Discrete solitons in self-defocusing systems with PT-symmetric defects

被引:21
作者
Chen, Zhiqiang [1 ]
Huang, Jiasheng [1 ]
Chai, Jinglei [1 ]
Zhang, Xiangyu [1 ,2 ]
Li, Yongyao [1 ]
Malomed, Boris A. [3 ]
机构
[1] South China Agr Univ, Coll Elect Engn, Dept Appl Phys, Guangzhou 510642, Guangdong, Peoples R China
[2] Duke Univ, Dept Elect & Comp Engn, Durham, NC 27708 USA
[3] Tel Aviv Univ, Fac Engn, Sch Elect Engn, Dept Phys Elect, IL-69978 Tel Aviv, Israel
来源
PHYSICAL REVIEW A | 2015年 / 91卷 / 05期
基金
中国国家自然科学基金;
关键词
STATIONARY LOCALIZED STATES; NONLINEAR IMPURITIES; WAVE; SCATTERING; BREATHERS; STABILITY; ARRAYS; DYNAMICS; BREAKING; LATTICES;
D O I
10.1103/PhysRevA.91.053821
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
We construct families of discrete solitons (DSs) in an array of self-defocusing waveguides with an embedded parity-time- (PT-) symmetric dimer, which is represented by a pair of waveguides carrying mutually balanced gain and loss. Four types of states attached to the embedded defect are found, namely, staggered and unstaggered bright localized modes and gray or antigray DSs. Their existence and stability regions expand with the increase of the strength of the coupling between the dimer-forming sites. The existence of the gray and staggered bright DSs is qualitatively explained by dint of the continuum limit. All the gray and antigray DSs are stable (some of them are unstable if the dimer carries the nonlinear PT symmetry, represented by balanced nonlinear gain and loss; in that case, the instability does not lead to a blowup, but rather creates oscillatory dynamical states). The boundary between the gray and antigray DSs is predicted in an approximate analytical form.
引用
收藏
页数:9
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