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The standard understanding of topological protection from band theory is that a system's topology cannot change without first closing the bulk band gap. However, in Floquet systems, this typical definition of topological protection is one…

光学 · 物理学 2026-01-21 Stephan Wong , Alexander Cerjan , Justin T. Cole

Non-equilibrium phases of matter have attracted much attention in recent years, among which the Floquet phase is a hot point. In this work, based on the Periodic driving Non-Hermitian model, we reveal that the winding number calculated in…

量子物理 · 物理学 2022-09-07 Gang-Feng Guo , Yan Wang , Xi-Xi Bao , Lei Tan

The Haldane model is the simplest yet most powerful topological lattice model exhibiting various phases, including the Dirac semimetal phase and the anomalous quantum Hall phase (also known as the Chern insulator). Although considered…

光学 · 物理学 2025-04-28 Rujiang Li , Wencai Wang , Xiangyu Kong , Bo Lv , Yongtao Jia , Huibin Tao , Pengfei Li , Ying Liu

Parity-time ($\mathcal{PT}$) symmetry plays an important role both in non-Hermitian and topological systems. In non-Hermitian systems $\mathcal{PT}$ symmetry can lead to an entirely real energy spectrum, while in topological systems…

介观与纳米尺度物理 · 物理学 2019-12-18 W. B. Rui , Moritz M. Hirschmann , Andreas P. Schnyder

Non-Hermitian systems exhibit anomalous scaling, a striking departure from conventional bulk laws, rooted in the non-Hermitian skin effect (NHSE). Here, we experimentally uncover this scaling and demonstrate its active control in a temporal…

光学 · 物理学 2026-03-30 Shulin Wang , Jiawei He , Zhiyuan Yang , Stefano Longhi , Peng Xue

Non-Hermitian Hamiltonians, which describe a wide range of dissipative systems, and higher-order topological phases, which exhibit novel boundary states on corners and hinges, comprise two areas of intense current research. Here we…

介观与纳米尺度物理 · 物理学 2019-03-13 Elisabet Edvardsson , Flore K. Kunst , Emil J. Bergholtz

We analyze the non-Hermitian Haldane model where the spin-orbit interaction is made non-Hermitian. The Dirac mass becomes complex. We propose to realize it by an $LC$ circuit with operational amplifiers. A topological phase transition is…

介观与纳米尺度物理 · 物理学 2019-08-07 Motohiko Ezawa

We address the breakdown of the bulk-boundary correspondence observed in non-Hermitian systems, where open and periodic systems can have distinct phase diagrams. The correspondence can be completely restored by considering the Hamiltonian's…

介观与纳米尺度物理 · 物理学 2019-05-24 Loic Herviou , Jens H. Bardarson , Nicolas Regnault

Non-Hermitian physics has added new ingredients to topological physics, leading to the rising frontier of non-Hermitian topological phases. In this study, we investigate Chern insulator phases emerging from non-Hermitian kagome models with…

材料科学 · 物理学 2024-05-13 Li-Wei Wang , Zhi-Kang Lin , Jian-Hua Jiang

A prominent feature of some one-dimensional non-Hermitian systems is that all right-eigenstates of the non-Hermitian Hamiltonian are localized in one end of the chain. The topological and trivial phases are distinguished by the emergence of…

介观与纳米尺度物理 · 物理学 2019-07-17 Motohiko Ezawa

Non-Hermiticity alters topology with the presence of non-Hermitian factors in topological systems. Most existing non-Hermitian topological systems derive their topological phases from Hermitian components, that is, the gain and loss of the…

We study the entanglement spectrum of noninteracting band insulators, which can be computed from the two-point correlation function, when restricted to one part of the system. In particular, we analyze a type of partitioning of the system…

强关联电子 · 物理学 2013-09-18 Markus Legner , Titus Neupert

The study of topological states has developed rapidly in electric circuits, which permits flexible fabrications of non-Hermitian systems by introducing non-Hermitian terms. Here, nonreciprocal coupling terms are realized by utilizing a…

介观与纳米尺度物理 · 物理学 2023-10-17 Bin Liu , Yang Li , Bin Yang , Xiaopeng Shen , Yuting Yang , Zhi Hong Hang , Motohiko Ezawa

Bulk-edge correspondence, with quantized bulk topology leading to protected edge states, is a hallmark of topological states of matter and has been experimentally observed in electronic, atomic, photonic, and many other systems. While…

Quantum devices characterized by non-Hermitian topology are predicted to show highly robust and potentially useful properties, but realizing them has remained a daunting experimental task. This is because non-Hermiticity is often associated…

The Su-Schrieffer-Heeger model of polyacetylene is a paradigmatic Hamiltonian exhibiting non-trivial edge states. By using Floquet theory we study how the spectrum of this one-dimensional topological insulator is affected by a…

介观与纳米尺度物理 · 物理学 2015-12-01 V. Dal Lago , M. Atala , L. E. F. Foa Torres

Recent experimental advances in controlling dissipation have brought about unprecedented flexibility in engineering non-Hermitian Hamiltonians in open classical and quantum systems. A particular interest centers on the topological…

介观与纳米尺度物理 · 物理学 2018-09-25 Zongping Gong , Yuto Ashida , Kohei Kawabata , Kazuaki Takasan , Sho Higashikawa , Masahito Ueda

We experimentally realized Floquet topological photonic insulators using a square lattice of direct-coupled octagonal resonators. Unlike previously reported topological insulator systems based on microring lattices, the nontrivial…

光学 · 物理学 2020-07-01 Shirin Afzal , Tyler J. Zimmerling , Yang Ren , David Perron , Vien Van

Spectral winding of complex eigenenergies represents a topological aspect unique in non-Hermitian systems, which vanishes in one-dimensional (1D) systems under the open boundary conditions (OBC). In this work, we discover a boundary…

介观与纳米尺度物理 · 物理学 2023-04-18 Zuxuan Ou , Yucheng Wang , Linhu Li

Two-dimensional periodically-driven topological insulators have been shown to exhibit numerous topological phases, including ones which have no static analog, such as anomalous Floquet topological phases. We study a two dimensional model of…

介观与纳米尺度物理 · 物理学 2022-02-25 Balaganchi A. Bhargava , Sanjib Kumar Das , Ion Cosma Fulga