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arXiv · 2312.10141

Many-body origin of anomalous Floquet phases in cavity-QED materials

Beatriz Pérez-González·Gloria Platero·Álvaro Gómez-León
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Abstract

Anomalous Floquet topological phases are a hallmark, without a static analog, of periodically driven systems. Recently, Quantum Floquet Engineering has emerged as an interesting approach to cavity-QED materials, which recovers the physics of Floquet engineering in its semi-classical limit. However, the mapping between these two widely different scenarios remains mysterious in many aspects. We discuss the emergence of anomalous topological phases in cavity-QED materials, and link topological phase transitions in the many-body spectrum with those in the $0$- and $\pi$-gaps of Floquet quasienergies. Our results allow to establish the microscopic origin of an emergent discrete time-translation symmetry in the matter sector, and link the physics of isolated many-body systems with that of periodically driven ones. Finally, the relation between many-body and Floquet topological invariants is discussed, as well as the bulk-edge correspondence.

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Beatriz Pérez-González, Gloria Platero, Álvaro Gómez-León. 2023-12-15. Many-body origin of anomalous Floquet phases in cavity-QED materials. https://arxiv.org/abs/2312.10141

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