Topological Phase Transition and Edge States with Tunable Localization in the Cyclic Four-Mode Optical System

IF 4.4 Q1 OPTICS Advanced quantum technologies Pub Date : 2024-07-29 DOI:10.1002/qute.202400165
Chun-Lin Zhang, Kai-Xin Hu, Jie Zhang, Ji Cao, Shou Zhang, Hong-Fu Wang
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Abstract

A cyclic four-mode optical system is investigated with anti-parity-time symmetry. The energy spectra is analyzed and reveal the topological phase transition under different parameter regimes. In the topological phase regions, it is found that the degree of localization of the edge states can be tuned by modulating the vertical hopping strength. Moreover, it is observed that the emergence of nonzero energy edge states and the expansion of the topological phase regions. Meanwhile, it is found that the nonzero energy edge states still adhere to the bulk boundary correspondence, and which can be demonstrated by the bulk bandgap. Zero and nonzero energy edge states are also characterized by Zak phase and hidden Chern number. These results enrich the study of topological phases and edge states in non-Hermitian optical systems.

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循环四模式光学系统中的拓扑相变和具有可调谐定位功能的边缘态
研究了具有反均时对称性的循环四模式光学系统。分析了能谱,并揭示了不同参数区下的拓扑相变。研究发现,在拓扑相区,边缘态的局部化程度可以通过调节垂直跳变强度来调整。此外,还观察到非零能量边缘态的出现和拓扑相区的扩展。同时,研究还发现非零能边缘态仍与体边界对应,这可以通过体带隙来证明。零能量和非零能量边缘态还具有扎克相和隐切尔诺数的特征。这些结果丰富了对非赫米提光学系统中拓扑相位和边缘态的研究。
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Front Cover: Laser Beam Induced Charge Collection for Defect Mapping and Spin State Readout in Diamond (Adv. Quantum Technol. 12/2024) Inside Front Cover: Numerical Investigation of a Coupled Micropillar - Waveguide System for Integrated Quantum Photonic Circuits (Adv. Quantum Technol. 12/2024) Back Cover: Purity-Assisted Zero-Noise Extrapolation for Quantum Error Mitigation (Adv. Quantum Technol. 12/2024) Issue Information (Adv. Quantum Technol. 12/2024) Issue Information (Adv. Quantum Technol. 11/2024)
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