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Tailoring quantum gases by Floquet engineering

Nature Physics volume 17, pages 1342–1348 (2021)Cite this article

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Abstract

Floquet engineering is the concept of tailoring a system by a periodic drive, and it is increasingly employed in many areas of physics. Ultracold atoms in optical lattices offer a particularly large toolbox to design a variety of driving schemes. A strong motivation for developing these methods is the prospect to study the interplay between topology and interactions in a system where both ingredients are fully tunable. We review the recent successes of Floquet engineering in realizing new classes of Hamiltonians in quantum gases, such as Hamiltonians including artificial gauge fields, topological band structures and density-dependent tunnelling. The creation of periodically driven systems also gives rise to phenomena without static counterparts such as anomalous Floquet topological insulators. We discuss the challenges facing the field, particularly the control of heating mechanisms, which currently limit the preparation of many-body phases, as well as the potential future developments as these obstacles are overcome.

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Fig. 1: Effective Hamiltonian and renormalized tunnelling.
Fig. 2: Artificial gauge fields and topological band structures.
Fig. 3: Floquet schemes in correlated systems.
Fig. 4: Physics beyond an equilibrium description.

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Acknowledgements

This work was supported by the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme under grant agreement no. 802701 and by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) via Research Unit FOR 2414 ‘Artificial gauge fields and interacting topological phases in ultracold atoms’ under project number 277974659 and via the SFB 925 ‘Light induced dynamics and control of correlated quantum systems’ under project number 170620586.

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  1. ILP—Institut für Laserphysik, Universität Hamburg, Hamburg, Germany

    Christof Weitenberg & Juliette Simonet

  2. The Hamburg Centre for Ultrafast Imaging, Hamburg, Germany

    Christof Weitenberg & Juliette Simonet

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Weitenberg, C., Simonet, J. Tailoring quantum gases by Floquet engineering. Nat. Phys. 17, 1342–1348 (2021). https://doi.org/10.1038/s41567-021-01316-x

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