Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Chinese Physics Letters

Dynamical Stability of Gap Soliton of One-Dimensional Condensate in Optical Lattices with Strong Interatomic Interaction

王登龙, 颜晓红, 王凤姣

Published Jan 1, 2007• 0 citations
OpenAlex

Abstract

由开发多重规模方法，我们经分解学习在光格子的 Bose 爱因斯坦冷凝物的差距 soliton 的动力学性质。theinteratomic 相互作用力量什么时候比格子深度大，被显示出 gapsoliton 将出现在冷凝物的线性乐队光谱的 Brillouin 地区边。而且， gapsoliton 的密度开始是相对小的，当它与时间增加并且变得稳定时。

Related papers

Dynamical Stability of Gap Soliton of One-Dimensional Condensate in Optical Lattices with Strong Interatomic Interaction

Denglong Wang, Xiaohong Yan, Fengjiao Wang

By developing the multiple scales method, we analytically study the dynamics properties of gap soliton of Bose–Einstein condensate in optical lattices. It is shown that the gap soliton will appear at Brillouin zone edge of linear band spectrum of the condensates when the interatomic interaction strength is larger than the lattice depth. Moreover, the density of gap soliton starts to be relatively small, while it increases with time and becomes stable.

Chinese Physics Letters•Jun 28, 2007•22 citations

Stability of gap solitons in a Bose-Einstein condensate

Karen Marie Hilligsøe, Markus K. Oberthaler, Karl-Peter Marzlin

We analyze the dynamical stability of gap solitons formed in a quasi-one-dimensional Bose-Einstein condensate in an optical lattice. Using two different numerical methods we show that, under realistic assumptions for experimental parameters, a gap soliton is stable only in a truly one-dimensional situation. In two and three dimensions, resonant transverse excitations lead to dynamical instability. The time scale of the decay is numerically calculated and shown to be large compared to the characteristic time scale of solitons for realistic physical parameters.

arXiv:cond-mat/0208136•Physical Review A•Dec 20, 2002•59 citations

Effect of interaction strength on gap solitons of Bose–Einstein condensates in optical lattices

Yang Ru-shu, Yang Jiang-he

We have developed a systematic analytical approach to the study on the dynamic properties of the linear and the nonlinear excitations for quasi-one-dimensional Bose–Einstein condensate trapped in optical lattices. A novel linear dispersion relation and an algebraic soliton solution of the condensate are derived analytically under consideration of Bose–Einstein condensate with a periodic potential. By analysing the soliton solution, we find that the interatomic interaction strength has an important effect on soliton dynamic properties of Bose–Einstein condensate.

Chinese Physics B•Apr 1, 2008•8 citations

Mechanisms of formation of gap solitons of Bose-Einstein condensates in optical lattices

Luis Plaja, Julio San Román

It is known that solitons of Bose-Einstein condensates with positive scattering lengths can be produced in optical lattices. The key of this process is the negative sign of the effective mass of the wavepacket as it comes closer to the edge of the first Brillouin zone. However, the underlying assumption of the effective mass approach is the slow variation of the wavefunction envelope between consecutive lattice cells. Previous experiments and computations on this type of solitons show that this is not the usual case. In this contribution we will go beyond the slowly varying assumption to demonstrate that the equations governing the dynamics of gap solitons contain a third derivative in the dispersion. As a result, the dynamics of the stabilized wavepackets is found different that the soliton's. In particular, a radiative component is present, and the stability under collisions is only partially achieved.

Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE•Apr 7, 2006•0 citations

Dynamically control of condensate solitons

Yang Ru-shu

A systematically quantum control method of the dynamic properties of the linear and the nonlianear excitations were developed for quasi-dimensional Bose-Einstein conden- sate trapped in optical lattices. It was found out that the interatomic interaction strength has an important effect on soliton dynamic properties of Bose-Einstein condensate.

Journal of Hunan University of Arts and Science•Jan 1, 2009•0 citations

Nonlinear dynamical stability of gap solitons in Bose–Einstein condensate loaded in a deformed honeycomb optical lattice*

Hongjuan Meng, Yushan Zhou, Xue-Ping Ren +6 more

We investigate the existence and dynamical stability of multipole gap solitons in Bose–Einstein condensate loaded in a deformed honeycomb optical lattice. Honeycomb lattices possess a unique band structure, the first and second bands intersect at a set of so-called Dirac points. Deformation can result in the merging and disappearance of the Dirac points, and support the gap solitons. We find that the two-dimensional honeycomb optical lattices admit multipole gap solitons. These multipoles can have their bright solitary structures being in-phase or out-of-phase. We also investigate the linear stabilities and nonlinear stabilities of these gap solitons. These results have applications of the localized structures in nonlinear optics, and may helpful for exploiting topological properties of a deformed lattice.

Chinese Physics B•May 13, 2021•5 citations
由开发多重规模方法，我们经分解学习在光格子的 Bose 爱因斯坦冷凝物的差距 soliton 的动力学性质。theinteratomic 相互作用力量什么时候比格子深度大，被显示出 gapsoliton 将出现在冷凝物的线性乐队光谱的 Brillouin 地区边。而且， gapsoliton 的密度开始是相对小的，当它与时间增加并且变得稳定时。
We analyze the dynamical stability of gap solitons formed in a quasi-one-dimensional Bose-Einstein condensate in an optical lattice. Using two different numerical methods we show that, under realistic assumptions for experimental parameters, a gap soliton is stable only in a truly one-dimensional situation. In two and three dimensions, resonant transverse excitations lead to dynamical instability. The time scale of the decay is numerically calculated and shown to be large compared to the characteristic time scale of solitons for realistic physical parameters.
We have developed a systematic analytical approach to the study on the dynamic properties of the linear and the nonlinear excitations for quasi-one-dimensional Bose–Einstein condensate trapped in optical lattices. A novel linear dispersion relation and an algebraic soliton solution of the condensate are derived analytically under consideration of Bose–Einstein condensate with a periodic potential. By analysing the soliton solution, we find that the interatomic interaction strength has an important effect on soliton dynamic properties of Bose–Einstein condensate.
It is known that solitons of Bose-Einstein condensates with positive scattering lengths can be produced in optical lattices. The key of this process is the negative sign of the effective mass of the wavepacket as it comes closer to the edge of the first Brillouin zone. However, the underlying assumption of the effective mass approach is the slow variation of the wavefunction envelope between consecutive lattice cells. Previous experiments and computations on this type of solitons show that this is not the usual case. In this contribution we will go beyond the slowly varying assumption to demonstrate that the equations governing the dynamics of gap solitons contain a third derivative in the dispersion. As a result, the dynamics of the stabilized wavepackets is found different that the soliton's. In particular, a radiative component is present, and the stability under collisions is only partially achieved.
We investigate the existence and dynamical stability of multipole gap solitons in Bose–Einstein condensate loaded in a deformed honeycomb optical lattice. Honeycomb lattices possess a unique band structure, the first and second bands intersect at a set of so-called Dirac points. Deformation can result in the merging and disappearance of the Dirac points, and support the gap solitons. We find that the two-dimensional honeycomb optical lattices admit multipole gap solitons. These multipoles can have their bright solitary structures being in-phase or out-of-phase. We also investigate the linear stabilities and nonlinear stabilities of these gap solitons. These results have applications of the localized structures in nonlinear optics, and may helpful for exploiting topological properties of a deformed lattice.