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

• URL: http://arxiv.org/abs/2312.10141v1
• Date: Fri, 15 Dec 2023 19:00:05 GMT
• Title: Many-body origin of anomalous Floquet phases in cavity-QED materials
• Authors: Beatriz P\'erez-Gonz\'alez and Gloria Platero and \'Alvaro G\'omez-Le\'on
• Abstract summary: Anomalous Floquet topological phases are a hallmark, without a static analog, of periodically driven systems. Quantum Floquet Engineering has emerged as an interesting approach to cavity-QED materials.
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• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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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