On stable solitons and interactions of the generalized Gross-Pitaevskii equation with PT- and non- PT-symmetric potentials.
On stable solitons and interactions of the generalized Gross-Pitaevskii equation with PT- and non- PT-symmetric potentials.
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DOI：
10.1063/1.4960612
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发表时间：
2016-08
期刊：
影响因子：
2.9
通讯作者：
Zhenya Yan;Yong Chen;Zichao Wen
中科院分区：
文献类型：
--
作者：
Zhenya Yan;Yong Chen;Zichao Wen
本文报道了广义Gross-Pitaevskii （GP）方程的亮孤子，它们具有几种物理相关的奇偶时间- (PT-)和非PT对称势。我们发现恒定动量系数Γ可以调制非线性模态的线性稳定性和复杂的横向功率流（并不总是从增益到损耗）。然而，变化的动量系数Γ(x)可以调制不间断的线性pt对称相和非线性模式的稳定性。特别是，非线性可以将不稳定的线性模式（即线性pt对称相位的破碎）激发为稳定的非线性模式。此外，我们还发现了在非pt对称的谐波高斯势存在下的稳定亮孤子。两个亮孤子的相互作用也在pt对称势中得到了说明。最后，我们考虑了广义pt对称Scarff-II势下三维GP方程的非线性模态和横向功率流。
We report the bright solitons of the generalized Gross-Pitaevskii (GP) equation with some types of physically relevant parity-time- ( PT-) and non- PT-symmetric potentials. We find that the constant momentum coefficient Γ can modulate the linear stability and complicated transverse power-flows (not always from the gain toward loss) of nonlinear modes. However, the varying momentum coefficient Γ(x) can modulate both unbroken linear PT-symmetric phases and stability of nonlinear modes. Particularly, the nonlinearity can excite the unstable linear mode (i.e., broken linear PT-symmetric phase) to stable nonlinear modes. Moreover, we also find stable bright solitons in the presence of non- PT-symmetric harmonic-Gaussian potential. The interactions of two bright solitons are also illustrated in PT-symmetric potentials. Finally, we consider nonlinear modes and transverse power-flows in the three-dimensional (3D) GP equation with the generalized PT-symmetric Scarff-II potential.