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We theoretically study laser driven nonequilibrium states in the Kitaev honeycomb model with a magnetoelectric cross coupling. We show that a topological spin liquid with a gapless chiral edge mode emerges when we apply an elliptically or…

Strongly Correlated Electrons · Physics 2014-04-09 Masahiro Sato , Yuki Sasaki , Takashi Oka

We experimentally observe a coexisting pair of topological anomalous Floquet interface states in a (1+1)-dimensional Discrete Photon Walk. We explicitly verify the robustness of these states against local static perturbations respecting…

Optics · Physics 2020-11-18 Arstan Bisianov , Andre Muniz , Ulf Peschel , Oleg Egorov

Constructing systems that exhibit time-scales much longer than those of the underlying components, as well as emergent dynamical and collective behavior, is a key goal in fields such as synthetic biology and materials self-assembly.…

Statistical Mechanics · Physics 2021-07-22 Evelyn Tang , Jaime Agudo-Canalejo , Ramin Golestanian

Periodically driven quantum systems can exhibit subharmonic response, usually characterized through physical observables and often discussed in interacting settings. Here we show that a sharp subharmonic signature already appears in the…

Quantum Physics · Physics 2026-04-28 Rishabh Jha

Periodically driven (Floquet) systems have been under active theoretical and experimental investigations. This paper aims at a systematic study in the following aspects of Floquet systems: (i) A systematic formulation of topological…

Strongly Correlated Electrons · Physics 2017-11-15 Shunyu Yao , Zhongbo Yan , Zhong Wang

Results are presented for Floquet systems in two spatial dimensions where the Floquet driving breaks an effective time reversal symmetry. The driving protocol also induces flat bands that correspond to anomalous Floquet phases where the…

Mesoscale and Nanoscale Physics · Physics 2022-07-15 Ceren B. Dag , Aditi Mitra

In this work, we reported a ubiquitous presence of topological Floquet time crystal (TFTC) in one-dimensional periodically-driven systems. The rigidity and realization of spontaneous discrete time-translation symmetry (DTS) breaking in our…

Optics · Physics 2020-11-25 Yiming Pan , Bing Wang

Under the action of a weak constant force a wavepacket in periodic potential undergoes periodic oscillations in space, returning to the initial position after one oscillation cycle. This wave phenomenon, known as Bloch oscillations (BOs),…

Mesoscale and Nanoscale Physics · Physics 2019-06-05 Chunyan Li , Weifeng Zhang , Yaroslav V. Kartashov , Dmitry V. Skryabin , Fangwei Ye

High intensity coherent light can dress matter, realizing new hybrid phases that are not accessible in equilibrium. This effect results from the coherent interaction between Bloch states inside the solid and the periodic field of impinging…

Strongly Correlated Electrons · Physics 2025-02-18 F. Chassot , G. Kremer , A. Pulkkinen , C. Wang , J. Krempasky , J. Minar , G. Springholz , M. Puppin , J. H. Dil , C. Monney

Topological photonics holds the promise for enhanced robustness of light localization and propagation enabled by the global symmetries of the system. While traditional designs of topological structures rely on lattice symmetries, there is…

Graphene subject to a spatially uniform, circularly-polarized electric field supports a Floquet spectrum with properties akin to those of a topological insulator, including non-vanishing Chern numbers associated with bulk bands and…

Mesoscale and Nanoscale Physics · Physics 2015-05-28 Zhenghao Gu , H. A. Fertig , Daniel P. Arovas , Assa Auerbach

Topological dislocations in otherwise periodic lattices represent global structural defects that, nevertheless, typically leave the lattice periodicity intact far from the dislocation. Such dislocations arise in diverse physical systems…

A topological insulator is regarded as an ideal candidate for information storage and high-speed lossless electrical transmission devices due to robust topological protected boundary modes. Previous studies revealed that symmetry exerts an…

Mesoscale and Nanoscale Physics · Physics 2026-01-06 Ming-Jian Gao , Jun-Hong An

Periodically driven noninteracting systems may exhibit anomalous chiral edge modes, despite hosting bands with trivial topology. We find that these drives have surprising many-body analogs, corresponding to class A, which exhibit anomalous…

Strongly Correlated Electrons · Physics 2017-03-28 Fenner Harper , Rahul Roy

Our aim in this paper is twofold. Firstly, we develop a new asymptotic theory for Floquet exponents. We consider a linear system of differential equations with a time-periodic coefficient matrix. Assuming that the coefficient matrix depends…

Analysis of PDEs · Mathematics 2021-10-18 Habib Ammari , Erik Orvehed Hiltunen , Thea Kosche

We experimentally realized a time-periodically modulated 1D lattice for ultracold atoms featuring a pair of linear bands, each associated with a Floquet winding number: a topological invariant. These bands are spin-momentum locked and…

Quantum Gases · Physics 2022-08-31 Mingwu Lu , G. H. Reid , A. R. Fritsch , A. M. Piñeiro , I. B. Spielman

We propose a system that exploits the fundamental features of topological photonics and synthetic dimensions to force many semiconductor laser resonators to synchronize, mutually lock, and under suitable modulation emit a train of…

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

In spatiotemporally modulated systems, topological states exist not only in energy gaps but also in momentum gaps. Such unconventional topological states impose challenges on topological physics. The underlying models also make the…

Mesoscale and Nanoscale Physics · Physics 2024-09-17 Weiwei Zhu , Jian-Hua Jiang

Floquet topological insulators describe independent electrons on a lattice driven out of equilibrium by a time-periodic Hamiltonian, beyond the usual adiabatic approximation. In dimension two such systems are characterized by integer-valued…

Mathematical Physics · Physics 2018-03-05 Gian Michele Graf , Clément Tauber
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