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Related papers: Non-Floquet engineering in periodically driven non…

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We investigate the dynamical characterization theory for periodically driven systems in which Floquet topology can be fully detected by emergent topological patterns of quench dynamics in momentum subspaces called band-inversion surfaces.…

Quantum Gases · Physics 2024-02-02 Bei-Bei Wang , Long Zhang

Coherent control via periodic modulation, also known as Floquet engineering, has emerged as a powerful experimental method for the realization of novel quantum systems with exotic properties. In particular, it has been employed to study…

We present a pedagogical review of the periodically driven non-Hermitian systems, particularly on the rich interplay between the non-Hermitian skin effect and the topology. We start by reviewing the non-Bloch band theory of the static…

Mesoscale and Nanoscale Physics · Physics 2024-03-28 Xiang Ji , Xiaosen Yang

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…

Computational Physics · Physics 2024-09-10 Fangyang Zhan , Rui Chen , Zhen Ning , Da-Shuai Ma , Ziming Wang , Dong-Hui Xu , Rui Wang

We explore the unconventional wave scattering properties of non-Hermitian systems in which amplification or damping are induced by time-periodic modulation. These non- Hermitian time-Floquet systems are capable of non-reciprocal operations…

Mesoscale and Nanoscale Physics · Physics 2018-02-28 Theodoros T. Koutserimpas , Romain Fleury

The interplay between Floquet periodically driving and non-Hermiticity could bring about intriguing novel phenomena with anomalous Floquet topological phases of a finite-size, tight-binding lattice model. How to efficiently investigate on…

Other Condensed Matter · Physics 2025-08-04 Yifei Xia , Xiumei Wang , Yali Li , Xingping Zhou

Periodically driven quantum systems, known as Floquet systems, provide a versatile platform for engineering novel topological phases absent in static settings. However, dynamically characterizing these non-equilibrium topological invariants…

Quantum Physics · Physics 2026-05-08 Xin Shen , Bing Lu , Yan-Qing Zhu

We report a novel mechanism of boundary-sensitive PT symmetry breaking in one-dimensional Floquet systems. By designing a time-periodic driving protocol, we realize a Floquet Hamiltonian that is Hermitian under periodic boundary conditions…

Quantum Physics · Physics 2026-03-25 Bo Li , He-Ran Wang , Fei Song

Floquet topological phases emerge when systems are periodically driven out-of-equilibrium. They gained attention due to their external control, which allows to simulate a wide variety of static systems by just tuning the external field in…

Quantum Physics · Physics 2024-11-20 Álvaro Gómez-León

Non-Hermitian topological systems have attracted lots of interest due to their unique topological properties when the non-Hermitian skin effect (NHSE) appears. However, the experimental realization of NHSE conventionally requires…

Optics · Physics 2023-12-29 Yaohua Li , Cuicui Lu , Shuang Zhang , Yong-Chun Liu

Driving condensed matter systems with periodic electromagnetic fields can result in exotic states not found in equilibrium. Termed Floquet engineering, such periodic driving applied to electronic systems can tailor quantum effects to induce…

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

Periodically driven quantum systems host exotic phenomena which often do not have any analog in undriven systems. Floquet prethermalization and dynamical freezing of certain observables, via the emergence of conservation laws, are realized…

Strongly Correlated Electrons · Physics 2024-02-19 Bhaskar Mukherjee , Ronald Melendrez , Marcin Szyniszewski , Hitesh J. Changlani , Arijeet Pal

While periodically-driven phases offer a unique insight into non-equilibrium topology that is richer than its static counterpart, their experimental realization is often hindered by ubiquitous decoherence effects. Recently, we have proposed…

Mesoscale and Nanoscale Physics · Physics 2022-04-20 Selma Franca , Fabian Hassler , Ion Cosma Fulga

Much recent experimental effort has focused on the realization of exotic quantum states and dynamics predicted to occur in periodically driven systems. But how robust are the sought-after features, such as Floquet topological surface…

Quantum Gases · Physics 2019-01-16 Lukas M. Sieberer , Maria-Theresa Rieder , Mark H. Fischer , Ion C. Fulga

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…

Applied Physics · Physics 2026-03-17 Weiwei Zhu , Longwen Zhou , Linhu Li , Jiangbin Gong

Holonomic quantum computing (HQC) functions by transporting an adiabatically degenerate manifold of computational states around a closed loop in a control-parameter space; this cyclic evolution results in a non-Abelian geometric phase which…

"Floquet engineering" - designing band structures "on-demand" through the application of coherent time-periodic drives - has recently emerged as a powerful tool for creating new topological and anomalous phases of matter. In this…

Strongly Correlated Electrons · Physics 2021-09-16 Iliya Esin , Gaurav Kumar Gupta , Erez Berg , Mark S. Rudner , Netanel H. Lindner

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…

Quantum Physics · Physics 2015-11-30 Martin Holthaus

Floquet engineering in quantum simulation employs externally applied high-frequency pulses to dynamically design steady-state effective Hamiltonians. Such protocols can be used to enlarge the space of Hamiltonians but approximations often…

Quantum Physics · Physics 2025-12-29 Ryan Scott , Bryce Gadway , V. W. Scarola
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