| Self-trapped spatially localized states in combined linear-nonlinear periodic potentials |
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| 作者姓名： | Jin-Cheng Shi Jian-Hua Zeng |
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| 作者单位： | State Key Laboratory of Transient Optics and Photonics;University of Chinese Academy of Sciences;Key Laboratory for Physical Electronics and Devices of the Ministry of Education&Shaanxi Key Lab of Information Photonic Technique |
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| 基金项目： | the NSFC,China(Grant Nos.61690224 and 61690222);the Youth Innovation Promotion Association of the Chinese Academy of Sciences(Grant No.2016357). |
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| 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 potentials.The former is found to be stable once placed inside a single well of the nonlinear lattice,it is unstable otherwise.Contrary 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 lattices.The practical possibilities for experimental realization of the predicted solutions are also discussed.
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| 关 键 词： | GAP SOLITONS and GAP waves BOSE-EINSTEIN CONDENSATES LINEAR and NONLINEAR periodic potentials |
Self-trapped spatially localized states in combined linear-nonlinear periodic potentials |
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| Jin-Cheng Shi,Jian-Hua Zeng.Self-trapped spatially localized states in combined linear-nonlinear periodic potentials[J].Frontiers of Physics,2020,15(1):12602-24. |
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| Authors: | Jin-Cheng Shi Jian-Hua Zeng |
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| Institution: | 1. State Key Laboratory of Transient Optics and Photonics, Xi’an Institute of Optics and Precision Mechanics of CAS, Xi’an 710119, China2. University of Chinese Academy of Sciences, Beijing 100049, China3. Key Laboratory for Physical Electronics and Devices of the Ministry of Education & Shaanxi Key Lab of Information Photonic Technique, Xi’an Jiaotong University, Xi’an 710049, China |
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| Abstract: | 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 potentials. The former is found to be stable once placed inside a single well of the nonlinear lattice, it is unstable otherwise. Contrary 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 lattices. The practical possibilities for experimental realization of the predicted solutions are also discussed. |
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| Keywords: | gap solitons and gap waves Bose–Einstein condensates linear and nonlinear periodic potentials |
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