Evidencing non-Bloch dynamics in temporal topolectrical circuits

Wu, Maopeng; Zhao, Qian; Kang, Lei; Weng, Mingze; Chi, Zhonghai; Peng, Ruiguang; Liu, Jingquan; Werner, Douglas H.; Meng, Yonggang; Zhou, Ji

doi:10.1103/physrevb.107.064307

Cited by 10 publications

(7 citation statements)

References 74 publications

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“…Zhang's group demonstrated experimentally the existence of non-Hermitian peeling effect in a non-reciprocal coupled SSH model using a voltage follower [212]. So far, a variety of non-Hermitian phenomena have been observed on electric circuits, such as the evolution of non-Bloch waves [234], higher-order non-Hermitian skin effects [235,236], and many-body non-Hermitian skin effects [237].…”

Section: Acousticsmentioning

confidence: 99%

Generalized bulk-boundary correspondence in periodically driven non-Hermitian systems

Ji,

Yang

2024

J. Phys.: Condens. Matter

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We present a pedagogical review of the periodically driven non-Hermitian systems, particularly on the rich interplay between the non-Hermitian skin effect and the topology. We start by reviewing the non-Bloch band theory of the static non-Hermitian systems and discuss the establishment of its generalized bulk-boundary correspondence. Ultimately, we focus on the non-Bloch band theory of two typical periodically driven non-Hermitian systems: harmonically driven non-Hermitian system and periodically quenched non-Hermitian system. The non-Bloch topological invariants were defined on the generalized Brillouin zone and the real space wave functions to characterize the Floquet non-Hermtian topological phases. Then, the generalized bulk-boundary correspondence was established for the two typical periodically driven non-Hermitian systems. Additionally, we review novel phenomena in the higher-dimensional periodically driven non-Hermitian systems, including Floquet non-Hermitian higher-order topological phases and Floquet hybrid skin-topological modes. The experimental realizations and recent advances have also been surveyed. Finally, we end with a summarization and hope this pedagogical review can motivate further research on Floquet non-Hermtian topological physics.

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Section: Acousticsmentioning

confidence: 99%

Generalized bulk-boundary correspondence in periodically driven non-Hermitian systems

Ji,

Yang

2024

J. Phys.: Condens. Matter

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“…和非厄米趋肤效应 [35,74,119,128,144,145] 以及高阶拓扑角态 [126,127,146] 的测量. 不过需要注意的是, 本方法只适用于本征频率谱为近实谱(即本征频率的虚部很小)的情况, 因为扫描频率w只能是实数.…”

Section: 两点间阻抗unclassified

“…2022年, Shang等 [124] 研究了一个二维的非互易格点模型, 他们在实验中计算了二维的非布洛赫能量缠绕数, 发现由其表征的二阶非厄米趋肤效应. 2023年, Zhu等 [126] 构建了一个具有二阶手性的二维电路. 他们利用标准电阻引入非厄米项, 重构电路格林函数以测量每个节点的电压响应, 观测到阻抗的响应集中在边界局域态上, 展示了二维二阶非厄米趋肤效应.…”

Section: 杂化高阶拓扑趋肤效应是在高维系统中由非厄米unclassified

“…在用经典电路模拟非厄米趋肤效应的同时, 人们也对其他非厄米拓扑物态进行了模拟, 包括单纯由增益/耗损诱导的非厄米拓扑态 [74] 、非厄米连续谱中的束缚态(bound state in the continuum) [144] 、杂化高阶趋肤拓扑态 [121] 、高阶拓扑角态 [122,127] 、 N次方根拓扑相 [145] 、二阶手性系统中的拓扑态及动力学 [126] 、非厄米拓扑开关 [138] 以及非厄米Hopf 束 [128] 等.…”

Section: 其他非厄米拓扑态unclassified

“…2022年, Wu等 [43] 在研究非厄米二维电路的基础上, 设计了一个模拟二阶拓扑绝缘体的二维拓扑电路 [图9(a)] [122] . 实验中, 他们通过电阻引入非厄米项, 并调整两种电阻的大小关系以诱导不同 Gain 2023年, Zhu等 [126] 构建了一个具有二阶手性的二维电路. 他们利用标准电阻引入非厄米项, 观测到阻抗响应局域在电路节点平面的角、边和体三种情况, 分别表征二阶手性二维格点模型中的角态、边缘态和体态.…”

Section: Inic的连接方向实现对趋肤-趋肤和趋肤-拓扑两unclassified

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Electrical circuit simulation of non-Hermitian lattice models

Xu,

Zhou

et al. 2023

Acta Phys. Sin.

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Quantum simulation serves as a significant tool for studying and understanding novel phenomena in the quantum world. In recent years, it has be realized that apart from quantum platforms, classical systems like photonic crystals, phononic crystals, and mechanical oscillators can also be employed to simulate quantum models by analogizing the Schrödinger equation. Among these systems, electrical circuits have emerged as a promising simulation platform owing to their low cost, technological maturity, and ease of scalability, successfully simulating numerous important quantum phenomena. Meanwhile, non-Hermitian physics breaks the Hermiticity of systems' Hamiltonians in traditional quantum mechanics, providing a fresh perspective for understanding the physics of quantum systems, particularly open quantum systems. Non-Hermitian systems, due to their manifestation of unique phenomena absent in Hermitian systems, have become emerging research subjects in various fields of physics. However, many non-Hermitian phenomena require specialized configurations that pose relatively high technical thresholds on quantum platforms. For instance, the nonHermitian skin effect typically requires systems with non-reciprocal hopping between lattice sites. Therefore, utilizing flexible electrical circuits to simulate non-Hermitian physics becomes a natural choice. This paper provides a short review of the current experimental progress in simulating non-Hermitian lattice models using electrical circuits. It offers a brief introduction to the relevant knowledge of non-Hermitian physics, including mathematical concepts and novel phenomena, as well as the simulation theory of electrical circuits, including the mapping theory of the lattice models, the introduction of non-Hermiticity, the measurement of physical quantities, etc. The aim is to provide readers with a reference for better understanding or engagement in related research works, promoting further development in this field.

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