Nonlinear dynamical stability of gap solitons in Bose-Einstein condensate loaded in a deformed honeycomb optical lattice

doi:10.1088/1674-1056/ac009d

中国物理B ›› 2021, Vol. 30 ›› Issue (12): 126701-126701.doi: 10.1088/1674-1056/ac009d

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

收稿日期:2021-03-21 修回日期:2021-04-21 接受日期:2021-05-13 出版日期:2021-11-15 发布日期:2021-11-15
通讯作者: Wenyuan Wang, Yuren Shi E-mail:wywang@nwnu.edu.cn;shiyr@nwnu.edu.cn
基金资助:
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).

Nonlinear dynamical stability of gap solitons in Bose-Einstein condensate loaded in a deformed honeycomb optical lattice

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

Received:2021-03-21 Revised:2021-04-21 Accepted:2021-05-13 Online:2021-11-15 Published:2021-11-15
Contact: Wenyuan Wang, Yuren Shi E-mail:wywang@nwnu.edu.cn;shiyr@nwnu.edu.cn
Supported by:
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).

摘要/Abstract

摘要： 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.

关键词: gap soliton, Bose-Einstein condensate, deformed honeycomb optical lattice

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.

Key words: gap soliton, Bose-Einstein condensate, deformed honeycomb optical lattice

中图分类号: (Bose-Einstein condensates in optical potentials)

67.85.Hj

05.45.Yv (Solitons) 42.81.Dp (Propagation, scattering, and losses; solitons)

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[J]. 中国物理B, 2021, 30(12): 126701-126701.

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Nonlinear dynamical stability of gap solitons in Bose-Einstein condensate loaded in a deformed honeycomb optical lattice

Nonlinear dynamical stability of gap solitons in Bose-Einstein condensate loaded in a deformed honeycomb optical lattice

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