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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

The Su-Schrieffer-Heeger model of polyacetylene is a paradigmatic Hamiltonian exhibiting non-trivial edge states. By using Floquet theory we study how the spectrum of this one-dimensional topological insulator is affected by a…

Mesoscale and Nanoscale Physics · Physics 2015-12-01 V. Dal Lago , M. Atala , L. E. F. Foa Torres

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

We theoretically investigate a practically realizable Floquet topological superconductor model, based on a one-dimensional Rashba nanowire and proximity induced $s$-wave superconductivity in the presence of a Zeeman field. The driven system…

Mesoscale and Nanoscale Physics · Physics 2023-02-08 Debashish Mondal , Arnob Kumar Ghosh , Tanay Nag , Arijit Saha

We study a dynamical phase transition in optical bistable systems subject to a time-periodic driving field. The phase transition occurs in the structure of limit cycle as a function of the frequency of the driving field. In the…

Statistical Mechanics · Physics 2020-01-13 Tatsuhiko Shirai , Synge Todo , Seiji Miyashita

Floquet topological insulators have been widely investigated in lower-dimensional systems. However, Floquet topological insulators induced by time-periodic driving in higher-dimensional systems remain unexplored. In this work, we study the…

Mesoscale and Nanoscale Physics · Physics 2024-03-11 Zheng-Rong Liu , Rui Chen , Bin Zhou

Using two-frequency driving in two dimensions opens up new possibilites for Floquet engineering, which range from controlling specific symmetries to tuning the properties of resonant gaps. In this work, we study two-band lattice models…

Quantum Gases · Physics 2023-04-19 Yixiao Wang , Anne-Sophie Walter , Gregor Jotzu , Konrad Viebahn

Driven Floquet systems can realize topological phases with no static counterparts. These so-called anomalous Floquet topology breaks the bulk-boundary correspondence based on the Chern number. The number of edge modes in each band gap is…

Mesoscale and Nanoscale Physics · Physics 2026-03-27 Luca Asteria , Klaus Sengstock , André Eckardt , Christof Weitenberg

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

The double kicked rotor model is a physically realizable extension of the paradigmatic kicked rotor model in the study of quantum chaos. Even before the concept of Floquet topological phases became widely known, the discovery of the…

Quantum Gases · Physics 2018-07-03 Longwen Zhou , Jiangbin Gong

Periodically driven systems provide a powerful platform for quantum multiparameter estimation. Constructing a static effective Hamiltonian in a proper rotating frame is commonly employed to assess the attainable precision. However, such an…

Quantum Physics · Physics 2026-05-28 Yu Yang , Yuyang Tang , Pei Zhang , Fuli Li

Recent theoretical work on time-periodically kicked Hofstadter model found robust counter-propagating edge modes. It remains unclear how ubiquitously such anomalous modes can appear, and what dictates their robustness against disorder. Here…

Quantum Gases · Physics 2014-11-13 Zhenyu Zhou , Indubala I. Satija , Erhai Zhao

We investigate Floquet Topological Insulators in the presence of spatially-modulated light. We extend on previous work to show that light can be used to generate and control localized modes in the bulk of these systems. We provide examples…

Strongly Correlated Electrons · Physics 2014-05-06 Yaniv Tenenbaum Katan , Daniel Podolsky

We explore topological edge states in periodically driven nonlinear systems. Based on a self-consistency method adjusted to periodically driven systems, we obtain stationary states associated with topological phases unique to Floquet…

Pattern Formation and Solitons · Physics 2025-01-10 Ken Mochizuki , Kaoru Mizuta , Norio Kawakami

Periodic driving of a quantum system can significantly alter its energy bands and even change the band topology, opening a completely new avenue for engineering novel quantum matter. Although important progress has been made recently in…

Recently, anomalous Floquet topological phases without static counterparts have been observed in different systems, where periodically driven models are realized to support a winding number of 1 and a pair of edge modes in each quasienergy…

Quantum Gases · Physics 2024-03-20 Kaiye Shi , Xiang Zhang , Wei Zhang

We consider a Floquet triple-layer setup composed of a two-dimensional electron gas with spin-orbit interactions, proximity coupled to an s-wave superconductor and to a ferromagnet driven at resonance. The ferromagnetic layer generates a…

Mesoscale and Nanoscale Physics · Physics 2019-11-06 Kirill Plekhanov , Manisha Thakurathi , Daniel Loss , Jelena Klinovaja

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

We demonstrate the photonic Floquet topological insulator (PFTI) in an atomic vapor with nonlinear susceptibilities. The interference of three coupling fields splits the energy levels periodically to form a periodic refractive index…

We consider a quantum system periodically driven with a strength which varies slowly on the scale of the driving period. The analysis is based on a general formulation of the Floquet theory relying on the extended Hilbert space. It is shown…

Quantum Gases · Physics 2017-02-22 Viktor Novičenko , Egidijus Anisimovas , Gediminas Juzeliūnas