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The interplay between Floquet driving and non-Hermitian gain/loss could give rise to intriguing phenomena including topological funneling of light, edge-state delocalization, anomalous topological transitions and Floquet non-Hermitian skin…

应用物理 · 物理学 2026-03-17 Weiwei Zhu , Longwen Zhou , Linhu Li , Jiangbin Gong

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

A primer on the Floquet theory of periodically time-dependent quantum systems is provided, and it is shown how to apply this framework for computing the quasienergy band structure governing the dynamics of ultracold atoms in driven optical…

量子物理 · 物理学 2015-11-30 Martin Holthaus

We extend the notion of fragile topology to periodically-driven systems. We demonstrate driving-induced fragile topology in two different models, namely, the Floquet honeycomb model and the Floquet $\pi$-flux square-lattice model. In both…

介观与纳米尺度物理 · 物理学 2021-03-31 Rui-Xing Zhang , Zhi-Cheng Yang

Many-body localization (MBL) provides a mechanism by which interacting quantum systems evade thermalization, leading to persistent memory of initial conditions and slow entanglement growth. Probing these dynamical signatures in large…

量子物理 · 物理学 2026-03-16 Kazuma Nagao , Tomonori Shirakawa , Rongyang Sun , Peter Prelovšek , Seiji Yunoki

We present an approach for efficiently simulating strongly damped quantum systems subjected to periodic driving, employing a periodic matrix product operator representation of the influence functional. This representation enables the…

量子物理 · 物理学 2026-04-17 Konrad Mickiewicz , Valentin Link , Walter T. Strunz

We introduce a functional renormalization group framework formulated directly in the Floquet steady-state that systematically incorporates frequency-dependent interaction effects. By retaining the frequency structure of the two-particle…

强关联电子 · 物理学 2026-03-16 Jan-Niklas Herre , Christoph Karrasch , Dante M. Kennes

Floquet engineering offers an unparalleled platform for realizing novel non-equilibrium topological phases. However, the unique structure of Floquet systems, which includes multiple quasienergy gaps, poses a significant challenge to…

量子物理 · 物理学 2026-01-07 Chen-Yang Wang , Jing-Ping Xu , Ce Wang , Ya-Ping Yang

Recent theoretical and numerical evidence suggests that localization can survive in disordered many-body systems with very high energy density, provided that interactions are sufficiently weak. Stronger interactions can destroy…

无序系统与神经网络 · 物理学 2013-04-17 Shankar Iyer , Vadim Oganesyan , Gil Refael , David A. Huse

We propose and analyse an efficient scheme for simulating higher-order topological phases of matter in two dimensional (2D) spin-phononic crystal networks. We show that, through a specially designed periodic driving, one can selectively…

量子物理 · 物理学 2021-01-20 Xiao-Xiao Li , Peng-Bo Li

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…

量子气体 · 物理学 2023-04-19 Yixiao Wang , Anne-Sophie Walter , Gregor Jotzu , Konrad Viebahn

Stimulated by the recent progress in engineering topological band structures in cold atomic gases, we study the dynamic topological phenomena for atoms loaded in a periodically driven optical lattice. When the frequency of the periodic…

量子气体 · 物理学 2022-05-02 De-Huan Cai , Wei Yi

Spatially uniform excitations can induce Floquet topological bandstructures within insulators which have equal characteristics to those of topological insulators. Going beyond we demonstrate in this article the evolution of Floquet…

强关联电子 · 物理学 2019-09-17 Andreas Lubatsch , Regine Frank

The conventional framework for defining and understanding phases of matter requires thermodynamic equilibrium. Extensions to non-equilibrium systems have led to surprising insights into the nature of many-body thermalization and the…

Topologically protected edge states exactly at topological phase boundaries challenge the conventional belief that topological states must be associated with a bulk energy gap. Because periodically driven (Floquet) systems host unusually…

统计力学 · 物理学 2025-05-26 Longwen Zhou , Jiangbin Gong , Xue-Jia Yu

Periodically driven quantum systems known as Floquet insulators can host topologically protected bound states known as "$\pi$ modes" that exhibit response at half the frequency of the drive. Such states can also appear in undriven lattice…

量子物理 · 物理学 2023-11-13 Thomas Iadecola , Srimoyee Sen , Lars Sivertsen

Unstable periodic orbits act as organizing structures for classical chaotic systems and underpin quantum scarring. Long known in single-particle systems, genuine quantum scars based on unstable periodic orbits have been recently extended to…

统计力学 · 物理学 2026-04-16 Harald Schmid , Andrea Pizzi , Johannes Knolle

Floquet engineering or coherent time periodic driving of quantum systems has been successfully used to synthesize Hamiltonians with novel properties. In ultracold atomic systems, this has led to experimental realizations of artificial gauge…

量子气体 · 物理学 2019-10-24 S. Subhankar , P. Bienias , P. Titum , T-C. Tsui , Y. Wang , A. V. Gorshkov , S. L. Rolston , J. V. Porto

Spatially uniform optical excitations can induce Floquet topological band structures within insulators which can develop similar or equal characteristics as are known from three-dimensional topological insulators. We derive in this article…

强关联电子 · 物理学 2020-08-04 Andreas Lubatsch , Regine Frank

It is expected that a generic closed many-body system prepared in a well-behaved initial state and subjected to a periodic drive will eventually thermalize, i.e. approach the state of maximal entropy. This property, while compatible with…

统计力学 · 物理学 2026-03-17 Anton Kapustin
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