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We review recent progress in the dynamics of nonlinear lattice waves in heterogeneous media, which enforce complete wave localization in the linear wave equation limit, especially Anderson localization for random potentials, and Aubry-Andre…

Disordered Systems and Neural Networks · Physics 2015-06-22 T. V. Laptyeva , M. V. Ivanchenko , S. Flach

For an isotropic and homogeneous nonlinear left-handed materials, for which the effective medium approximation is valid, Maxwell's equations for electric and magnetic fields lead naturally, within the slowly varying envelope approximation,…

Pattern Formation and Solitons · Physics 2010-03-09 N. Lazarides , G. P. Tsironis

We study the dynamics of one electron wave packet in a chain with a non-adiabatic electron-phonon interaction. The electron-phonon coupling is taken into account in the time-dependent Schr\"odinger equation by a delayed cubic nonlinearity.…

Other Condensed Matter · Physics 2015-05-13 F. A. B. F. de Moura , Iram Gleria , I. F. dos Santos , M. L. Lyra

We calculate the dispersion relations of plasmonic waves propagating along a chain of semiconducting or metallic nanoparticles in the presence of both a static magnetic field ${\bf B}$ and a liquid crystalline host. The dispersion relations…

Mesoscale and Nanoscale Physics · Physics 2016-03-17 Nicholas A. Pike , David Stroud

By coupling two nonlinear one dimensional lattices, we demonstrate a thermal diode model that works in a wide range of system parameters. We provide numerical and analytical evidence for the underlying mechanism which allows heat flux in…

Disordered Systems and Neural Networks · Physics 2009-11-10 Baowen Li , Lei Wang , Giulio Casati

The special symmetry properties of the discrete nonlinear Schrodinger equation allow a complete revival of the initial wavefunction. That is employed in the context of stationary propagation of light in a waveguide array. As an inverting…

Optics · Physics 2015-06-12 Ramaz Khomeriki , Lasha Tkeshelashvili

Atomic wave packets in optical lattices which are both spatially finite and time-dependent exhibit many striking similarities with light pulses in photonic crystals. We analytically characterize the transmission properties of such a…

Quantum Physics · Physics 2015-03-17 T Lauber , P Massignan , G Birkl , A Sanpera

We systematically study linear and nonlinear wave propagation in a chain composed of piecewise-linear bistable springs. Such bistable systems are ideal testbeds for supporting nonlinear wave dynamical features including transition and…

Pattern Formation and Solitons · Physics 2021-12-01 Hiromi Yasuda , Efstathios G. Charalampidis , Prashant K. Purohit , Panayotis G. Kevrekidis , Jordan R. Raney

We report electronic transmission properties of a tight binding Aharonov-Bohm ring threaded by a magnetic flux, to one arm of which a finite cluster of atoms has been attached from one side. we demonstrate that, by suitably choosing the…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Supriya Jana , Arunava Chakrabarti

The Schrodinger motion of a charged quantum particle in an electromagnetic potential can be simulated by the paraxial dynamics of photons propagating through a spatially inhomogeneous medium. The inhomogeneity induces geometric effects that…

Quantum Physics · Physics 2009-12-29 K. -P. Marzlin , Juergen Appel , A. I. Lvovsky

By using a small rotation approach, we show that it is possible to obtain well behaved perturbed solutions for the amplitude of the electromagnetic field propagating in a photonic waveguide array. This array mimics the propagation of a…

Quantum Physics · Physics 2013-03-15 Francisco Soto-Eguibar , Héctor Manuel Moya-Cessa

Of particular interest for radio and hard X-ray diagnostics of accelerated electrons during solar flares is the understanding of the basic non-linear mechanisms regulating the relaxation of electron beams propagating in turbulent plasmas.…

Space Physics · Physics 2015-03-06 Nicolas H. Bian , Eduard P. Kontar , Heather Ratcliffe

A resonant two level atom doped in one dimensional waveguide behaves as a mirror, but this single-atom "mirror" can only reflect single photon perfectly at a specific frequency. For a one dimensional coupled-resonator waveguide, we propose…

Quantum Physics · Physics 2015-03-17 Yue Chang , Z. R. Gong , C. P. Sun

Using a geometric approach for the propagation of light in anisotropic media, we investigate what effect the director field of disclinations may have on the polarization state of light. Parallel transport around the defect, of the spinor…

Soft Condensed Matter · Physics 2007-10-24 A. M. de M. Carvalho , C. Satiro , F. Moraes

Laguerre-Gaussian (LG) wave packets, known for their vortex structure and nonzero orbital angular momentum (OAM), are of great interest in various scientific fields. Here we study the nonrelativistic dynamics of a spatially-localized…

Quantum Physics · Physics 2026-01-21 A. Kudlis , I. A. Aleksandrov , N. N. Rosanov

We study an ensemble of random waves subject to the Aharonov-Bohm effect. The introduction of a point with a magnetic flux of arbitrary strength into a random wave ensemble gives a family of wavefunctions whose distribution of vortices…

Quantum Physics · Physics 2017-05-01 Alexander J H Houston , Martin Gradhand , Mark R Dennis

We study existence, stability, and dynamics of linear and nonlinear stationary modes propagating in radially symmetric multi-core waveguides with balanced gain and loss. We demonstrate that, in general, the system can be reduced to an…

We study the single particle scattering process in a coherent multi-site system consisting of a tight-binding ring threaded by an Aharonov-Bohm flux and several attaching leads. The asymmetric behavior of scattering matrix is discovered…

Quantum Physics · Physics 2009-12-03 S. Yang , Z. Song , C. P. Sun

The Aharonov-Bohm scattering of charged particles by the magnetic field of an infinitely long and infinitely thin solenoid (magnetic string) in an absorbing medium is studied. We discuss the partial-wave approach to this problem and show…

Quantum Physics · Physics 2009-10-31 Juergen Audretsch , Vladimir Skarzhinsky

Asymmetric heat transfer systems, often referred to as thermal diodes or thermal rectifiers, have garnered increasing interest due to their wide range of application possibilities. Most of those previous macroscopic thermal diodes either…

Applied Physics · Physics 2022-09-09 Yishu Su , Ying Li , Minghong Qi , Sebastien Guenneau , Huagen Li , Jian Xiong
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