Flux-switching Floquet engineering
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866908953037766656 |
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| author | Powell, Ian Emmanuel Buchalter, Louis |
| author_facet | Powell, Ian Emmanuel Buchalter, Louis |
| contents | We present an analysis of a square-lattice Harper-Hofstadter model with a periodically varying magnetic flux with time. By switching the dimensionless flux per plaquette between a set of values $\{p_j/q_j\}$ the Floquet quasienergy spectrum is folded into Q = lcm$\{q_j\}$ bands. We determine closed form analytical solutions for the quasienergy spectrum and Chern numbers for the -1/2 $\to$ 1/2 flux switching case, as well as the Rudner-Lindner-Berg-Levin (RLBL) winding invariants W numerically, and construct the corresponding topological phase diagram for arbitrary driving period. We find that generic flux-switching drives feature interlaced Hofstadter butterfly quasienergy spectra, and the gaps in the spectrum may be labeled according to a Diophantine equation which relates the quasienergy gap index to the fluxes attained in the drive and their associated per-step windings. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_06897 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Flux-switching Floquet engineering Powell, Ian Emmanuel Buchalter, Louis Other Condensed Matter Quantum Physics We present an analysis of a square-lattice Harper-Hofstadter model with a periodically varying magnetic flux with time. By switching the dimensionless flux per plaquette between a set of values $\{p_j/q_j\}$ the Floquet quasienergy spectrum is folded into Q = lcm$\{q_j\}$ bands. We determine closed form analytical solutions for the quasienergy spectrum and Chern numbers for the -1/2 $\to$ 1/2 flux switching case, as well as the Rudner-Lindner-Berg-Levin (RLBL) winding invariants W numerically, and construct the corresponding topological phase diagram for arbitrary driving period. We find that generic flux-switching drives feature interlaced Hofstadter butterfly quasienergy spectra, and the gaps in the spectrum may be labeled according to a Diophantine equation which relates the quasienergy gap index to the fluxes attained in the drive and their associated per-step windings. |
| title | Flux-switching Floquet engineering |
| topic | Other Condensed Matter Quantum Physics |
| url | https://arxiv.org/abs/2509.06897 |