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Periodically driven systems provide a novel route to control the topology of quantum materials. In particular, Floquet theory allows an effective band description of periodically-driven systems through the Floquet Hamiltonian. Here, we…

强关联电子 · 物理学 2024-03-20 Takahiro Anan , Takahiro Morimoto , Sota Kitamura

Floquet time crystal, which breaks discrete time-translation symmetry, is an intriguing phenomenon in non-equilibrium systems. It is crucial to understand the rigidity and robustness of discrete time crystal (DTC) phases in a many-body…

量子气体 · 物理学 2023-05-16 Peng Xu , Tian-Shu Deng

Floquet spin chains have been a venue for understanding topological states of matter that are qualitatively different from their static counterparts by, for example, hosting $\pi$ edge modes that show stable period-doubled dynamics. However…

强关联电子 · 物理学 2022-02-24 Daniel J. Yates , Alexander G. Abanov , Aditi Mitra

We present a Floquet framework for controlling topological features of a one-dimensional optical lattice system with dual-mode resonant driving, in which both the amplitude and phase of the lattice potential are modulated simultaneously. We…

量子气体 · 物理学 2024-09-20 Dalmin Bae , Junyoung Park , Myeonghyeon Kim , Haneul Kwak , Junhwan Kwon , Yong-il Shin

Recent progresses on Floquet topological phases have shed new light on time-dependant quantum systems, among which one-dimensional (1D) Floquet systems have been under extensive theoretical research. However, an unambiguous experimental…

In the present work, we revisit a recently proposed and experimentally realized topological 2D lattice with periodically time-dependent interactions. We identify the fundamental solitons, previously observed in experiments and direct…

斑图形成与孤子 · 物理学 2022-04-26 Ross Parker , Jesús Cuevas-Maraver , P. G. Kevrekidis , Alejandro Aceves

We report on the theoretical investigation of the topological properties of a periodically quenched one-dimensional dimerized lattice where a piece-wise constant Hamiltonian switches from $h_1$ to $h_2$ at a partition time $t_p$ within each…

介观与纳米尺度物理 · 物理学 2022-12-28 Milad Jangjan , Luis E. F. Foa Torres , Mir Vahid Hosseini

We present a method for simulating any non-interacting and time-periodic tight-binding Hamiltonian in Fourier space using electric circuits made of inductors and capacitors. We first map the time-periodic Hamiltonian to a Floquet…

介观与纳米尺度物理 · 物理学 2023-12-06 S. Sajad Dabiri , H. Cheraghchi

Nonequilibrium topological matter has been a fruitful topic of both theoretical and experimental interest. A great variety of exotic topological phases unavailable in static systems may emerge under nonequilibrium situations, often…

介观与纳米尺度物理 · 物理学 2022-04-06 Nannan Ma , Jiangbin Gong

The theoretical analysis of topological insulators (TIs) has been traditionally focused on infinite homogeneous crystals with band gap in the bulk and nontrivial topology of their wavefunctions, or infinite wires whose boundaries host…

介观与纳米尺度物理 · 物理学 2020-09-21 Utkarsh Bajpai , Mark J. H. Ku , Branislav K. Nikolic

The periodic driving of a quantum system can enable new topological phases without analogs in static systems. This provides a route towards preparing non-equilibrium quantum phases rooted into the non-equilibrium nature by periodic driving…

强关联电子 · 物理学 2020-07-22 Yufei Zhu , Tao Qin , Xinxin Yang , Gao Xianlong , Zhaoxin Liang

We dedicate this paper to the topological analysis of subwavelength solutions in Floquet metamaterials. This work should be considered as a basis for further investigation on whether topological properties of the bulk materials are linked…

偏微分方程分析 · 数学 2022-09-09 Habib Ammari , Thea Kosche

The topological properties of electronic edge states in time-periodically driven spatially-periodic corrugated zigzag graphene nanoribbons are studied. An effective one-dimensional Hamiltonian is used to describe the electronic properties…

介观与纳米尺度物理 · 物理学 2017-12-25 Pedro Roman-Taboada , Gerardo G. Naumis

We analyze the existence, stability, and internal modes of gap solitons in nonlinear periodic systems described by the nonlinear Schrodinger equation with a sinusoidal potential, such as photonic crystals, waveguide arrays,…

斑图形成与孤子 · 物理学 2007-05-23 Dmitry E. Pelinovsky , Andrey A. Sukhorukov , Yuri S. Kivshar

Higher-order topological phases are characterized by protected states localized at the corners or hinges of the system. By applying time-periodic quenches to a two-dimensional lattice with balanced gain and loss, we obtain a rich variety of…

介观与纳米尺度物理 · 物理学 2020-09-23 Jiaxin Pan , Longwen Zhou

Dynamical radiation pressure effects in cavity optomechanical systems give rise to self-sustained oscillations or `phonon lasing' behavior, producing stable oscillators up to GHz frequencies in nanoscale devices. Like in photonic lasers,…

Time-periodic (Floquet) drive can give rise to novel symmetry breaking and topological phases of matter. Recently, we showed that a quintessential Floquet topological phase known as the anomalous Floquet-Anderson insulator is stable to…

介观与纳米尺度物理 · 物理学 2022-07-14 Peng Peng Zheng , Christopher I. Timms , Michael H. Kolodrubetz

Floquet higher order topological insulators (FHOTIs) are a novel topological phase that can occur in periodically driven lattices. An appropriate experimental platform to realize FHOTIs has not yet been identified. We introduce a…

介观与纳米尺度物理 · 物理学 2021-01-13 Weiwei Zhu , Y. D. Chong , Jiangbin Gong

We introduce a driven-dissipative Floquet model in which a single harmonic oscillator, with both frequency and decay rate modulated, realizes a non-Hermitian synthetic lattice with an effective electric-field gradient in frequency space.…

We consider a system of dynamically-modulated photonic resonator lattice undergoing photonic transition, and show that in the ultra-strong coupling regime such a lattice can exhibit non-trivial topological properties, including…

光学 · 物理学 2015-11-17 Luqi Yuan , Shanhui Fan