Gap solitons and Bloch waves in nonlinear periodic systems

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	Gap solitons and Bloch waves in nonlinear periodic systems
	Zhang, YP ; Liang, ZX ; Wu, B
刊名	PHYSICAL REVIEW A
	2009
卷号	80 期号:6
关键词	BOSE-EINSTEIN CONDENSATE PHOTONIC LATTICES OPTICAL LATTICES MODULATIONAL INSTABILITY DISCRETE SOLITONS GUIDE ARRAYS DYNAMICS
ISSN号	1050-2947
通讯作者	Zhang, YP: Chinese Acad Sci, Inst Phys, Beijing 100190, Peoples R China.
中文摘要	We comprehensively investigate gap solitons and Bloch waves in one-dimensional nonlinear periodic systems. Our results show that there exists a composition relation between them: Bloch waves at either the center or edge of the Brillouin zone are infinite chains composed of fundamental gap solitons (FGSs). We argue that such a relation is related to the exact relation between nonlinear Bloch waves and nonlinear Wannier functions. With this composition relation, many conclusions can be drawn for gap solitons without any computation. For example, for the defocusing nonlinearity, there are n families of FGS in the nth linear Bloch band gap; for the focusing case, there are infinite number of families of FGSs in the semi-infinite gap and other gaps. In addition, the stability of gap solitons is analyzed. In literature, there are numerical results showing that some FGSs have cutoffs on propagation constant (or chemical potential), i.e., these FGSs do not exist for all values of propagation constant (or chemical potential) in the linear band gap. We develop an intuitive picture to describe this cutoff.
收录类别	SCI
资助信息	NSF of China [10825417]; MOST of China [2005CB724500, 2006CB921400]; IMR SYNL-T.S.; Ke Research Grant
语种	英语
公开日期	2013-09-17
内容类型	期刊论文
源URL	[http://ir.iphy.ac.cn/handle/311004/38575]
专题	物理研究所_物理所公开发表论文_物理所公开发表论文_期刊论文
推荐引用方式 GB/T 7714	Zhang, YP,Liang, ZX,Wu, B. Gap solitons and Bloch waves in nonlinear periodic systems[J]. PHYSICAL REVIEW A,2009,80(6).
APA	Zhang, YP,Liang, ZX,&Wu, B.(2009).Gap solitons and Bloch waves in nonlinear periodic systems.PHYSICAL REVIEW A,80(6).
MLA	Zhang, YP,et al."Gap solitons and Bloch waves in nonlinear periodic systems".PHYSICAL REVIEW A 80.6(2009).