Unidirectional transport of wave packets through tilted discrete breathers in nonlinear lattices with asymmetric defects

Bai, Xiaodong; Malomed, Boris A.; Deng, Fu‐Guo

doi:10.1103/physreve.94.032216

Cited by 14 publications

(9 citation statements)

References 104 publications

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“…This cubic-quintic DNLS model has been studied for mobility regimes of solitons in 1D lattices [26] and in 2D lattices [27]. DNLS models have also been used to study various related phenomenon [28][29][30].…”

Section: Introductionmentioning

confidence: 99%

Asymmetric wave transmission through one dimensional lattices with cubic-quintic nonlinearity

Wasay

2018

Sci Rep

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One dimensional lattice with an on-site cubic-quintic nonlinear response described by a cubic-quintic discrete nonlinear Schrödinger equation is tested for asymmetric wave propagation. The lattice is connected to linear side chains. Asymmetry is introduced by breaking the mirror symmetry of the lattice with respect to the center of the nonlinear region. Three cases corresponding to dimer, trimer and quadrimer are discussed with focus on the corresponding diode-like effect. Transmission coefficients are analytically calculated for left and right moving waves via backward transfer map. The different transmission coefficients for the left and right moving waves impinging the lattice give rise to a diode-like effect which is tested for different variations in asymmetry and site dependent coefficients. We show that there is a higher transmission for incoming waves with lower wavenumbers as compared to the waves with comparatively larger wavenumbers and a diode-like effect improves by increasing the nonlinear layers. We also show that in the context of transport through such lattices, the cooperation between cubic and quintic nonlinear response is not “additive”. Finally, we numerically analyse Gaussian wave packet dynamics impinging on the CQDNLS lattice for all three cases.

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Section: Introductionmentioning

confidence: 99%

Asymmetric wave transmission through one dimensional lattices with cubic-quintic nonlinearity

Wasay

2018

Sci Rep

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“…Here, we will discuss the spin-nonreciprocal/spin-reciprocal transport, which, differently from the conventional nonreciprocal/reciprocal transport describing spatial unidirectional 25,60 /isotropic transport, means that the transport properties are dependent on/independent of the spin orientation of incident waves. We have stated that the transmission modes and have different spin orientations, i.e., s +, n and s −, n with s +, n ≡ − s −, n [see Fig.…”

Section: Transport Propertiesmentioning

confidence: 99%

“…Besides, the discrete breather, resulted from nonlinear lattices, can be partially transmitted, and shifted by a moving breather 23 . Furthermore, when asymmetric defects are immersed in the nonlinear lattices, the discrete breather will be tilted, capably inducing the unidirectional transport of wave packets 25 . In spinor Bose-Einstein condensate (BEC), however, the interaction can be spin-dependent which induces the non-Abelian Josephson effect 26 .…”

Section: Introductionmentioning

confidence: 99%

Tunable spinful matter wave valve

Zhao

Zhuang

et al. 2019

Sci Rep

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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 particular site, and the spin-orbit coupling arouse spatial rotation of the spin texture. We find that tuning the spin orientation of the localized Bose-Einstein condensate can lead to spin-nonreciprocal/spin-reciprocal transport, meaning the transport properties are dependent on/independent of the spin orientation of incident waves. In the former case, we obtain the conditions to achieve transparency, beam-splitting, and blockade of the incident wave with a given spin orientation, and furthermore the ones to perfectly isolate incident waves of different spin orientation, while in the latter, we obtain the condition to maximize the conversion of different spin states. The result may be useful to develop a novel spinful matter wave valve that integrates spin switcher, beam-splitter, isolator, and converter. The method can also be applied to other real systems, e.g., realizing perfect isolation of spin states in magnetism, which is otherwise rather difficult.

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“…This analysis identified the existence of substantial parameter range over which one component undergoes full transmission through the barrier, while the other one undergoes full reflection [59]. Additionally, the diode functionality has also been realized through diverse nonlinear discrete lattices, such as a layered nonlinear, non-mirrorsymmetric model [60], two parallel-coupled discrete nonlinear Schrödinger inhomogeneous chains [61], and nonlinear lattice with asymmetric defects [62]. Further numerical and analytical investigations reported the significance of the scattering of solitons as well as plane waves through the localized nonlinear potentials to account for the best operational regimes of the interferometer [63].…”

Section: Introductionmentioning

confidence: 99%

Unidirectional flow of composite bright-bright solitons through asymmetric double potential barriers and wells

Javed,

Uthayakumar,

Alotaibi

et al. 2021

Preprint

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We investigate the dynamics of two component bright-bright (BB) solitons through reflectionless double barrier and double well potentials in the framework of a Manakov system governed by the coupled nonlinear Schrödinger equations. The objective is to achieve unidirectional flow and unidirectional segregation/splitting, which may be used in the design of optical data processing devices. We observe how the propagation of composite BB soliton is affected by the presence of interaction coupling between the two components passing through the asymmetric potentials. We consider Gaussian and Rosen-Morse double potential barriers in order to achieve the unidirectional flow. Moreover, we observe a novel phenomenon which we name "Polarity Reversal " in the unidirectional flow. In this situation, the polarity of the diode is reversed. To understand the physics underlying these phenomena, we perform a variational calculation where we also achieve unidirectional segregation/splitting using an asymmetric double square potential well. Our comparative study between analytical and numerical analysis lead to an excellent agreement between the two methods.

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Unidirectional transport of wave packets through tilted discrete breathers in nonlinear lattices with asymmetric defects

Cited by 14 publications

References 104 publications

Asymmetric wave transmission through one dimensional lattices with cubic-quintic nonlinearity

Asymmetric wave transmission through one dimensional lattices with cubic-quintic nonlinearity

Tunable spinful matter wave valve

Unidirectional flow of composite bright-bright solitons through asymmetric double potential barriers and wells

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