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This paper investigates the possibility of generating Floquet-time crystals in higher dimensions ($d\geq 2$) through the time-periodic driving of integrable free-fermionic models. The realization leads to rigid time-crystal phases that are…

强关联电子 · 物理学 2024-05-13 Rahul Chandra , Analabha Roy

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…

介观与纳米尺度物理 · 物理学 2019-09-04 Martin Rodriguez-Vega , Abhishek Kumar , Babak Seradjeh

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…

介观与纳米尺度物理 · 物理学 2025-06-10 Peng He , Jing-Xin Liu , Hong Wu , Z. D. Wang

Using the new periodicity concept based on shifts, we construct a unified Floquet theory for homogeneous and nonhomogeneous hybrid periodic systems on domains having continuous, discrete or hybrid structure. New periodicity concept based on…

动力系统 · 数学 2015-11-09 Murat Adivar , H. Can Koyuncuoğlu

Higher-order topological materials with topologically protected states at the boundaries of their boundaries (hinges or corners) have attracted attention in recent years. In this paper, we utilize time-periodic driving to generate…

介观与纳米尺度物理 · 物理学 2020-09-29 Raditya Weda Bomantara

Non-Abelian topological insulators are characterized by matrix-valued, non-commuting topological charges with regard to more than one energy gap. Their descriptions go beyond the conventional topological band theory, in which an additive…

介观与纳米尺度物理 · 物理学 2025-11-11 Jiaxin Pan , Longwen Zhou

We analyse quasi-periodically driven quantum systems that can be mapped exactly to periodically driven ones and find Floquet Time Spirals in analogy with spatially incommensurate spiral magnetic states. Generalising the mechanism to…

无序系统与神经网络 · 物理学 2019-10-09 Hongzheng Zhao , Florian Mintert , Johannes Knolle

We construct a class of period-$n$-tupling discrete time crystals based on $\mathbb{Z}_n$ clock variables, for all the integers $n$. We consider two classes of systems where this phenomenology occurs, disordered models with short-range…

We study transitions between distinct phases of one-dimensional periodically driven (Floquet) systems. We argue that these are generically controlled by infinite-randomness fixed points of a strong-disorder renormalization group procedure.…

无序系统与神经网络 · 物理学 2018-09-25 William Berdanier , Michael Kolodrubetz , S. A. Parameswaran , Romain Vasseur

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

Topological insulators represent unique phases of matter with insulating bulk and conducting edge or surface states, immune to small perturbations such as backscattering due to disorder. This stems from their peculiar band structure, which…

介观与纳米尺度物理 · 物理学 2013-10-01 Jérôme Cayssol , Balázs Dóra , Ferenc Simon , Roderich Moessner

We study if periodic driving of a model with a quasiperiodic potential can generate interesting Floquet phases which have no counterparts in the static model. Specifically, we consider the Aubry-Andr\'e model which is a one-dimensional…

无序系统与神经网络 · 物理学 2023-01-18 Sreemayee Aditya , K. Sengupta , Diptiman Sen

Topological phases characterized by non-Abelian charges have garnered increasing attention recently. Although Floquet (periodic-driving) higher-order topological phases have been explored at the single-particle level, the role of…

介观与纳米尺度物理 · 物理学 2025-08-22 Yujie Zhou , Changsen Li , Xiumei Wang , Xingping Zhou

We investigate the out-of-equilibrium properties of a system of interacting bosons in a ring lattice. We present a Floquet driving that induces clockwise (counterclockwise) circulation of the particles among the odd (even) sites of the ring…

量子气体 · 物理学 2019-10-16 Andrea Pizzi , Johannes Knolle , Andreas Nunnenkamp

Periodically driven systems, also known as Floquet systems, can realize symmetry protected topological (SPT) phases that cannot be found in equilibrium. Here, we seek to understand the effects of strong disorder on such SPT phases, working…

无序系统与神经网络 · 物理学 2015-12-15 Yuval Gannot

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…

量子气体 · 物理学 2020-10-28 Long Zhang , Lin Zhang , Xiong-Jun Liu

The spontaneous breaking of time translation symmetry in periodically driven Floquet systems can lead to a discrete time crystal. Here we study the occurrence of such dynamical phase in a driven-dissipative optomechanical system with two…

量子物理 · 物理学 2024-03-19 Dongni Chen , Zhengyang Peng , Jiahui Li , Stefano Chesi , Yingdan Wang

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…

介观与纳米尺度物理 · 物理学 2019-08-14 Kaoru Mizuta , Kazuaki Takasan , Norio Kawakami

Floquet systems display rich phenomena, such as time crystals, with many-body localisation (MBL) protecting the phases from heating. While several types of Floquet phases have been classified, a unified picture of Floquet MBL is still…

强关联电子 · 物理学 2025-12-19 Campbell McLauchlan , Vedant Motamarri , Benjamin Béri

Floquet topological matter has emerged as one exciting platform to explore rich physics and game-changing applications of topological phases. As one remarkable and recently discovered feature of Floquet symmetry protected topological (SPT)…

量子物理 · 物理学 2018-10-23 Raditya Weda Bomantara , Jiangbin Gong