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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…

统计力学 · 物理学 2018-04-20 Vladimir Gritsev , Anatoli Polkovnikov

Floquet engineering is an important tool for realizing topologically nontrivial band structures for charge-neutral atoms in optical lattices. However, the preparation of a topological-band-insulator-type state of fermions, with one…

量子气体 · 物理学 2024-08-14 Alexander Schnell , Christof Weitenberg , André Eckardt

Topological materials have potential applications for quantum technologies. Non-interacting topological materials, such as e.g., topological insulators and superconductors, are classified by means of fundamental symmetry classes. It is…

强关联电子 · 物理学 2021-07-14 Titas Chanda , Rebecca Kraus , Giovanna Morigi , Jakub Zakrzewski

With significant advances in classifying and cataloguing topological matter, the focus of topological physics has shifted towards quantum control, particularly the creation and manipulation of topological phases of matter. Floquet…

计算物理 · 物理学 2024-09-10 Fangyang Zhan , Rui Chen , Zhen Ning , Da-Shuai Ma , Ziming Wang , Dong-Hui Xu , Rui Wang

We propose a simple scheme for the realization of a topological quasienergy band structure with ultracold atoms in a periodically driven optical square lattice. It is based on a circular lattice shaking in the presence of a superlattice…

量子气体 · 物理学 2016-08-10 Mantas Račiūnas , Giedrius Žlabys , André Eckardt , Egidijus Anisimovas

Nodal-line semimetals are commonly believed to exist in $\mathcal{PT}$ symmetric or mirror-rotation symmetric systems. Here, we find a flux-induced parameter-dimensional second-order nodal-line semimetal (SONLS) in a two-dimensional system…

介观与纳米尺度物理 · 物理学 2023-12-11 Ming-Jian Gao , Jun-Hong An

Cluster states were introduced in the context of measurement based quantum computing. In one dimension, the cluster Hamiltonian possesses topologically protected states. We investigate the Floquet dynamics of the cluster spin chain in an…

量子物理 · 物理学 2023-02-10 Alberto D. Verga

Periodic driving provides a platform to dynamically tailor quantum states of matter, yet its impact on symmetry-protected topological phases remains incompletely understood. Here, we demonstrate that periodic driving enables the realization…

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…

量子气体 · 物理学 2026-04-08 Pengju Zhao , Yudong Wei , Zhongshu Hu , Shengjie Jin , Xuzong Chen , Xiong-jun Liu

Exploring novel topological matters with exotic quantum states has always been a core issue in the field of condensed matter physics, which can update the understanding of topological phases and broaden the classification of topological…

介观与纳米尺度物理 · 物理学 2025-12-09 Wei Jia , Yuping Tian , Huanhuan Yang , Xiangru Kong , Zhi-Hao Huang , Wei-Jiang Gong , Jun-Hong An

We study the open system dynamics and steady states of two dimensional Floquet topological insulators: systems in which a topological Floquet-Bloch spectrum is induced by an external periodic drive. We solve for the bulk and edge state…

介观与纳米尺度物理 · 物理学 2018-06-13 Iliya Esin , Mark S. Rudner , Gil Refael , Netanel H. Lindner

We study dynamical quantum phase transitions (DQPTs) in the extended Bose-Hubbard model after a sudden quench of the nearest-neighbor interaction strength. Using the time-dependent density matrix renormalization group, we demonstrate that…

量子气体 · 物理学 2023-05-03 Sebastian Stumper , Michael Thoss , Junichi Okamoto

Topological properties of physical systems can lead to robust behaviors that are insensitive to microscopic details. Such topologically robust phenomena are not limited to static systems but can also appear in driven quantum systems. In…

介观与纳米尺度物理 · 物理学 2010-12-14 Takuya Kitagawa , Erez Berg , Mark Rudner , Eugene Demler

An iterative algorithm is established which enables one to compute individual Floquet states even for many-body systems with high-dimensional Hilbert spaces that are not accessible to commonly employed conventional methods. A strategy is…

量子气体 · 物理学 2021-11-29 Nils Krüger , Martin Holthaus

Time-periodic (Floquet) drive is a powerful method to engineer quantum phases of matter, including fundamentally non-equilibrium states that are impossible in static Hamiltonian systems. One characteristic example is the anomalous Floquet…

量子气体 · 物理学 2022-01-12 Christopher I. Timms , Lukas M. Sieberer , Michael H. Kolodrubetz

The manipulation of the helical edge states of two-dimensional topological insulators is crucial for the development of technological applications. Recently, an important step forward, namely, the experimental realization of a quantum point…

介观与纳米尺度物理 · 物理学 2020-07-28 C. Fleckenstein , N. Traverso Ziani , L. Privitera , M. Sassetti , B. Trauzettel

Two-dimensional periodically-driven topological insulators have been shown to exhibit numerous topological phases, including ones which have no static analog, such as anomalous Floquet topological phases. We study a two dimensional model of…

介观与纳米尺度物理 · 物理学 2022-02-25 Balaganchi A. Bhargava , Sanjib Kumar Das , Ion Cosma Fulga

We show that scattering from the boundary of static, higher-order topological insulators (HOTIs) can be used to simulate the behavior of (time-periodic) Floquet topological insulators. We consider D-dimensional HOTIs with gapless corner…

介观与纳米尺度物理 · 物理学 2021-06-30 Selma Franca , Fabian Hassler , Ion Cosma Fulga

Periodic driving of a quantum system can enable new topological phases with no analog in static systems. In this paper we systematically classify one-dimensional topological and symmetry-protected topological (SPT) phases in interacting…

强关联电子 · 物理学 2017-05-26 Andrew C. Potter , Takahiro Morimoto , Ashvin Vishwanath

We develop a theory of topological transitions in a Floquet topological insulator, using graphene irradiated by circularly polarized light as a concrete realization. We demonstrate that a hallmark signature of such transitions in a static…

介观与纳米尺度物理 · 物理学 2014-12-12 Arijit Kundu , H. A. Fertig , Babak Seradjeh