Quantized Chern-Simons Axion Coupling in Anomalous Floquet Systems
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866909660168060928 |
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| author | Gavensky, Lucila Peralta Goldman, Nathan Usaj, Gonzalo |
| author_facet | Gavensky, Lucila Peralta Goldman, Nathan Usaj, Gonzalo |
| contents | Quantized bulk response functions are hallmark signatures of topological phases, but their manifestation in periodically driven (Floquet) systems is not yet fully established. Here, we show that two-dimensional anomalous Floquet systems exhibit a quantized bulk response encoded in a Chern-Simons axion (CSA) coupling angle, reflecting a topological magnetoelectric effect analogous to that in three-dimensional insulators. The periodic drive introduces an emergent "photon" dimension, allowing the system to be viewed as a three-dimensional Sambe lattice. Within this framework, cross-correlated responses such as photon-space polarization and magnetization density, emerge as physical signatures of the CSA coupling. The CSA angle, constructed from the non-Abelian Berry connection of Floquet states, admits a natural interpretation in terms of the geometry of hybrid Wannier states. These results provide a unified framework linking Floquet band topology to quantized bulk observables. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_20719 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Quantized Chern-Simons Axion Coupling in Anomalous Floquet Systems Gavensky, Lucila Peralta Goldman, Nathan Usaj, Gonzalo Mesoscale and Nanoscale Physics Quantum Gases Quantum Physics Quantized bulk response functions are hallmark signatures of topological phases, but their manifestation in periodically driven (Floquet) systems is not yet fully established. Here, we show that two-dimensional anomalous Floquet systems exhibit a quantized bulk response encoded in a Chern-Simons axion (CSA) coupling angle, reflecting a topological magnetoelectric effect analogous to that in three-dimensional insulators. The periodic drive introduces an emergent "photon" dimension, allowing the system to be viewed as a three-dimensional Sambe lattice. Within this framework, cross-correlated responses such as photon-space polarization and magnetization density, emerge as physical signatures of the CSA coupling. The CSA angle, constructed from the non-Abelian Berry connection of Floquet states, admits a natural interpretation in terms of the geometry of hybrid Wannier states. These results provide a unified framework linking Floquet band topology to quantized bulk observables. |
| title | Quantized Chern-Simons Axion Coupling in Anomalous Floquet Systems |
| topic | Mesoscale and Nanoscale Physics Quantum Gases Quantum Physics |
| url | https://arxiv.org/abs/2506.20719 |