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Topological states of matter in non-Hermitian systems have attracted a lot of attention due to their intriguing dynamical and transport properties. In this study, we propose a periodically driven non-Hermitian lattice model in…

Mesoscale and Nanoscale Physics · Physics 2018-11-28 Longwen Zhou , Jiangbin Gong

Periodic driving enables realization of topological phases without static counterparts. We experimentally realize and detect a one-dimensional anomalous Floquet topological phase in an optical lattice, using multi-frequency control to…

Quantum Gases · Physics 2026-04-08 Pengju Zhao , Yudong Wei , Zhongshu Hu , Shengjie Jin , Xuzong Chen , Xiong-jun Liu

The possibility of attaining chiral edge modes under periodic driving has spurred tremendous attention, both theoretically and experimentally, especially in light of anomalous Floquet topological phases that feature vanishing Chern numbers…

Quantum Gases · Physics 2024-01-04 Miguel F. Martínez , F. Nur Ünal

Floquet topological phases emerge when systems are periodically driven out-of-equilibrium. They gained attention due to their external control, which allows to simulate a wide variety of static systems by just tuning the external field in…

Quantum Physics · Physics 2024-11-20 Álvaro Gómez-León

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…

Quantum Physics · Physics 2022-09-07 Gang-Feng Guo , Yan Wang , Xi-Xi Bao , Lei Tan

The engineering of synthetic materials characterised by more than one class of topological invariants is one of the current challenges of solid-state based and synthetic materials. Using a synthetic photonic lattice implemented in a…

Non-Abelian topological insulators are characterized by matrix-valued, non-commuting topological charges with regard to more than one energy gap. Their descriptions go beyond the conventional topological band theory, in which an additive…

Mesoscale and Nanoscale Physics · Physics 2025-11-11 Jiaxin Pan , Longwen Zhou

Driven Floquet systems can realize topological phases with no static counterparts. These so-called anomalous Floquet topology breaks the bulk-boundary correspondence based on the Chern number. The number of edge modes in each band gap is…

Mesoscale and Nanoscale Physics · Physics 2026-03-27 Luca Asteria , Klaus Sengstock , André Eckardt , Christof Weitenberg

Exotic topological states of matter such as Floquet topological insulator or Floquet Weyl semimetal can be induced by periodic driving. This work proposes a Floquet semimetal with Floquet-band holonomy. That is, the system is gapless, but…

Mesoscale and Nanoscale Physics · Physics 2016-09-21 Longwen Zhou , Chong Chen , Jiangbin Gong

A two-dimensional periodically driven (Floquet) system with zero winding number in the absence of time-reversal symmetry is usually considered topologically trivial. Here, we study the dynamics of a Gaussian wave packet placed at the…

Quantum Gases · Physics 2025-05-06 Xin-Xin Yang , Kai-Ye Shi , F. Nur Ünal , Wei Zhang

Coherent control via periodic modulation, also known as Floquet engineering, has emerged as a powerful experimental method for the realization of novel quantum systems with exotic properties. In particular, it has been employed to study…

The Floquet engineering opens the way to create new topological states without counterparts in static systems. Here, we report the experimental realization and characterization of new anomalous topological states with high-precision Floquet…

Non-Abelian topological phases, which go beyond traditional Abelian topological band theory, are garnering increasing attention. This is further spurred by periodic driving, leading to predictions of many novel multi-gap Floquet topological…

Mesoscale and Nanoscale Physics · Physics 2025-08-12 Huahui Qiu , Shuaishuai Tong , Qicheng Zhang , Kun Zhang , Chunyin Qiu

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

The periodic driving of a quantum system can enable new topological phases without analogs in static systems. This provides a route towards preparing non-equilibrium quantum phases rooted into the non-equilibrium nature by periodic driving…

Strongly Correlated Electrons · Physics 2020-07-22 Yufei Zhu , Tao Qin , Xinxin Yang , Gao Xianlong , Zhaoxin Liang

Recently the creation of novel topological states of matter by a periodic driving field has attracted great attention. To motivate further experimental and theoretical studies, we investigate interesting aspects of Floquet bands and…

Quantum Gases · Physics 2015-06-19 Longwen Zhou , Hailong Wang , Derek Y. H. Ho , Jiangbin Gong

The classification of topological Floquet systems with time-periodic Hamiltonians transcends that of static systems. For example, spinless fermions in periodically driven two-dimensional lattices are not completely characterized by the…

Quantum Gases · Physics 2019-07-02 F. Nur Ünal , Babak Seradjeh , André Eckardt

Nonequilibrium Floquet topological phases due to periodic driving are known to exhibit rich and interesting features with no static analogs. Various known topological invariants usually proposed to characterize static topological systems…

Mesoscale and Nanoscale Physics · Physics 2020-07-01 Muhammad Umer , Raditya Weda Bomantara , Jiangbin Gong

Anomalous Floquet topological phases are a hallmark, without a static analog, of periodically driven systems. Recently, Quantum Floquet Engineering has emerged as an interesting approach to cavity-QED materials, which recovers the physics…

Quantum Physics · Physics 2023-12-19 Beatriz Pérez-González , Gloria Platero , Álvaro Gómez-León

One-dimensional Floquet topological superconductors possess two types of degenerate Majorana edge modes at zero and $\pi$ quasieneriges, leaving more room for the design of boundary time crystals and quantum computing schemes than their…

Mesoscale and Nanoscale Physics · Physics 2023-09-06 Hailing Wu , Shenlin Wu , Longwen Zhou
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