Coupled Band Gap Solitons in One-Dimensional Alternating Heisenberg Ferromagnetic Chains

By developing a multiple-scale method, we study analytically the dynamics of the soliton inside the semi-infinite band gap (SIBG) of quasi-one-dimensional Bose–Einstein condensates trapped in an optical lattice. In the linear case, a stable condition of soliton formation is obtained. For a weak nonlinearity, whether there occurs a spatially propagating or localized gap soliton is determined by the lattice depth. Meanwhile, we predict the existence of the dark (bright) gap solitons for the repulsive (attractive) interactions in the SIBG, different from that of the gap solitons in other energy gaps. And the collision of two dark (or bright) solitons is nearly elastic under a safe range of atomic numbers. An experimental protocol is further designed for observing these phenomena.

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Gap solitons and transmissivity of one-dimensional asymmetric systems

Physical Review B ◽

10.1103/physrevb.47.5748 ◽

1993 ◽

Vol 47 (10) ◽

pp. 5748-5755 ◽

Cited By ~ 7

Author(s):

J. M. Bilbault ◽

C. Tatuam Kamga ◽

M. Remoissenet

Keyword(s):

One Dimensional ◽

Gap Solitons

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Omnidirectional terahertz photonic band gap broaden effect in one-dimensional photonic crystal containing few-layer graphene

Optics Communications ◽

10.1016/j.optcom.2021.126898 ◽

2021 ◽

Vol 490 ◽

pp. 126898

Author(s):

Feng Wu ◽

Mingyuan Chen ◽

Zhanxu Chen ◽

Chengping Yin

Keyword(s):

Photonic Crystal ◽

Band Gap ◽

Photonic Band Gap ◽

One Dimensional ◽

Dimensional Photonic Crystal ◽

Layer Graphene ◽

Few Layer Graphene ◽

Photonic Band

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Dark matter-wave gap solitons in dense ultracold atoms trapped by a one-dimensional optical lattice

Physical Review A ◽

10.1103/physreva.103.013320 ◽

2021 ◽

Vol 103 (1) ◽

Author(s):

Jiawei Li ◽

Jianhua Zeng

Keyword(s):

Dark Matter ◽

Optical Lattice ◽

Ultracold Atoms ◽

Matter Wave ◽

One Dimensional ◽

Gap Solitons

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Gap solitons supported by an optical lattice in biased photorefractive crystals having both the linear and quadratic electro-optic effect

Zeitschrift für Naturforschung A ◽

10.1515/zna-2020-0075 ◽

2020 ◽

Vol 75 (8) ◽

pp. 749-756

Author(s):

Aavishkar Katti ◽

Chittaranjan P. Katti

Keyword(s):

Band Gap ◽

Optical Lattice ◽

Propagation Constant ◽

Gap Soliton ◽

Electro Optic ◽

Quadratic Nonlinearities ◽

Existence And Stability ◽

Gap Solitons ◽

Finite Band ◽

First Time

AbstractWe investigate the existence and stability of gap solitons supported by an optical lattice in biased photorefractive (PR) crystals having both the linear and quadratic electro-optic effect. Such PR crystals have an interesting interplay between the linear and quadratic nonlinearities. Gap solitons are predicted for the first time in such novel PR media. Taking a relevant example (PMN-0.33PT), we find that the gap solitons in the first finite bandgap are single humped, positive and symmetric solitons while those in the second finite band gap are antisymmetric and double humped. The power of the gap soliton depends upon the value of the axial propagation constant. We delineate three power regimes and study the gap soliton profiles in each region. The gap solitons in the first finite band gap are not linearly stable while those in the second finite band gap are found to be stable against small perturbations. We study their stability properties in detail throughout the finite band gaps. The interplay between the linear and quadratic electro-optic effect is studied by investigating the spatial profiles and stability of the gap solitons for different ratios of the linear and quadratic nonlinear coefficients.

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Effect of Double Defects on Transmission Spectra of One-Dimensional Photonic Crystals

Materials Science Forum ◽

10.4028/www.scientific.net/msf.663-665.725 ◽

2010 ◽

Vol 663-665 ◽

pp. 725-728 ◽

Cited By ~ 1

Author(s):

Yuan Ming Huang ◽

Qing Lan Ma ◽

Bao Gai Zhai ◽

Yun Gao Cai

Keyword(s):

Photonic Crystals ◽

Band Gap ◽

Theoretical Calculations ◽

Stop Band ◽

Band Gaps ◽

Characteristic Matrix ◽

Frequency Range ◽

Defect Band ◽

One Dimensional ◽

The One

Considered the model of the one-dimensional photonic crystals (1-D PCs) with double defects, the refractive indexes (n2’, n3’ and n2’’, n3’’) of the double defects were 2.0, 4.0 and 4.0, 2.0 respectively. With parameter n2=1.5, n3=2.5, by theoretical calculations with characteristic matrix method, the results shown that for a certain number (14 was taken) of layers of the 1-D PCs, when the double defects abutted, there was a defect band gap in the stop band gap, while when the double defects separated, there occurred two defect band gaps in the stop band gap; besides, with the separation of the two defects, the transmittance of the double defect band gaps decreased gradually. In addition, in this progress, the frequency range of the stop band gap has a little increase from 0.092 to 0.095.

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