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We study the scattering of photons from periodically modulated quantum-optical systems. For excitation-number conserving quantum optical systems, we connect the analytic structure of the frequency-domain N-photon scattering matrix of the…

Quantum Physics · Physics 2020-09-16 Rahul Trivedi , Alex White , Shanhui Fan , Jelena Vuckovic

We present a discrete model of resonant scattering of waves by an open periodic waveguide. The model elucidates a phenomenon common in electromagnetics, in which the interaction of plane waves with embedded guided modes of the waveguide…

Mathematical Physics · Physics 2011-01-04 Natalia Ptitsyna , Stephen P. Shipman

The light propagating in a waveguide array or photonic lattice has become an ideal platform to control light and to mimic quantum behaviors in a classical system. We here investigate the propagation of light in a coupled waveguide array…

Quantum Physics · Physics 2018-02-06 Chao Ma , Yuan-Sheng Wang , Jun-Hong An

Amplitude modulation of a tilted optical lattice can be used to steer the quantum transport of matter wave packets in a very flexible way. This allows the experimental study of the phase sensitivity in a multimode interferometer based on…

Atomic Physics · Physics 2013-03-15 Marco G. Tarallo , Nicola Poli , F. Y. Wang , Guglielmo M. Tino

We demonstrate the control of the dispersion of matter wave packets utilizing periodic potentials. This is analogous to the technique of dispersion management known in photon optics. Matter wave packets are realized by Bose-Einstein…

Condensed Matter · Physics 2009-11-10 B. Eiermann , P. Treutlein , Th. Anker , M. Albiez , M. Taglieber , K. -P. Marzlin , M. K. Oberthaler

Recently, light-matter interaction has been vastly expanded as a control tool for inducing and enhancing many emergent non-equilibrium phenomena. However, conventional schemes for exploring such light-induced phenomena rely on uniform and…

We study radiation-matter interaction in a system of ultracold atoms trapped in an optical lattice in a Mott insulator phase. We develop a fully general quantum model, and we perform calculations for a one-dimensional geometry at normal…

Optics · Physics 2009-11-13 Francesco Bariani , Iacopo Carusotto

A growing acceptance of fiber reinforced composite materials imparts some relevance to exploring the effects which a predominantly linear scattering lattice may have upon interior radiant transport. Indeed, a central feature of…

Classical Analysis and ODEs · Mathematics 2018-02-27 J. A. Grzesik

A lattice-induced opacity is identified in the scattering process of a normally-incident matter wave from a two dimensional lattice of atoms. This system can be treated as an analogue of a confinement induced resonance. Specifically by…

Atomic Physics · Physics 2013-12-24 Chen Zhang , Chris H. Greene

Scattering of electronic waves in square and triangular lattice half-planes by a step on the surface is analyzed using the nearest-neighbour tight binding approximation. The changes in lattice spacing and the transfer integral between…

Mesoscale and Nanoscale Physics · Physics 2019-09-04 Basant Lal Sharma

We investigate experimentally a Bose Einstein condensate placed in a 1D optical lattice whose phase is modulated at a frequency large compared to all characteristic frequencies. As a result, the depth of the periodic potential is…

Quantum Gases · Physics 2018-04-09 C. Cabrera-Gutiérrez , A. Fortun , E. Michon , V. Brunaud , M. Arnal , J. Billy , D. Guéry-Odelin

Time modulation of the physical parameters offers interesting new possibilities for wave control. Examples include amplification of waves, harmonic generation and non-reciprocity, without resorting to non-linear mechanisms. Most of the…

Mathematical Physics · Physics 2025-07-25 Michaël Darche , Raphaël Assier , Sébastien Guenneau , Bruno Lombard , Marie Touboul

The basic purpose of this work is to demonstrate, by quite simple and explicit calculation, the possibility that a simple laminate composed of ordinary materials can display the kind of response associated with a "metamaterial".…

Materials Science · Physics 2013-10-25 John Willis

We present a numerical study of dispersion manipulation and formation of matter-wave gap solitons in a Bose-Einstein condensate trapped in an optical superlattice. We demonstrate a method for controlled generation of matter-wave gap…

Other Condensed Matter · Physics 2009-11-10 Pearl J. Y. Louis , Elena A. Ostrovskaya , Yuri S. Kivshar

We analyze wave propagation in coupled planar waveguides, pointing specific attention to modal cross-talk and out-of-plane scattering in quasi-planar photonics. An algorithm capable of accurate numerical computation of wave coupling in…

Optics · Physics 2015-05-13 Sukosin Thongrattanasiri , Justin Elser , Viktor A. Podolskiy

The paper presents the study of waves in a structured geometrically chiral solid. A special attention is given to the analysis of the Bloch-Floquet waves in a doubly periodic high-contrast lattice containing tilted resonators. Dirac-like…

Materials Science · Physics 2018-09-18 Domenico Tallarico , Alessio Trevisan , Natalia V. Movchan , Alexander B. Movchan

We provide a theoretical framework to mold time-modulated lattices with frequency conversion and wave-steering capabilities. We initially focus on 1D lattices, whereby a sufficiently slow time-modulation of the stiffness is employed to…

Applied Physics · Physics 2023-02-15 Jonatha Santini , Emanuele Riva

We develop a Floquet scattering formalism for the description of quasistationary states of microwave photons in a one-dimensional waveguide interacting with a nonlinear cavity by means of a periodically modulated coupling. This model is…

Quantum Physics · Physics 2017-05-16 Mikhail Pletyukhov , Kim G. L. Pedersen , Vladimir Gritsev

We study the low-energy two-body scattering in optical lattices with all higher-band effects included in an effective potential, using a renormalization group approach. As the potential depth reaches a certain value, a resonance of low…

Quantum Gases · Physics 2010-04-22 Xiaoling Cui , Yupeng Wang , Fei Zhou

We investigate light propagation through materials with periodically modulated gain/loss profile in both transverse and longitudinal directions, i.e. in material with two-dimensional modulation in space. We predict effects of…

Optics · Physics 2008-11-27 K. Staliunas , R. Herrero , R. Vilaseca