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We investigate multi-"photon" interband excitation processes in an optical lattice that is driven periodically in time by a modulation of the lattice depth. Assuming the system to be prepared in the lowest band, we compute the excitation…

Quantum Gases · Physics 2016-09-16 Christoph Sträter , André Eckardt

Periodic driving of optical lattices has enabled the creation of novel bandstructures not realizable in static lattice systems, such as topological bands for neutral particles. However, especially driven systems of interacting bosonic…

The dynamic engineering of band structures for ultracold atoms in optical lattices represents an innovative approach to understand and explore the fundamental principles of topological matter. In particular, the folded Floquet spectrum…

The concept of `Floquet engineering' relies on an external periodic drive to realise novel, effectively static Hamiltonians. This technique is being explored in experimental platforms across physics, including ultracold atoms, laser-driven…

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

We propose a `Floquet engineering' formalism to systematically design a periodic driving protocol in order to stroboscopically realize the desired system starting from a given static Hamiltonian. The formalism is applicable to quantum…

Quantum Physics · Physics 2022-01-12 Jayendra N. Bandyopadhyay , Juzar Thingna

When a physical system is subjected to a strong external multi-frequency drive, its dynamics can be conveniently represented in the multi-dimensional Floquet lattice. The number of the Floquet lattice dimensions equals the number of {\em…

Mesoscale and Nanoscale Physics · Physics 2017-10-25 Ivar Martin , Gil Refael , Bertrand Halperin

We use the quasienergy structure that emerges when a fluxonium superconducting circuit is driven periodically to encode quantum information with dynamically induced flux-insensitive sweet spots. The framework of Floquet theory provides an…

Quantum Physics · Physics 2020-11-25 Pranav S. Mundada , András Gyenis , Ziwen Huang , Jens Koch , Andrew A. Houck

Periodic driving has emerged as a powerful tool in the quest to engineer new and exotic quantum phases. While driven many-body systems are generically expected to absorb energy indefinitely and reach an infinite-temperature state, the rate…

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

The out-of-equilibrium dynamics of finite ultracold bosonic ensembles in periodically driven one-dimensional optical lattices is investigated. Our study reveals that the driving enforces the bosons in different wells to oscillate in-phase…

Quantum Gases · Physics 2017-10-31 S. I. Mistakidis , T. Wulf , A. Negretti , P. Schmelcher

Time-periodic (Floquet) driving is a powerful way to control the dynamics of complex systems, which can be used to induce a plethora of new physical phenomena. However, when applied to many-body systems, Floquet driving can also cause…

Statistical Mechanics · Physics 2023-05-30 Wen Wei Ho , Takashi Mori , Dmitry A. Abanin , Emanuele G. Dalla Torre

Chaotic Floquet systems at sufficiently low driving frequencies are known to heat up to an infinite temperature ensemble in the thermodynamic limit. However at high driving frequencies, Floquet systems remain energetically stable in a…

Statistical Mechanics · Physics 2024-11-08 Sourav Bhattacharjee , Souvik Bandyopadhyay , Anatoli Polkovnikov

Quantum simulation has the potential to investigate gauge theories in strongly-interacting regimes, which are up to now inaccessible through conventional numerical techniques. Here, we take a first step in this direction by implementing a…

We demonstrate that the electronic structure of a material can be deformed into Floquet pseudo-bands with arbitrarily tailored shapes. We achieve this goal with a novel combination of quantum optimal control theory and Floquet engineering.…

Mesoscale and Nanoscale Physics · Physics 2022-03-08 Alberto Castro , Umberto de Giovannini , Shusuke A. Sato , Hannes Hübener , Angel Rubio

Subjecting a physical system to a time-periodic drive can substantially modify its properties and applications. This Floquet-engineering approach has been extensively applied to a wide range of classical and quantum settings in view of…

Optics · Physics 2023-11-21 Nathan Goldman

We experimentally investigate the stability of a quantum gas with repulsive interactions in an optical 1D lattice subjected to periodic driving. Excitations of the gas in the lowest lattice band are analyzed across the complete stability…

We review recent work on low-frequency Floquet engineering and its application to quantum materials driven by light, emphasizing van der Waals systems hosting Moir\'e superlattices. These non-equilibrium systems combine the twist-angle…

Mesoscale and Nanoscale Physics · Physics 2021-04-09 Martin Rodriguez-Vega , Michael Vogl , Gregory A. Fiete

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…

Quantum simulation with ultracold atoms provides a versatile platform to emulate condensed-matter models. In particular, momentum-space lattices enable the realization of programmable tight-binding Hamiltonians. Here, we generalize this…

Quantum Gases · Physics 2026-04-28 D. Ronco , F. Arrouas , N. Ombredane , E. Flament , Q. Levoy , B. Peaudecerf , D. Guéry-Odelin
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