saxena

Single particle resonances in quantum wires are generally Fano resonances. In case of Fano resonances, the scattering phase shift in some channels show sharp phase drops and that in the other channels do not. Phase shift in a particular…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 P. Singha Deo

We study the two-dimensional extension of the Fano-Anderson model on the basis of a two-dimensional optical waveguide array with a bi-modal defect. We demonstrate numerically the persistence of the Fano resonance in wavepacket scattering…

Pattern Formation and Solitons · Physics 2009-11-11 Rodrigo A. Vicencio , Andrey V. Gorbach , Sergej Flach

The effect of asymmetric functionally graded material on the edge resonance and the Fano resonance in semi-infinite FGM plates are reported in this work. The edge resonance is weakened by the material perturbation and the complete mode…

Classical Physics · Physics 2021-06-02 Shengyu Tang , Wenping Bi , Jingwei Yin , Vincent Pagneux

The conductance of a waveguide containing finite number of periodically placed identical point-like impurities is investigated. It has been calculated as a function of both the impurity strength and the number of impurities using the…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 J. Cserti , G. Szálka , G. Vattay

Bound states and scattering resonances in the unoccupied continuum of a two-dimensional crystal predicted in [Phys$.$Rev$.$ B 87, 041405(R) (2013)] are considered within an exactly solvable model. A close connection of the observed…

Mesoscale and Nanoscale Physics · Physics 2025-02-21 R. O. Kuzian , D. V. Efremov , E. E. Krasovskii

We investigate a time-harmonic wave problem in a waveguide. We work at low frequency so that only one mode can propagate. It is known that the scattering matrix exhibits a rapid variation for real frequencies in a vicinity of a complex…

Analysis of PDEs · Mathematics 2020-05-20 Lucas Chesnel , Sergei A. Nazarov

The low energy band structure of the FeAs based superconductors is fitted by a tight binding model with two Fe ions per unit cell and two degenerate orbitals per Fe ion. Based on this, superconductivity with extended s-wave pairing symmetry…

Superconductivity · Physics 2013-05-29 Degang Zhang

We present a quantum-field-theoretical framework based on path integrals and Feynman diagrams for the investigation of the quantum-optical properties of one-dimensional waveguiding structures with embedded quantum impurities. In particular,…

We analyze the influence of a local pairing on the quantum interference in nanoscopic systems. As a model system we choose the double quantum dot coupled to one metallic and one superconducting electrode in the T-shape geometry. The…

Mesoscale and Nanoscale Physics · Physics 2020-04-10 Jan Barański , Tomasz Zienkiewicz , Magdalena Barańska , Konrad Jerzy Kapcia

The characteristics of an acoustic scatterer are often described by scattering coefficients. The understanding of the mechanisms involved in the frequency dependent features of the coefficients has been a challenge task, owing to the…

Classical Physics · Physics 2016-11-08 Yuhui Tong , Jie Pan

We investigate the Fano resonance in grating structures by using coupled resonators. The grating consists of a perfectly conducting slab with periodically arranged subwavelength slit holes, where inside each period, a pair of slits sit very…

Analysis of PDEs · Mathematics 2020-06-30 Junshan Lin , Hai Zhang