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We present a theory of periodically driven, many-body localized (MBL) systems. We argue that MBL persists under periodic driving at high enough driving frequency: The Floquet operator (evolution operator over one driving period) can be…

Disordered Systems and Neural Networks · Physics 2017-01-30 Dmitry Abanin , Wojciech De Roeck , François Huveneers

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

The monochromatic driving of a quantum system is a successful technique in quantum simulations, well captured by an effective Hamiltonian approach, and with applications in artificial gauge fields and topological engineering. In this…

Quantum Physics · Physics 2024-06-27 François Impens , David Guéry-Odelin

Topological phases characterized by non-Abelian charges have garnered increasing attention recently. Although Floquet (periodic-driving) higher-order topological phases have been explored at the single-particle level, the role of…

Mesoscale and Nanoscale Physics · Physics 2025-08-22 Yujie Zhou , Changsen Li , Xiumei Wang , Xingping Zhou

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

Tunability of an artificial quantum system is crucial to its capability to process quantum information. However, tunability usually poses significant demand on the design and fabrication of a device. In this work, we demonstrate that…

Mesoscale and Nanoscale Physics · Physics 2023-04-25 Yuan Zhou , Sisi Gu , Ke Wang , Gang Cao , Xuedong Hu , Ming Gong , Hai-Ou Li , Guo-Ping Guo

Topological phases in quantum and classical systems have been of significant recent interest due to their fascinating physical properties. While a range of different mechanisms to induce topological order have been introduced, a quest for…

Materials Science · Physics 2019-08-07 Mengyao Li , Xiang Ni , Matthew Weiner , Andrea Alù , Alexander B. Khanikaev

We study a system of one-dimensional interacting quantum particles subjected to a time-periodic potential linear in space. After discussing the cases of driven one- and two-particles systems, we derive the analogous results for the…

Statistical Mechanics · Physics 2020-09-16 Andrea Colcelli , Giuseppe Mussardo , German Sierra , Andrea Trombettoni

We consider disordered many-body systems with periodic time-dependent Hamiltonians in one spatial dimension. By studying the properties of the Floquet eigenstates, we identify two distinct phases: (i) a many-body localized (MBL) phase, in…

Disordered Systems and Neural Networks · Physics 2015-04-16 Pedro Ponte , Z. Papić , François Huveneers , Dmitry A. Abanin

An external drive can improve the coherence of a quantum many-body system by averaging out noise sources. It can also be used to realize models that are inaccessible in the static limit, through Floquet Hamiltonian engineering. The full…

Quantum Physics · Physics 2023-04-18 W. Morong , K. S. Collins , A. De , E. Stavropoulos , T. You , C. Monroe

Higher-order topological materials with topologically protected states at the boundaries of their boundaries (hinges or corners) have attracted attention in recent years. In this paper, we utilize time-periodic driving to generate…

Mesoscale and Nanoscale Physics · Physics 2020-09-29 Raditya Weda Bomantara

We propose a method to study the time evolution of correlated electrons driven by an harmonic perturbation. Combining Floquet formalism to include the time-dependent field and Cluster Perturbation Theory to solve the many-body problem in…

Strongly Correlated Electrons · Physics 2016-10-19 M. Puviani , F. Manghi

Driving a quantum system periodically in time can profoundly alter its long-time correlations and give rise to exotic quantum states of matter. The complexity of the combination of many-body correlations and dynamic manipulations has the…

Strongly Correlated Electrons · Physics 2019-06-04 Shaon Sahoo , Imke Schneider , Sebastian Eggert

Heating effects in Floquet engineered system are detrimental to the control of physical properties. In this work, we show that the heating of periodically driven strongly correlated systems can be suppressed by multi-color driving, i.e., by…

Strongly Correlated Electrons · Physics 2023-08-04 Yuta Murakami , Michael Schüler , Ryotaro Arita , Philipp Werner

Protecting coherent quantum dynamics from chaotic environment is key to realizations of fragile many-body phenomena and their applications in quantum technology. We present a general construction that embeds a desired periodic orbit into a…

Quantum Physics · Physics 2023-09-27 Andrew Hallam , Jean-Yves Desaules , Zlatko Papić

The design of time-independent effective Hamiltonians that describe periodically modulated systems, provides a promising approach to realize new forms of matter. This, so-called, Floquet engineering approach is currently limited to the…

Mesoscale and Nanoscale Physics · Physics 2018-09-18 Huanan Li , Boris Shapiro , Tsampikos Kottos

Polar molecules confined in an optical lattice are a versatile platform to explore spin-motion dynamics based on strong, long-range dipolar interactions. The precise tunability of Ising and spin-exchange interactions with both microwave and…

Topological insulators represent unique phases of matter with insulating bulk and conducting edge or surface states, immune to small perturbations such as backscattering due to disorder. This stems from their peculiar band structure, which…

Mesoscale and Nanoscale Physics · Physics 2013-10-01 Jérôme Cayssol , Balázs Dóra , Ferenc Simon , Roderich Moessner

A fruitful avenue in investigating out-of-equilibrium quantum many-body systems is to abruptly change their Hamiltonian and study the subsequent evolution of their quantum state. If this is done once, the setup is called a quench, while if…

High Energy Physics - Theory · Physics 2024-04-12 Hanzhi Jiang , Márk Mezei

Periodic driving serves as an effective method for controlling the properties of physical systems. Called "Floquet engineering," it is a broad field of theoretical and experimental activity. Whereas original Floquet theory was proposed to a…

Mathematical Physics · Physics 2026-05-28 P. I. Naumkin , A. V. Nikolaev , L. L. Tao , M. Ye. Zhuravlev
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