Self-trapped spatially localized states in combined linear-nonlinear periodic potentials

作     者：Jin-Cheng Shi Jian-Hua Zeng Jin-Cheng Shi;Jian-Hua Zeng

作者机构：State Key Laboratory of Transient Optics and PhotonicsXi’an Institute of Optics and Precision Mechanics of CASXi’an 710119China University of Chinese Academy of SciencesBeijing 100049China Key Laboratory for Physical Electronics and Devices of the Ministry of Education&Shaanxi Key Lab of Information Photonic TechniqueXi’an Jiaotong UniversityXi’an 710049China 

出 版 物：《Frontiers of physics》 (物理学前沿（英文版）)

年 卷 期：2020年第15卷第1期

页      面：17-24页

核心收录：

学科分类：070207[理学-光学] 07[理学] 08[工学] 0803[工学-光学工程] 0701[理学-数学] 070101[理学-基础数学] 0702[理学-物理学] 

基　　金：the NSFC,China(Grant Nos.61690224 and 61690222) the Youth Innovation Promotion Association of the Chinese Academy of Sciences(Grant No.2016357) 

主　　题：gap solitons and gap waves Bose-Einstein condensates linear and nonlinear periodic potentials 

摘      要：We analyze the existence and stability of two kinds of self-trapped spatially localized gap modes,gap solitons and truncated nonlinear Bloch waves,in one-and two-dimensional optical or matter-wave media with self-focusing nonlinearity,supported by a combination of linear and nonlinear periodic lattice *** former is found to be stable once placed inside a single well of the nonlinear lattice,it is unstable *** to the case with constant self-focusing nonlinearity,where the latter solution is always unstable,here,we demonstrate that it nevertheless can be stabilized by the nonlinear lattice since the model under consideration combines the unique properties of both the linear and nonlinear *** practical possibilities for experimental realization of the predicted solutions are also discussed.