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We study the stability of a stationary discrete breather (DB) on a nonlinear trimer in the framework of the discrete nonlinear Schr\"odinger equation (DNLS). In previous theoretical investigations of the dynamics of Bose-Einstein…

Quantum Gases · Physics 2013-05-29 Holger Hennig , Jérôme Dorignac , David K. Campbell

Using matter waves that are trapped in a deep optical lattice, dissipationless directed transport is demonstrated to occur if the single-band quantum dynamics is periodically tilted on one half of the lattice by a monochromatic field. Most…

Other Condensed Matter · Physics 2009-11-13 Jiangbin Gong , Dario Poletti , Peter Hanggi

We consider asymmetric (nonreciprocal) wave transmission through a layered nonlinear, non mirror-symmetric system described by the one-dimensional Discrete Nonlinear Schr\"odinger equation with spatially varying coefficients embedded in an…

Pattern Formation and Solitons · Physics 2013-11-12 Stefano Lepri , Giulio Casati

We investigate elastic-wave propagation in a spatially-dispersive multilayered, totally passive metamaterial system. At oblique incidence a longitudinal (acoustic) wave can convert to transverse in the solid material comprising the layers,…

Applied Physics · Physics 2019-05-23 D. Psiachos , M. M. Sigalas

We present a theoretical study of linear wave scattering in one-dimensional nonlinear lattices by intrinsic spatially localized dynamic excitations or discrete breathers. These states appear in various nonlinear systems and present a…

Condensed Matter · Physics 2009-11-07 S. Flach , A. E. Miroshnichenko , M. V. Fistul

We investigate experimentally and theoretically the nonlinear propagation of 87Rb Bose Einstein condensates in a trap with cylindrical symmetry. An additional weak periodic potential which encloses an angle with the symmetry axis of the…

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

Locally broken symmetries are used across fields to transport matter, particles and information in preferential directions. Beyond local mechanisms, spatially distributed nonlinearities in crystalline media have enabled non-reciprocal…

Soft Condensed Matter · Physics 2026-03-31 Aaron Winn , Justine Parmentier , Eleni Katifori , Martin Brandenbourger

In the work of Colliander et al. (2010), a minimal lattice model was constructed describing the transfer of energy to high frequencies in the defocusing nonlinear Schr\"odinger equation. In the present work, we present a systematic study of…

Pattern Formation and Solitons · Physics 2024-07-25 Ross Parker , Pierre Germain , Jesús Cuevas-Maraver , Alejandro Aceves , P. G. Kevrekidis

We study the unidirectional transport of two-particle quantum wavepackets in a regular one-dimensional lattice. We show that the bound-pair state component behaves differently from unbound states when subjected to an external pulsed…

Quantum Physics · Physics 2017-08-22 A. R. C. Buarque , W. S. Dias

Unidirectional and robust transport is generally observed at the edge of two- or three-dimensional quantum Hall and topological insulator systems. A hallmark of these systems is topological protection, i.e. the existence of propagative edge…

Mesoscale and Nanoscale Physics · Physics 2016-01-15 Stefano Longhi , Davide Gatti , Giuseppe Della Valle

Two-dimensional regular arrays of atoms are a promising platform for quantum networks, with collective subradiant states providing long-lived storage and collimated emission allowing for natural coherent links between arrays in free space.…

Atomic Physics · Physics 2022-09-13 K. E. Ballantine , J. Ruostekoski

Recent interest in metamaterials has led to a renewed study of wave mechanics in different branches of physics. Elastodynamics involves a special intricacy, owing to a coupling between the volumetric and shear parts of the elastic waves.…

Applied Physics · Physics 2019-10-03 Ben Lustig , Guy Elbaz , Alan Muhafra , Gal Shmuel

In the present paper, we consider nonlinear PT-symmetric dimers and trimers (more generally, oligomers) embedded within a linear Schr{\"o}dinger lattice. We examine the stationary states of such chains in the form of plane waves, and…

Pattern Formation and Solitons · Physics 2015-06-04 J. D'Ambroise , P. G. Kevrekidis , S. Lepri

We investigate the transport problem that a spinful matter wave is incident on a strong localized spin-orbit-coupled Bose-Einstein condensate in optical lattices, where the localization is admitted by atom interaction only existing at one…

Quantum Physics · Physics 2018-05-22 Yan-Jun Zhao , Dongyang Yu , Lin Zhuang , Wu-Ming Liu

We report a new result concerning the dynamics of an initially localized wave packet in quantum nonlinear Schr\"odinger lattices with a disordered potential. A class of nonlinear lattices with subquadratic power nonlinearity is considered.…

Statistical Mechanics · Physics 2019-06-26 Alexander V. Milovanov , Alexander Iomin

We report on the realization of dynamical control of transport for ultra-cold Sr88 atoms loaded in an accelerated and amplitude-modulated 1D optical lattice. We tailor the energy dispersion of traveling wave packets and reversibly switch…

Quantum Physics · Physics 2010-09-14 A. Alberti , G. Ferrari , V. V. Ivanov , M. L. Chiofalo , G. M. Tino

Unidirectional reflectionless propagation (or transmission) is an interesting wave phenomenon observed in many $\mathcal{PT}$-symmetric optical structures. Theoretical studies on unidirectional reflectionless transmission often use simple…

Optics · Physics 2019-11-13 Lijun Yuan , Ya Yan Lu

We study the dynamics of solitary waves traveling in a one-dimensional chain of bistable elements in the presence of a local inhomogeneity (defect). Numerical simulations reveal that depending upon its initial speed, an incoming solitary…

Chaotic Dynamics · Physics 2022-11-23 Mohammed A. Mohammed , Piyush Grover

One dimensional lattice with an on-site cubic-quintic nonlinear response described by a cubic-quintic discrete nonlinear Schr\"odinger equation is tested for asymmetric wave propagation. The lattice is connected to linear side chains.…

Pattern Formation and Solitons · Physics 2018-10-02 Muhammad Abdul Wasay

In the present paper we consider nonlinear dimers and trimers (more generally, oligomers) embedded within a linear Schr{\"o}dinger lattice where the nonlinear sites are of saturable type. We examine the stationary states of such chains in…

Pattern Formation and Solitons · Physics 2014-12-17 Daniel Law , Jennie D'Ambroise , Panayotis G. Kevrekidis , Detlef Kip
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