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We investigate bright matter-wave solitons in the presence of a spatially varying scattering length. It is demonstrated that, even in the absence of any external trapping potential, a soliton can be confined due to the inhomogeneous…

Soft Condensed Matter · Physics 2009-11-11 G. Theocharis , P. Schmelcher , P. G. Kevrekidis , D. J. Frantzeskakis

In molecular collisions, resonances occur at specific energies where the colliding particles temporarily form quasi-bound complexes, resulting in rapid variations in the energy dependence of scattering cross sections. Experimentally, it has…

We study the effect of surface scattering on transport properties in many-mode conducting channels (electron waveguides). Assuming a strong roughness of the surface profiles, we show that there are two independent control parameters that…

Disordered Systems and Neural Networks · Physics 2009-11-10 F. M. Izrailev , N. M. Makarov , M. Rendon

We study two body dipolar scattering in two dimensions with a tilted polarization axis. This tilt reintroduces the anisotropic interaction in a controllable manner. As a function of this polarization angle we present the scattering results…

Atomic Physics · Physics 2011-10-20 Christopher Ticknor

Oscillating sharp edges have been employed to achieve rapid and homogeneous mixing in microchannels using acoustic streaming. Here we use a perturbation approach to study the flow around oscillating sharp edges in a microchannel. This work…

Fluid Dynamics · Physics 2014-02-19 Nitesh Nama , Po-Hsun Huang , Tony Jun Huang , Francesco Costanzo

In this paper, we present a mathematical study of wave scattering by a hard elastic obstacle embedded in a soft elastic body in three dimensions. Our contributions are threefold. First, we characterize subwavelength resonances using the…

Analysis of PDEs · Mathematics 2025-01-14 Bochao Chen , Yixian Gao , Peijun Li , Yuanchun Ren

We consider the time-harmonic acoustic wave scattering by a bounded {\it anisotropic inhomogeneity} embedded in an unbounded {\it anisotropic} homogeneous medium. The material parameters may have discontinuities across the interface between…

Analysis of PDEs · Mathematics 2018-12-26 Otar Chkadua , Sergey E. Mikhailov , David Natroshvili

The boundaries of waveguides and nanowires have drastic influence on their coherent scattering properties. Designing the boundary profile is thus a promising approach for transmission and band-gap engineering with many applications. By…

Mesoscale and Nanoscale Physics · Physics 2012-12-04 O. Dietz , H. -J. Stöckmann , U. Kuhl , F. M. Izrailev , N. M. Makarov , J. Doppler , F. Libisch , S. Rotter

In this paper we survey some recent results concerning scattering and non-scattering in the context of the linear Helmholtz equation and inhomogeneities of nontrivial contrast. We examine isotropic as well as anisotropic media. Part of the…

Analysis of PDEs · Mathematics 2026-02-09 Fioralba Cakoni , Michael S. Vogelius

We study the resonant effects produced when a Feshbach dimer crosses a scattering continuum band of atoms in an optical lattice. We numerically obtain the exact spectrum of two particles in a one-dimensional lattice and develop an effective…

Quantum Gases · Physics 2011-06-08 Javier von Stecher , Victor Gurarie , Leo Radzihovsky , Ana Maria Rey

We investigate confinement-induced resonances in atom-ion quantum mixtures confined in hybrid traps. Specifically, we consider an ion confined in a time-dependent radio-frequency Paul trap with linear geometry, while the atom is constrained…

Atomic Physics · Physics 2019-12-11 Vladimir S. Melezhik , Zbigniew Idziaszek , Antonio Negretti

We demonstrate that scattering of particles strongly interacting in three dimensions (3D) can be suppressed at low energies in a quasi-one-dimensional (1D) confinement. The underlying mechanism is the interference of the s- and p-wave…

Quantum Physics · Physics 2009-11-13 J. I. Kim , V. S. Melezhik , P. Schmelcher

We have studied spin carrier dynamics under full spin-orbit coupling. The anisotropy of dispersions for independent circular spinor polarizations is explored as a possible vertical multichannel voltage controlled spin-filter. Small voltage…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 G. E. Marques , A. C. R. Bittencourt , C. F. Destefani , Sergio E. Ulloa

We demonstrate in microwave measurements the broadband enhancement of transmission through an opaque barrier due to mirror symmetry. This enhancement relies on constructive interference between mirror scattering paths resulting from strong…

Disordered Systems and Neural Networks · Physics 2021-11-16 Matthieu Davy , Clément Ferise , Elie Chéron , Simon Félix , Vincent Pagneux

The need of mathematically formulate relations between composite materials' properties and its resonance response is growing. This is due the fast technological advancement in micro-material manufacturing, present in chips for instance. In…

Mathematical Physics · Physics 2022-05-03 Taoufik Meklachi

A consistent calculation of resonant inelastic (Raman) scattering amplitudes for relatively large quantum dots, which takes account of valence-band mixing, discrete character of the spectrum in intermediate and final states, and…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Alain Delgado , Augusto Gonzalez

Interatomic potentials beyond quadratic order provide scattering sources for phonon transport in lattice. By using a weakly-interacting interface model, we investigated the relation between the order of interatomic potential and the…

Materials Science · Physics 2022-02-23 Hangbo Zhou , Gang Zhang , Yong-Wei Zhang

A theoretical model is presented describing the confinement-induced resonances observed in the recent loss experiment of Haller et al. [Phys. Rev. Lett. 104, 153203 (2010)]. These resonances originate from possible molecule formation due to…

Atomic Physics · Physics 2013-05-30 Simon Sala , Philipp-Immanuel Schneider , Alejandro Saenz

From the measurement of a reflection spectrum of an open microwave cavity the poles of the scattering matrix in the complex plane have been determined. The resonances have been extracted by means of the harmonic inversion method. By this it…

Other Condensed Matter · Physics 2010-06-07 U. Kuhl , R. Hoehmann , J. Main , H. -J. Stoeckmann

We show that asymmetric transmission for linear polarizations can be easily achieved by a monolayer of anisotropic chiral metamolecules through the constructive and destructive interferences between the contributions from anisotropy and…

Optics · Physics 2015-06-15 Shuang Zhang , Fu Liu , Thomas Zentgraf , Jensen Li