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Energy or quasienergy (QE) band spectra depending on two parameters may have a nontrivial topological characterization by Chern integers. Band spectra of 1D systems that are spanned by just one parameter, a Bloch phase, are topologically…

Mesoscale and Nanoscale Physics · Physics 2017-10-02 Itzhack Dana

Periodically driven systems offer a perfect breeding ground for out-of-equilibrium engineering of topological boundary states at zero energy ($0$-mode), as well as finite energy ($\pi$-mode), with the latter having no static analog. The…

Mesoscale and Nanoscale Physics · Physics 2024-12-18 Arnob Kumar Ghosh , Rodrigo Arouca , Annica M. Black-Schaffer

Ultracold atomic gas provides a useful tool to explore many-body physics. One of the recent additions to this experimental toolbox is the Floquet engineering, where periodic modulation of the Hamiltonian allows the creation of effective…

The Floquet Hamiltonian has often been used to describe a time-periodic system. Nevertheless, because the Floquet Hamiltonian depends on a micro-motion parameter, the Floquet Hamiltonian with a fixed micro-motion parameter cannot faithfully…

Quantum Physics · Physics 2022-03-04 Peng Xu , Wei Zheng , Hui Zhai

Integer-valued topological indices, characterizing nonlocal properties of quantum states of matter, are known to directly predict robust physical properties of equilibrium systems. The Chern number, e.g., determines the quantized Hall…

Despite intense interest in realizing topological phases across a variety of electronic, photonic and mechanical platforms, the detailed microscopic origin of topological behavior often remains elusive. To bridge this conceptual gap, we…

Mesoscale and Nanoscale Physics · Physics 2018-02-16 Ching Hua Lee , Guangjie Li , Guliuxin Jin , Yuhan Liu , Xiao Zhang

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

The interplay between Floquet driving and non-Hermitian gain/loss could give rise to intriguing phenomena including topological funneling of light, edge-state delocalization, anomalous topological transitions and Floquet non-Hermitian skin…

Applied Physics · Physics 2026-03-17 Weiwei Zhu , Longwen Zhou , Linhu Li , Jiangbin Gong

Novel topological properties that arose in the periodically driven system are unique, in which there are two kinds of quasienergy gaps, the zero quasienergy gap and the $\pi$ quasienergy gap. The corresponding edge modes would traverse…

Mesoscale and Nanoscale Physics · Physics 2023-11-08 Fei Yang , Zheng Wei , TianMeng Li , Su-Peng Kou

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

"Floquet engineering" - designing band structures "on-demand" through the application of coherent time-periodic drives - has recently emerged as a powerful tool for creating new topological and anomalous phases of matter. In this…

Strongly Correlated Electrons · Physics 2021-09-16 Iliya Esin , Gaurav Kumar Gupta , Erez Berg , Mark S. Rudner , Netanel H. Lindner

The conventional characterization of periodically driven systems usually necessitates the time-domain information beyond Floquet bands, hence lacking universal and direct schemes of measuring Floquet topological invariants. Here we propose…

Quantum Gases · Physics 2020-10-28 Long Zhang , Lin Zhang , Xiong-Jun Liu

Having the potential for performing quantum computation, topological superconductors have been generalized to the second-order case. The hybridization of different orders of topological superconductors is attractive because it facilitates…

Superconductivity · Physics 2023-06-19 Hong Wu , Jun-Hong An

Subjecting a physical system to a time-periodic drive can substantially modify its properties and applications. This Floquet-engineering approach has been extensively applied to a wide range of classical and quantum settings in view of…

Optics · Physics 2023-11-21 Nathan Goldman

Periodically driven (Floquet) phases are attractive due to their ability to host unique physical phenomena with no static counterparts. We propose a general approach in nontrivially devising a square-root version of existing Floquet phases,…

Mesoscale and Nanoscale Physics · Physics 2022-08-25 Raditya Weda Bomantara

Quantum Hall systems are characterized by the quantization of the Hall conductance -- a bulk property rooted in the topological structure of the underlying quantum states. In condensed matter devices, material imperfections hinder a direct…

Topological theories have established a new set of rules that govern the transport properties in a wide variety of wave-mechanical settings. In a marked departure from the established approaches that induce Floquet topological phases by…

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

Floquet engineering of topological phase transitions driven by a high-frequency time-periodic field is a promising approach to realizing new topological phases of matter distinct from static states. Here, we theoretically investigate…

Mesoscale and Nanoscale Physics · Physics 2025-01-20 Kok Wai Lee , Mateo Jalen Andrew Calderon , Xiang-Long Yu , Ching Hua Lee , Yee Sin Ang , Pei-Hao Fu

We theoretically propose how to observe topological effects in a generic classical system of coupled harmonic oscillators, such as classical pendula or lumped-element electric circuits, whose oscillation frequency is modulated fast in time.…

Mesoscale and Nanoscale Physics · Physics 2016-02-04 Grazia Salerno , Tomoki Ozawa , Hannah M. Price , Iacopo Carusotto
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