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Coherent optical manipulation of electronic bandstructures via Floquet Engineering is a promising means to control quantum systems on an ultrafast timescale. However, the ultrafast switching on/off of the driving field comes with questions…

A topological insulator is regarded as an ideal candidate for information storage and high-speed lossless electrical transmission devices due to robust topological protected boundary modes. Previous studies revealed that symmetry exerts an…

Mesoscale and Nanoscale Physics · Physics 2026-01-06 Ming-Jian Gao , Jun-Hong An

Coherent control of quantum materials has progressed along two major fronts: nonlinear phononics, which reshapes lattices to induce emergent states, and Floquet engineering, which tailors electronic band reconstruction via time-periodic…

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…

Quantum Gases · Physics 2019-10-24 S. Subhankar , P. Bienias , P. Titum , T-C. Tsui , Y. Wang , A. V. Gorshkov , S. L. Rolston , J. V. Porto

We review methods for using time-periodic fields (e.g., laser or microwave fields) to induce non-equilibrium topological phenomena in quantum many-body systems. We discuss how such fields can be used to change the topological properties of…

Mesoscale and Nanoscale Physics · Physics 2020-08-17 Mark S. Rudner , Netanel H. Lindner

Stacking and twisting atom-thin sheets create superlattice structures with unique emergent properties, while tailored light fields can manipulate coherent electron transport on ultrafast timescales. The unification of these two approaches…

Mesoscale and Nanoscale Physics · Physics 2024-05-20 Sambit Mitra , Álvaro Jiménez-Galán , Marcel Neuhaus , Rui E F Silva , Volodymyr Pervak , Matthias F Kling , Shubhadeep Biswas

Periodic driving is a powerful tool to generate exotic topological phases without static counterparts, such as the anomalous chiral edge modes from bulk bands with zero Chern number and topological $\pi$ modes exhibiting period-doubled…

Optics · Physics 2025-04-22 Gang Jiang , Siyuan Zhang , Weiwei Zhu , Y. X. Zhao , Haoran Xue

We study the Floquet phase diagram of two-dimensional Dirac materials such as graphene and the one-dimensional (1D) spin-1/2 $XY$ model in a transverse field in the presence of periodic time-varying terms in their Hamiltonians in the low…

Mesoscale and Nanoscale Physics · Physics 2018-05-16 Bhaskar Mukherjee , Priyanka Mohan , Diptiman Sen , K. Sengupta

We propose a method to parametrically excite low frequency collective modes in an interacting many body system using a Floquet driving at optical frequencies with a modulated amplitude. We demonstrate that it can be used to design plasmonic…

Strongly Correlated Electrons · Physics 2025-04-18 Egor I. Kiselev , Mark S. Rudner , Netanel H. Lindner

Floquet engineering is the concept of tailoring a system by a periodic drive. It has been very successful in opening new classes of Hamiltonians to the study with ultracold atoms in optical lattices, such as artificial gauge fields,…

Quantum Gases · Physics 2021-08-13 Christof Weitenberg , Juliette Simonet

Over the past few years, topological insulators have taken center stage in solid state physics. The desire to tune the topological invariants of the bulk and thus control the number of edge states has steered theorists and experimentalists…

Mesoscale and Nanoscale Physics · Physics 2014-10-01 J. K. Asboth , B. Tarasinski , P. Delplace

Synthetic dimensions have garnered widespread interest for implementing high dimensional classical and quantum dynamics on lower dimensional geometries. Synthetic frequency dimensions, in particular, have been used to experimentally realize…

Quantum Physics · Physics 2022-06-14 Avik Dutt , Luqi Yuan , Ki Youl Yang , Kai Wang , Siddharth Buddhiraju , Jelena Vučković , Shanhui Fan

Multi-photon resonances to high-lying energy levels represent an unavoidable source of Floquet heating in strongly driven quantum systems. In this work, we extend the recently developed two-tone approach of 'cancelling' multi-photon…

Quantum Gases · Physics 2025-07-23 Yuanning Chen , Zijie Zhu , Konrad Viebahn

Topological materials, known for their edge states robust against local perturbations, hold promise for next-generation quantum technologies, but remain scarce in nature and challenging to realize in static systems. The Su-Schrieffer-Heeger…

Topological theories have established a new set of rules that govern the transport properties in a wide variety of wave-mechanical settings. In a marked departure from the established approaches that induce Floquet topological phases by…

Floquet topological insulators have been widely investigated in lower-dimensional systems. However, Floquet topological insulators induced by time-periodic driving in higher-dimensional systems remain unexplored. In this work, we study the…

Mesoscale and Nanoscale Physics · Physics 2024-03-11 Zheng-Rong Liu , Rui Chen , Bin Zhou

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…

Mesoscale and Nanoscale Physics · Physics 2025-11-11 Jiaxin Pan , Longwen Zhou

We investigate Floquet engineering in a sawtooth chain -- a minimal model hosting a nearly flat band endowed with nontrivial quantum geometry -- coupled to driven surface polaritons. In this paradigmatic flat band model, light-matter…

Strongly Correlated Electrons · Physics 2024-06-04 Mikołaj Walicki , Christian J. Eckhardt , Michael A. Sentef

In this work we theoretically study, using Floquet-Bloch theory, the influence of circularly and linearly polarized light on two-dimensional band structures with Dirac and quadratic band touching points, and flat bands, taking the nearest…

Mesoscale and Nanoscale Physics · Physics 2017-02-01 Liang Du , Xiaoting Zhou , Gregory A. Fiete

Near-resonant periodic driving of quantum systems promises the implementation of a large variety of novel effective Hamiltonians. The challenge of Floquet engineering lies in the preparation and measurement of the desired quantum state. We…