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Related papers: Floquet topological phases with large winding numb…

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Momentum-band topology, which transcends conventional topological band theory, unlocks new topological phases that host fascinating temporal interface states. However, direct bulk experimental evidence of such emerging band topology is…

Materials Science · Physics 2025-07-08 Shuaishuai Tong , Qicheng Zhang , Gaohan Li , Kun Zhang , Chun Xie , Chunyin Qiu

Two-dimensional periodically driven systems can host an unconventional topological phase unattainable for equilibrium systems, termed the Anomalous Floquet-Anderson insulator (AFAI). The AFAI features a quasi-energy spectrum with chiral…

Strongly Correlated Electrons · Physics 2022-04-20 Carolyn Zhang , Tobias Holder , Netanel H. Lindner , Mark Rudner , Erez Berg

Topological phases of matter are generally characterized by topological properties of energy bands of a system. Their transitions under preserved symmetries occur through closing a gap of energy bands, leading to topologically protected…

Mesoscale and Nanoscale Physics · Physics 2020-04-29 Yan-Bin Yang , Kai Li , Yong Xu

A Floquet systems is a periodically driven quantum system. It can be described by a Floquet operator. If this unitary operator has a gap in the spectrum, then one can define associated topological bulk invariants which can either only…

Mathematical Physics · Physics 2017-10-25 Christian Sadel , Hermann Schulz-Baldes

Symmetry protected topological order in one dimension leads to protected degeneracies between symmetry blocks of the reduced density matrix. In the presence of periodic driving, topological Floquet phases can be identified in terms of a…

Quantum Physics · Physics 2021-12-14 Daniel Azses , Emanuele G. Dalla Torre , Eran Sela

Time-periodic driving of a quantum system can enable new dynamical topological phases of matter that could not exist in thermal equilibrium. We investigate two related classes of dynamical topological phenomena in 2D systems: Floquet…

Strongly Correlated Electrons · Physics 2017-04-26 Andrew C. Potter , Takahiro Morimoto

We establish the theoretical foundation of the Floquet graphene antidot lattice, whereby massless Dirac fermions are driven periodically by a circularly polarized electromagnetic field, while having their motion excluded from an array of…

Mesoscale and Nanoscale Physics · Physics 2021-11-19 Andrew Cupo , Emilio Cobanera , James D. Whitfield , Chandrasekhar Ramanathan , Lorenza Viola

We propose a novel way of modulating exceptional topology by implementing Floquet engineering in non-hermitian (NH) systems. We introduce Floquet exceptional topological insulator which results from shining light on a conventional…

Mesoscale and Nanoscale Physics · Physics 2024-02-23 Gaurab Kumar Dash , Subhajyoti Bid , Manisha Thakurathi

We study the quench dynamics of a one-dimensional ultracold Fermi gas in an optical lattice potential with synthetic spin-orbit coupling. At equilibrium, the ground state of the system can undergo a topological phase transition and become a…

Quantum Gases · Physics 2015-01-20 Pei Wang , Wei Yi , Gao Xianlong

Floquet engineering, modulating quantum systems in a time periodic way, lies at the central part for realizing novel topological dynamical states. Thanks to the Floquet engineering, various new realms on experimentally simulating…

Quantum Physics · Physics 2022-07-13 Huan-Yu Wang , Xiao-Ming Zhao , Lin Zhuang , Wu-Ming Liu

Topological insulators host topology-linked boundary states, whose spin and charge degrees of freedom could be exploited to design topological devices with enhanced functionality. We experimentally observe that dissipationless chiral edge…

Quantum Physics · Physics 2022-07-26 Chao Chen , Xing Ding , Jian Qin , Jizhou Wu , Yu He , Chao-Yang Lu , Li Li , Xiong-Jun Liu , Barry C. Sanders , Jian-Wei Pan

We investigate the rich non-equilibrium physics arising in periodically driven open quantum systems, specifically those realized within microcavity resonators, whose dynamics are governed by a non-Hermitian Hamiltonian hosting Floquet…

Mesoscale and Nanoscale Physics · Physics 2026-02-20 Gaurab Kumar Dash , Subhendu Kumar Patra , Diptiman Sen , Manisha Thakurathi

Anomalous topological phases, where edge states coexist with topologically trivial Chern bands, can only appear in periodically driven lattices. When the driving is smooth and continuous, the bulk-edge correspondence is guaranteed by the…

Mesoscale and Nanoscale Physics · Physics 2024-08-23 Rabih El Sokhen , Álvaro Gómez-León , Albert F. Adiyatullin , Stéphane Randoux , Pierre Delplace , Alberto Amo

Topological insulators are unique physical structures that are insulators in their bulk, but support currents at their edges which can be unidirectional and topologically protected from scattering on disorder and inhomogeneities. Photonic…

Topological phases have recently witnessed a rapid progress in non-Hermitian systems. Here we study a one-dimensional non-Hermitian Aubry-Andr\'e-Harper model with imaginary periodic or quasiperiodic modulations. We demonstrate that the…

Mesoscale and Nanoscale Physics · Physics 2020-06-11 Qi-Bo Zeng , Yan-Bin Yang , Yong Xu

We consider topological phases in periodically driven (Floquet) systems exhibiting many-body localization, protected by a symmetry $G$. We argue for a general correspondence between such phases and topological phases of undriven systems…

Strongly Correlated Electrons · Physics 2016-05-19 Dominic V. Else , Chetan Nayak

Flat-band states in topological systems provide a unique platform for investigating strongly correlated phenomena and many body physics. However, in 2D static tight-binding systems, perfectly flat bands can only exist in the topologically…

Optics · Physics 2026-01-28 Bo Leng , Vien Van

Bulk-boundary correspondence is a fundamental principle for topological phases where bulk topology determines gapless boundary states. On the other hand, it has been known that corner or hinge modes in higher order topological insulators…

Mesoscale and Nanoscale Physics · Physics 2022-03-17 Takumi Bessho , Ken Mochizuki , Hideaki Obuse , Masatoshi Sato

We demonstrate that periodically driven quantum rotors provide a promising and broadly applicable platform to implement multi-gap topological phases, where groups of bands can acquire topological invariants due to non-Abelian braiding of…

Quantum Physics · Physics 2026-02-06 Volker Karle , Mikhail Lemeshko , Adrien Bouhon , Robert-Jan Slager , F. Nur Ünal

While Floquet engineering offers a powerful paradigm for manipulating topological phases, particularly Floquet Weyl semimetals, establishing an experimentally feasible strategy for tracking the dynamic evolution of such states remains a…

Materials Science · Physics 2026-03-31 Qingfeng Huang , Shengpu Huang , Tingyan Chen , Jing Fan , Dong-Hui Xu , Xiaozhi Wu , Da-Shuai Ma , Rui Wang