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Topological states of matter in equilibrium, as well as out of equilibrium, have been thoroughly investigated during the last years in condensed-matter and cold-atom systems. However, the geometric topology of the studied samples is usually…

Mesoscale and Nanoscale Physics · Physics 2015-07-10 A. Quelle , W. Beugeling , C. Morais Smith

In this work, we study a space-time modulated electro-mechanical system, consisting of an array of coupled cantilevers with their on-site potential provided by electromagnets driven by AC currents. Model equations are derived, and the…

Pattern Formation and Solitons · Physics 2026-04-01 Masayuki Kimura , Juan F. R. Archilla , Yusuke Doi , Víctor J. Sánchez-Morcillo

Recently, several authors have investigated topological phenomena in periodically-driven systems of non-interacting particles. These phenomena are identified through analogies between the Floquet spectra of driven systems and the band…

Mesoscale and Nanoscale Physics · Physics 2013-07-26 Mark S. Rudner , Netanel H. Lindner , Erez Berg , Michael Levin

We report the theoretical discovery and characterization of higher-order Floquet topological phases dynamically generated in a periodically driven system with mirror symmetries. We demonstrate numerically and analytically that these phases…

Mesoscale and Nanoscale Physics · Physics 2019-09-04 Martin Rodriguez-Vega , Abhishek Kumar , Babak Seradjeh

With significant advances in classifying and cataloguing topological matter, the focus of topological physics has shifted towards quantum control, particularly the creation and manipulation of topological phases of matter. Floquet…

Computational Physics · Physics 2024-09-10 Fangyang Zhan , Rui Chen , Zhen Ning , Da-Shuai Ma , Ziming Wang , Dong-Hui Xu , Rui Wang

We consider a periodically $\delta$-kicked Haldane type Chern insulator with the kicking applied in the $\hat{z}$ direction. This is known to behave as an inversion symmetry breaking perturbation, since it introduces a time-dependent…

Mesoscale and Nanoscale Physics · Physics 2018-02-14 Tridev Mishra , Anurag Pallaprolu , Tapomoy Guha Sarkar , Jayendra N. Bandyopadhyay

Periodically driven quantum systems, known as Floquet systems, provide a versatile platform for engineering novel topological phases absent in static settings. However, dynamically characterizing these non-equilibrium topological invariants…

Quantum Physics · Physics 2026-05-08 Xin Shen , Bing Lu , Yan-Qing Zhu

Within the Floquet theory of periodically driven quantum systems, we demonstrate that a high-frequency electromagnetic field can be used as an effective tool to control excitonic properties of semiconductor quantum dots (QDs). It is shown,…

Mesoscale and Nanoscale Physics · Physics 2022-04-14 I. V. Iorsh , D. A. Zezyulin , S. A. Kolodny , R. E. Sinitsky , O. V. Kibis

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 study the recent Floquet-realisation of the Harper-Hofstadter model in a gas of cold bosonic atoms. We study in detail the scattering processes in this system in the weakly interacting regime due to the interplay of particle interactions…

Quantum Gases · Physics 2015-06-17 Thomas Bilitewski , Nigel R. Cooper

We propose a possible mechanism of topological Hall effect in inhomogeneous superconducting states. In our scenario, the Berry phase effect associated with spatially modulated superconducting order parameter gives rise to a fictitious…

Superconductivity · Physics 2014-11-21 Satoshi Fujimoto

The emergence of non equilibrium topological phases in low dimensional systems offers an interesting route for material properties engineering. We analyze the dynamical modulation of two coupled one-dimensional chains, described by the…

Mesoscale and Nanoscale Physics · Physics 2022-03-30 Carla Borja , Esther Gutiérrez , Alexander López

Non-Hermitian Hamiltonians provide a simple picture for analyzing systems with natural or induced gain and loss; however, in general, such Hamiltonians feature complex energies and a corresponding non-orthonormal eigenbasis. Provided that…

Quantum Physics · Physics 2020-07-01 Andrew K. Harter , Naomichi Hatano

Synchronization is a ubiquitous scientific phenomenon in various physical systems. Here, we examine the feasibility of generating multistable and dynamically tunable synchronization by using the technique of Floquet engineering. Applying a…

Mesoscale and Nanoscale Physics · Physics 2025-03-04 Motoki Asano , Hajime Okamoto , Hiroshi Yamaguchi

We study the many-body physics in twisted bilayer graphene coupled to periodic driving of a circularly polarized light when electron-electron interactions are taken into account. In the limit of high driving frequency $\Omega$, we use…

Strongly Correlated Electrons · Physics 2023-10-11 Peng-Sheng Hu , Yi-Han Zhou , Zhao Liu

Higher-order topological phases (HOTPs) possess localized and symmetry-protected eigenmodes at corners and along hinges in two and three dimensional lattices. The numbers of these topological boundary modes will undergo quantized changes at…

Quantum Physics · Physics 2025-04-25 Longwen Zhou , Rongtao Wang , Jiaxin Pan

In a recent paper [Phys. Rev. Lett. 112 156801 (2014)], Grushin et al. studied a Fermi-Hubbard-model for spinful electrons on a honeycomb lattice coupled to an external polarized electric field. By computing the Floquet Hamiltonian…

Strongly Correlated Electrons · Physics 2014-12-12 Luca D'Alessio

We introduce the magnonic Floquet Hofstadter butterfly in the two-dimensional insulating honeycomb ferromagnet. We show that when the insulating honeycomb ferromagnet is irradiated by an oscillating space- and time-dependent electric field,…

Strongly Correlated Electrons · Physics 2018-10-29 S. A. Owerre

Backscattering-immune chiral modes arise along certain line defects in three-dimensional materials. In this paper, we study Floquet chiral modes along Floquet topological defects, namely, the defects come entirely from spatial modulations…

Strongly Correlated Electrons · Physics 2017-09-05 Ren Bi , Zhongbo Yan , Ling Lu , Zhong Wang

We propose a scheme to realize a topological insulator with optical-passive elements, and analyze the effects of Kerr-nonlinearities in its topological behavior. In the linear regime, our design gives rise to an optical spectrum with…

Quantum Physics · Physics 2022-06-01 T. Shi , H. J. Kimble , J. I. Cirac