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The periodically driven quantum Ising chain has recently attracted a large attention in the context of Floquet engineering. In addition to the common paramagnet and ferromagnet, this driven model can give rise to new topological phases. In…

Quantum Gases · Physics 2017-07-26 Angelo Russomanno , Bat-el Friedman , Emanuele G. Dalla Torre

High-order topological phases, such as those with nontrivial quadrupole moments, protect edge states that are themselves topological insulators in lower dimensions. So far, most quadrupole phases of light are explored in linear optical…

Optics · Physics 2022-08-17 Jicheng Jin , Li He , Jian Lu , Eugene J. Mele , Bo Zhen

Prethermalization, where quasi-steady states are realized in the intermediate long time regime (prethermal regime), in periodically driven (Floquet) systems is an important phenomenon since it provides a platform of nontrivial Floquet…

Mesoscale and Nanoscale Physics · Physics 2019-08-14 Kaoru Mizuta , Kazuaki Takasan , Norio Kawakami

It is of theoretical and experimental interest to engineer topological phases with very large topological invariants via periodic driving. As advocated by this work, such Floquet engineering can be elegantly achieved by the particle swarm…

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

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

We present a Floquet framework for controlling topological features of a one-dimensional optical lattice system with dual-mode resonant driving, in which both the amplitude and phase of the lattice potential are modulated simultaneously. We…

Quantum Gases · Physics 2024-09-20 Dalmin Bae , Junyoung Park , Myeonghyeon Kim , Haneul Kwak , Junhwan Kwon , Yong-il Shin

Topological phases in quantum and classical systems have been of significant recent interest due to their fascinating physical properties. While a range of different mechanisms to induce topological order have been introduced, a quest for…

Materials Science · Physics 2019-08-07 Mengyao Li , Xiang Ni , Matthew Weiner , Andrea Alù , Alexander B. Khanikaev

Periodically driven quantum systems, known as Floquet systems, have been a focus of non-equilibrium physics in recent years, thanks to their rich dynamics. Not only time-periodic systems exhibit symmetries similar to those in spatially…

Quantum Physics · Physics 2021-10-01 Guoqing Wang , Changhao Li , Paola Cappellaro

Dynamical systems may host a number of remarkable symmetry-protected phases that are qualitatively different from their static analogs. In this work, we consider the phase space of symmetry-respecting unitary evolutions in detail and…

Strongly Correlated Electrons · Physics 2017-05-17 Rahul Roy , Fenner Harper

Non-Hermitian systems exhibit two distinct topological classifications based on their gap structure: line-gap and point-gap topologies. Although point-gap topology is intrinsic to non-Hermitian systems, its systematic construction remains a…

Superconductivity · Physics 2025-10-14 Xiang Ji , Hao Geng , Naeem Akhtar , Xiaosen Yang

When a physical system is subjected to a strong external multi-frequency drive, its dynamics can be conveniently represented in the multi-dimensional Floquet lattice. The number of the Floquet lattice dimensions equals the number of {\em…

Mesoscale and Nanoscale Physics · Physics 2017-10-25 Ivar Martin , Gil Refael , Bertrand Halperin

Time-periodic (Floquet) drive is a powerful method to engineer quantum phases of matter, including fundamentally non-equilibrium states that are impossible in static Hamiltonian systems. One characteristic example is the anomalous Floquet…

Quantum Gases · Physics 2022-01-12 Christopher I. Timms , Lukas M. Sieberer , Michael H. Kolodrubetz

Higher-order topological phases are characterized by protected states localized at the corners or hinges of the system. By applying time-periodic quenches to a two-dimensional lattice with balanced gain and loss, we obtain a rich variety of…

Mesoscale and Nanoscale Physics · Physics 2020-09-23 Jiaxin Pan , Longwen Zhou

We show how second-order Floquet engineering can be employed to realize systems in which many-body localization coexists with topological properties in a driven system. This allows one to implement and dynamically control a…

Disordered Systems and Neural Networks · Physics 2020-05-20 Kevin S. C. Decker , Christoph Karrasch , Jens Eisert , Dante M. Kennes

Topological insulators represent unique phases of matter with insulating bulk and conducting edge or surface states, immune to small perturbations such as backscattering due to disorder. This stems from their peculiar band structure, which…

Mesoscale and Nanoscale Physics · Physics 2013-10-01 Jérôme Cayssol , Balázs Dóra , Ferenc Simon , Roderich Moessner

Universal driving protocol for symmetry-protected Floquet topological phasesWe propose a universal driving protocol for the realization of symmetry-protected topological phases in $2+1$ dimensional Floquet systems. Our proposal is based on…

Strongly Correlated Electrons · Physics 2019-06-11 Bastian Höckendorf , Andreas Alvermann , Holger Fehske

Floquet topological matter has emerged as one exciting platform to explore rich physics and game-changing applications of topological phases. As one remarkable and recently discovered feature of Floquet symmetry protected topological (SPT)…

Quantum Physics · Physics 2018-10-23 Raditya Weda Bomantara , Jiangbin Gong

The recent discoveries of higher-order topological insulators (HOTIs) have shifted the paradigm of topological materials, which was previously limited to topological states at boundaries of materials, to those at boundaries of boundaries,…

Mesoscale and Nanoscale Physics · Physics 2020-12-17 Weiwei Zhu , Haoran Xue , Jiangbin Gong , Yidong Chong , Baile Zhang

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

Time-periodic driving fields could endow a system with peculiar topological and transport features. In this work, we find dynamically controlled localization transitions and mobility edges in non-Hermitian quasicrystals via shaking the…

Quantum Physics · Physics 2021-08-25 Longwen Zhou