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The concept of Hilbert space fragmentation (HSF) has recently been put forward as a routine to break quantum ergodicity. Although HSF exists widely in models with dynamical constraints, it is still challenging to tune it. Here, we propose a…

Quantum Physics · Physics 2024-10-28 Li Zhang , Yongguan Ke , Ling Lin , Chaohong Lee

Floquet engineering, the control of a quantum system by means of time-periodic driving, allows to modify the properties of the system so that it becomes described by an approximate effective time-independent Hamiltonian. However, in the…

Quantum Gases · Physics 2026-04-03 Lorenz Wanckel , André Eckardt

Floquet systems are governed by periodic, time-dependent, Hamiltonians. Prima facie they should absorb energy from the external drives involved in modulating their couplings and heat up to infinite temperature. However this unhappy state of…

Strongly Correlated Electrons · Physics 2022-10-05 Fenner Harper , Rahul Roy , Mark S. Rudner , S. L. Sondhi

Space-time-modulated systems have attracted significant interest over the past decade due to their ability to manipulate electromagnetic waves in unprecedented ways. Here, we introduce a new type of space-time-modulated structure, the…

Optics · Physics 2024-11-01 Amir Bahrami , Klaas De Kinder , Zhiyu Li , Christophe Caloz

Floquet engineering is a powerful method that can be used to modify the properties of interacting many-body Hamiltonians via the application of periodic time-dependent drives. Here we consider the physics of an inductively shunted…

Mesoscale and Nanoscale Physics · Physics 2026-03-19 Keiran Lewellen , Rohit Mukherjee , Haoyu Guo , Saswata Roy , Valla Fatemi , Debanjan Chowdhury

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…

Strongly Correlated Electrons · Physics 2024-03-20 Takahiro Anan , Takahiro Morimoto , Sota Kitamura

We develop a theoretical framework that lays out the fundamental rules under which a periodic (Floquet) driving scheme can induce non-reciprocal transport. Our approach utilizes an extended Hilbert space where a Floquet network with an…

Optics · Physics 2018-04-24 Huanan Li , Tsampikos Kottos , Boris Shapiro

We show that in a one-dimensional translationally invariant tight binding chain, non-dispersing wave packets can in general be realized as Floquet eigenstates -- or linear combinations thereof -- using a spatially inhomogeneous drive, which…

Other Condensed Matter · Physics 2021-03-19 Zhoushen Huang , Aashish Clerk , Ivar Martin

Time periodic forcing in the form of coherent radiation is a standard tool for the coherent manipulation of small quantum systems like single atoms. In the last years, periodic driving has more and more also been considered as a means for…

Quantum Gases · Physics 2017-04-04 André Eckardt

Characterizing time-periodic Hamiltonians is pivotal for validating and controlling driven quantum platforms, yet prevailing and unadjusted reconstruction methods demand dense time-domain sampling and heavy post-processing. We introduce a…

Quantum Physics · Physics 2025-09-03 Keren Li

We show that a quantum many-body system may be controlled by means of Floquet engineering, i.e., their properties may be controlled and manipulated by employing periodic driving. We present a concrete driving scheme that allows control over…

Strongly Correlated Electrons · Physics 2018-08-22 Yuval Baum , Evert P. L. van Nieuwenburg , Gil Refael

For a periodically driven open quantum system, the Floquet theorem states that the time evolution operator $\Lambda(t,0)$ of the system can be factorized as $\Lambda(t,0)=\mathcal{D}(t)e^{\mathcal{L}_{eff}t}$ with micro-motion operator…

Quantum Physics · Physics 2017-07-18 C. M. Dai , Hong Li , W. Wang , X. X. Yi

We discuss Floquet engineering of dissipative molecular systems through periodic driving of an infrared-active vibrational transition, either directly or via a cavity mode. Following a polaron quantum Langevin equations approach, we derive…

Quantum Physics · Physics 2022-05-11 Michael Reitz , Claudiu Genes

In this paper, the aperture field estimation technique and generalized adiabatic Floquet-wave expansion method is developed for two-dimensional temporally modulated anisotropic holograms. The determinant equations for propagation…

Applied Physics · Physics 2022-06-03 Amrollah Amini , Homayoon Oraizi , Mostafa Movahediqomi , Mohammad Moein Moeini

Periodically driven systems offer a perfect breeding ground for out-of-equilibrium engineering of topological boundary states at zero energy ($0$-mode), as well as finite energy ($\pi$-mode), with the latter having no static analog. The…

Mesoscale and Nanoscale Physics · Physics 2024-12-18 Arnob Kumar Ghosh , Rodrigo Arouca , Annica M. Black-Schaffer

A driven quantum system has been recently studied in the context of nonequilibrium phase transitions and their responses. In particular, for a periodically driven system, its dynamics are described in terms of the multi-dimensional Floquet…

Strongly Correlated Electrons · Physics 2023-03-08 HaRu K. Park , Junmo Jeon , Gil Young Cho , SungBin Lee

Spatio-temporal modulation has shown great promise as a strong time-reversal symmetry breaking mechanism that enables integrated nonreciprocal devices and topological materials at optical frequencies. However, optical modulation has its own…

Optics · Physics 2019-01-04 Ian A. D. Williamson , S. Hossein Mousavi , Zheng Wang

We investigate Floquet Topological Insulators in the presence of spatially-modulated light. We extend on previous work to show that light can be used to generate and control localized modes in the bulk of these systems. We provide examples…

Strongly Correlated Electrons · Physics 2014-05-06 Yaniv Tenenbaum Katan , Daniel Podolsky

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

Optical control and manipulation of cold atoms has become an important topic in condensed matter. Widely employed are optical lattice shaking experiments which allow the introduction of artificial gauge fields, the design of topological…

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