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Nonlinear dynamical stability of gap solitons in Bose-Einstein condensate loaded in a deformed honeycomb optical lattice |
| Hongjuan Meng(蒙红娟)1,2, Yushan Zhou(周玉珊)1,2, Xueping Ren(任雪平)1,2, Xiaohuan Wan(万晓欢)1,2, Juan Zhang(张娟)1,2, Jing Wang(王静)1,2, Xiaobei Fan(樊小贝)1,2, Wenyuan Wang(王文元)1,2,†, and Yuren Shi(石玉仁)1,2,‡ |
1 College of Physics and Electronic Engineering, Northwest Normal University, Lanzhou 730070, China;
2 Key Laboratory of Atomic and Molecular Physics & Functional Materials of Gansu Province, Northwest Normal University, Lanzhou 730070, China |
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Abstract We investigate the existence and dynamical stability of multipole gap solitons in Bose-Einstein condensate loaded in a deformed honeycomb optical lattice. Honeycomb lattices possess a unique band structure, the first and second bands intersect at a set of so-called Dirac points. Deformation can result in the merging and disappearance of the Dirac points, and support the gap solitons. We find that the two-dimensional honeycomb optical lattices admit multipole gap solitons. These multipoles can have their bright solitary structures being in-phase or out-of-phase. We also investigate the linear stabilities and nonlinear stabilities of these gap solitons. These results have applications of the localized structures in nonlinear optics, and may helpful for exploiting topological properties of a deformed lattice.
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Received: 21 March 2021
Revised: 21 April 2021
Accepted manuscript online: 13 May 2021
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PACS:
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67.85.Hj
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(Bose-Einstein condensates in optical potentials)
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05.45.Yv
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(Solitons)
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42.81.Dp
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(Propagation, scattering, and losses; solitons)
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| Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 12065022, 12005173, 11747018, and 11565021), the Natural Science Foundation of Gansu Province of China (Grant No. 20JR10RA082), the China Postdoctoral Science Foundation (Grant No. 2020M680318), and the Scientific Research Foundation of NWNU (Grant No. NWNU-LKQN-16-3). |
Corresponding Authors:
Wenyuan Wang, Yuren Shi
E-mail: wywang@nwnu.edu.cn;shiyr@nwnu.edu.cn
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Cite this article:
Hongjuan Meng(蒙红娟), Yushan Zhou(周玉珊), Xueping Ren(任雪平), Xiaohuan Wan(万晓欢), Juan Zhang(张娟), Jing Wang(王静), Xiaobei Fan(樊小贝), Wenyuan Wang(王文元), and Yuren Shi(石玉仁) Nonlinear dynamical stability of gap solitons in Bose-Einstein condensate loaded in a deformed honeycomb optical lattice 2021 Chin. Phys. B 30 126701
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