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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 study the bulk and edge properties of a driven Kitaev chain, where the driving is performed as instantaneous quenches of the on-site energies. We identify three periodic driving regimes: low period, which is equivalent to a static model,…

Superconductivity · Physics 2019-01-08 Tilen Cadez , Rubem Mondaini , Pedro D. Sacramento

Characterizing time-periodic Hamiltonians is pivotal for validating and controlling driven quantum platforms, yet prevailing and unadjusted reconstruction methods demand dense time-domain sampling and heavy post-processing. We introduce a…

Quantum Physics · Physics 2025-09-03 Keren Li

Signaled by non-analyticities in the time evolution of physical observables, dynamic quantum phase transitions (DQPTs) emerge in quench dynamics of topological systems and possess an interesting geometric origin captured by dynamic…

Quantum Physics · Physics 2019-01-23 Kunkun Wang , Xingze Qiu , Lei Xiao , Xiang Zhan , Zhihao Bian , Wei Yi , Peng Xue

We review methods for using time-periodic fields (e.g., laser or microwave fields) to induce non-equilibrium topological phenomena in quantum many-body systems. We discuss how such fields can be used to change the topological properties of…

Mesoscale and Nanoscale Physics · Physics 2020-08-17 Mark S. Rudner , Netanel H. Lindner

We discuss several classes of integrable Floquet systems, i.e. systems which do not exhibit chaotic behavior even under a time dependent perturbation. The first class is associated with finite-dimensional Lie groups and infinite-dimensional…

Statistical Mechanics · Physics 2018-04-20 Vladimir Gritsev , Anatoli Polkovnikov

Periodically-driven systems engender a rich competition between the time scales of the drives and those of the system, leading to a limited ability to describe the system in full. We present a framework for the description of interacting…

Quantum Physics · Physics 2025-02-25 Kilian Seibold , Orjan Ameye , Oded Zilberberg

Open quantum systems can display periodic dynamics at the classical level either due to external periodic modulations or to self-pulsing phenomena typically following a Hopf bifurcation. In both cases, the quantum fluctuations around…

Quantum Physics · Physics 2021-02-24 C. Navarrete-Benlloch , R. Garcés , N. Mohseni , G. J. de Valcárcel

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

This work provides a convenient and powerful means towards the engineering of Floquet bands via Bloch oscillations, by adding a tilted linear potential to periodically driven lattice systems. The added linear field not only restricts the…

Quantum Physics · Physics 2023-01-04 Xi Liu , Senmao Tan , Qing-hai Wang , Longwen Zhou , Jiangbin Gong

Floquet dynamics of a quantum system subject to periodic modulations of system parameters provide a powerful tool for engineering new quantum matter with exotic properties. While system dynamics are significantly altered, the periodic…

Quantum Gases · Physics 2018-07-02 Xi-Wang Luo , Chuanwei Zhang

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

Topological states of matter in non-Hermitian systems have attracted a lot of attention due to their intriguing dynamical and transport properties. In this study, we propose a periodically driven non-Hermitian lattice model in…

Mesoscale and Nanoscale Physics · Physics 2018-11-28 Longwen Zhou , Jiangbin Gong

We study micromotion in two-dimensional periodically driven systems in which all bulk Floquet eigenstates are localized by disorder. We show that this micromotion gives rise to a quantized time-averaged magnetization density when the system…

Mesoscale and Nanoscale Physics · Physics 2017-11-08 Frederik Nathan , Mark S. Rudner , Netanel H. Lindner , Erez Berg , Gil Refael

The topological orders in amorphous systems that lack crystalline symmetry have gained considerable attention recently. Here we propose the Floquet amorphous topological matter, among which the topological orders are explored in…

Mesoscale and Nanoscale Physics · Physics 2025-06-10 Peng He , Jing-Xin Liu , Hong Wu , Z. D. Wang

The features of topological physics can manifest in a variety of physical systems in distinct ways. Periodically driven systems, with the advantage of high flexibility and controllability, provide a versatile platform to simulate many…

Quantum Physics · Physics 2022-05-06 Qianqian Chen , Haibin Liu , Min Yu , Shaoliang Zhang , Jianming Cai

Clean and interacting periodically driven quantum systems are believed to exhibit a single, trivial "infinite-temperature" Floquet-ergodic phase. In contrast, here we show that their disordered Floquet many-body localized counterparts can…

Disordered Systems and Neural Networks · Physics 2016-08-23 Vedika Khemani , Achilleas Lazarides , Roderich Moessner , S. L. Sondhi

In two dimensions, interacting Floquet topological phases may arise even in the absence of any protecting symmetry, exhibiting chiral edge transport that is robust to local perturbations. We explore a similar class of Floquet topological…

Strongly Correlated Electrons · Physics 2018-07-25 Dominic Reiss , Fenner Harper , Rahul Roy

Periodically-driven or Floquet systems can realize anomalous topological phenomena that do not exist in any equilibrium states of matter, whose classification and characterization require new theoretical ideas that are beyond the…

Mesoscale and Nanoscale Physics · Physics 2020-10-27 Rui-Xing Zhang , Zhi-Cheng Yang

While periodically-driven phases offer a unique insight into non-equilibrium topology that is richer than its static counterpart, their experimental realization is often hindered by ubiquitous decoherence effects. Recently, we have proposed…

Mesoscale and Nanoscale Physics · Physics 2022-04-20 Selma Franca , Fabian Hassler , Ion Cosma Fulga