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The Floquet Engineer's Handbook
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We provide a pedagogical technical guide to many of the key theoretical tools and ideas that underlie work in the field of Floquet engineering. We hope that this document will serve as a useful resource for new researchers aiming to enter the field, as well as experienced researchers who wish to gain new insight into familiar or possibly unfamiliar methods. This guide was developed out of supplementary material as a companion to our recent review, "Band structure engineering and non-equilibrium dynamics in Floquet topological insulators," Nature Reviews Physics 2, 229 (2020). The primary focus is on analytical techniques relevant for Floquet-Bloch band engineering and related many-body dynamics. We will continue to update this document over time to include additional content, and welcome suggestions for further topics to consider.
Forward citations
Cited by 6 Pith papers
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Floquet polaritons in optically driven materials
A Green-function framework derives Floquet polariton spectra in pumped quantum materials from their nonlinear optical susceptibilities, predicting flat bands, exceptional points, and parametric instability in graphene...
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Floquet Spin Splitting and Spin Generation in Antiferromagnets
Optical driving induces Floquet spin splitting in antiferromagnets, enabling steady-state pure spin currents and thermal-bath-engineered nonrelativistic spin accumulation.
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Light-tunable quantum metric non-linear Hall response in Berry dipole semimetals
Light induces tunable asymmetry in the quantum metric dipole of Berry dipole semimetals, enabling control over the sign of nonlinear Hall conductivity.
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Self-organized Floquet band geometry in cavity-driven quantum materials
A cavity-embedded semiconductor with dc pumping self-organizes a periodic field that Floquet-modifies its anomalous Hall conductivity, measurable by in-plane dc transport.
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Benchmarking Floquet Master Equations for Periodically Driven Open Quantum Systems
Systematic numerical benchmarking shows Floquet master equation accuracy tracks their underlying assumptions, with secular-approximation versions failing near resonances while non-secular versions show smoother error ...
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Symmetry-driven Phononic Metamaterials
A review organizing advances in phononic metamaterials and crystals through symmetry principles for wave control.
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