Li Jiawei, Zhang Yanpeng, Zeng Jianhua
State Key Laboratory of Transient Optics and Photonics, Xi'an Institute of Optics and Precision Mechanics of Chinese Academy of Sciences, Xi'an 710119, China.
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.
iScience. 2022 Mar 5;25(4):104026. doi: 10.1016/j.isci.2022.104026. eCollection 2022 Apr 15.
Past decades have witnessed the emergence and increasing expansion of parity-time ( )-symmetric systems in diverse physical fields and beyond as they manifest entirely all-real spectra, although being non-Hermitian. Nonlinear waves in low-dimensional -symmetric non-Hermitian systems have recently been explored broadly; however, understanding these systems in higher dimensions remains abstruse and has yet to be revealed. We survey, theoretically and numerically, matter-wave nonlinear gap modes of Bose-Einstein condensates with repulsive interparticle interactions in three-dimensional optical lattices with emphasis on multidimensional gap solitons and vortices. Utilizing direct perturbed simulations, we address the stability and instability areas of both localized modes in the underlying linear band gap spectra. Our study provides deep and consistent understandings of the formation, structural property, and dynamics of coherent localized matter waves supported by optical lattices in multidimensional space, thus opening a way for exploring and stabilizing three-dimensional localized gap modes in non-Hermitian systems.
在过去几十年里，宇称-时间（ ）对称系统在各种物理领域及其他领域中出现并不断扩展，尽管它们是非厄米的，但其能谱却完全是实的。低维 对称非厄米系统中的非线性波最近得到了广泛研究；然而，对高维此类系统的理解仍然晦涩难懂，尚未得到揭示。我们从理论和数值上研究了三维光学晶格中具有排斥性粒子间相互作用的玻色-爱因斯坦凝聚体的物质波非线性能隙模式，重点关注多维能隙孤子和涡旋。利用直接微扰模拟，我们确定了基础线性带隙谱中两种局域模式的稳定和不稳定区域。我们的研究为深入、连贯地理解多维空间中光学晶格所支持的相干局域物质波的形成、结构特性和动力学提供了依据，从而为探索和稳定非厄米系统中的三维局域能隙模式开辟了道路。
