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Related papers: PT Symmetric Floquet Topological Phase

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An integrable model subjected to a periodic driving gives rise generally to a non-integrable Floquet Hamiltonian. Here we show that the Floquet Hamiltonian of the integrable Lieb--Liniger model in presence of a linear potential with a…

Statistical Mechanics · Physics 2019-10-01 Andrea Colcelli , Giuseppe Mussardo , German Sierra , Andrea Trombettoni

The natural existence of crystalline symmetry in real materials manifests the importance of understanding crystalline symmetry-protected topological (SPT) phases, especially for interacting systems. In this paper, we systematically…

Strongly Correlated Electrons · Physics 2024-06-19 Jian-Hao Zhang , Shang-Qiang Ning , Yang Qi , Zheng-Cheng Gu

The cooperation between time-periodic driving fields and non-Hermitian effects could endow systems with distinctive spectral and transport properties. In this work, we uncover an intriguing class of non-Hermitian Floquet matter in…

Quantum Physics · Physics 2022-08-16 Longwen Zhou , Wenqian Han

Floquet topological photonic insulators characterized by periodically-varying Hamiltonians are known to exhibit much richer topological behaviors than static systems. In a Floquet insulator, the phase evolution of the Floquet-Bloch modes…

Optics · Physics 2024-06-19 Shirin Afzal , Vien Van

We show that non-Hermiticity enables topological phases with unidirectional transport in one-dimensional Floquet chains. The topological signatures of these phases are non-contractible loops in the spectrum of the Floquet propagator that…

Mesoscale and Nanoscale Physics · Physics 2020-06-04 Bastian Höckendorf , Andreas Alvermann , Holger Fehske

Hopf insulators represent a unique class of topological insulators that exist exclusively in two-band systems and are inherently unstable upon the inclusion of additional bands. Meanwhile, recent studies have shown that non-Hermiticity…

Mesoscale and Nanoscale Physics · Physics 2025-08-20 Daichi Nakamura , Kohei Kawabata

Periodically driven systems host topological phases without static analogs, such as the anomalous Floquet phase characterized by trivial bulk bands yet robust boundary modes. In this work, we investigate the scattering problem of a Floquet…

Mesoscale and Nanoscale Physics · Physics 2026-05-14 Fangqiao Ye , Haiping Hu

The congregation of topological quantum and classical systems with the ideas of non-Hermitian physics has generated enormous research interest in the last few years. While the concepts associated to non-trivial topological aspects have…

Applied Physics · Physics 2021-08-27 Nitish Kumar Gupta , Arun M. Jayannavar

Periodically driven non-Hermitian systems can exhibit rich topological band structure and non-Hermitian skin effect, without analogs in their static or Hermitian counterparts. In this work we investigate the exceptional band-touching points…

Mesoscale and Nanoscale Physics · Physics 2020-01-22 Xizheng Zhang , Jiangbin Gong

Periodically-driven or Floquet systems can realize anomalous topological phenomena that do not exist in any equilibrium states of matter, whose classification and characterization require new theoretical ideas that are beyond the…

Mesoscale and Nanoscale Physics · Physics 2020-10-27 Rui-Xing Zhang , Zhi-Cheng Yang

Symmetry-protected topological (SPT) phases of matter have been interpreted in terms of anomalies, and it has been expected that a similar picture should hold for SPT phases with fermions. Here, we describe in detail what this picture means…

Mesoscale and Nanoscale Physics · Physics 2016-08-03 Edward Witten

Non-Hermitian topological insulators have attracted considerable attention due to their distinctive energy band characteristics and promising applications. Here, we systematically investigate non-Hermitian M\"obius insulators and…

Mesoscale and Nanoscale Physics · Physics 2025-06-18 Wenjie Zhang , Yuting Yang , Xiaopeng Shen , Liwei Shi , Zhi Hong Hang

We consider asymmetric and symmetric dimerized two-leg ladders, comprising of four different lattice points per unit cell, illuminated by circularly polarized light. In the asymmetric dimerized ladder case, rungs are not perpendicular to…

Mesoscale and Nanoscale Physics · Physics 2020-09-08 Milad Jangjan , Mir Vahid Hosseini

Floquet modulations often yield effective Hamiltonians not easily accessible in traditional time-dependent systems, which brings opportunities for exploring novel physics of quantum dynamics. We investigate a Floquet system exhibiting…

Quantum Physics · Physics 2025-09-17 Suyang Lin , Ming Gong , Congjun Wu

Non-Hermitian skin effect and photonic topological edge states are of great interest in non-Hermitian physics and optics. However, the interplay between them is largly unexplored. Here, we propose and demonstrate experimentally the…

Mesoscale and Nanoscale Physics · Physics 2023-06-07 Yeyang Sun , Xiangrui Hou , Tuo Wan , Fangyu Wang , Shiyao Zhu , Zhichao Ruan , Zhaoju Yang

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…

Optics · Physics 2026-01-21 Stephan Wong , Alexander Cerjan , Justin T. Cole

We revisit the question of whether a two-dimensional topological insulator may arise in a commensurate N\'eel antiferromagnet, where staggered magnetization breaks both the elementary translation and time reversal, but retains their product…

Strongly Correlated Electrons · Physics 2016-04-07 Frédéric Bègue , Pierre Pujol , Revaz Ramazashvili

Time-periodic external drives have emerged as a powerful tool to artificially create topological phases of matter. Prime examples are Floquet topological insulators (FTIs), where a gapped bulk supports in-gap edge states, protected against…

Mesoscale and Nanoscale Physics · Physics 2020-01-08 Oleksandr Balabanov , Henrik Johannesson

We present a class of three dimensional (3D) two-band Floquet topological insulators constructed from two-dimensional Floquet topological insulators with a $Z$ topological index. It is shown that the 3D two-band Floquet topological…

Mesoscale and Nanoscale Physics · Physics 2019-02-18 Yan He , Chih-Chun Chien

Non-Hermitian topological phases have gained immense attention due to their potential to unlock novel features beyond Hermitian bounds. PT-symmetric (Parity Time-reversal symmetric) non-Hermitian models have been studied extensively over…

Mesoscale and Nanoscale Physics · Physics 2025-04-08 Chakradhar Rangi , Ka-Ming Tam , Juana Moreno