Edge universality in Floquet sideband spectra
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arXiv
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| Format: | Preprint |
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2026
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| _version_ | 1866910107384676352 |
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| author | Tierz, Miguel |
| author_facet | Tierz, Miguel |
| contents | We show that, for non-interacting fermions under a monochromatic phase drive (Tien--Gordon regime), the outgoing sideband occupations at a sharp Fermi edge are governed by the discrete Bessel kernel -- an exact result at any drive amplitude~$A$. In the large-amplitude regime the edge of this kernel converges, on the $A^{1/3}$ scale, to the Airy kernel of random matrix theory. This universality has a direct transport consequence: the deficit of the photo-assisted shot-noise slope from its high-bias plateau collapses onto the Airy-kernel diagonal. The derivation rests on a bridge between the linear detection chain and the Floquet scattering matrix: commensurate gating isolates a single coherence-order block of the one-body correlator. We identify the crossover temperature below which the Airy scaling is sharp, extend the analysis to biased two-terminal occupations, and argue that multi-tone drives make Pearcey-kernel cusps accessible in Floquet--Sambe space. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2604_05244 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Edge universality in Floquet sideband spectra Tierz, Miguel Mesoscale and Nanoscale Physics Statistical Mechanics Mathematical Physics Quantum Physics We show that, for non-interacting fermions under a monochromatic phase drive (Tien--Gordon regime), the outgoing sideband occupations at a sharp Fermi edge are governed by the discrete Bessel kernel -- an exact result at any drive amplitude~$A$. In the large-amplitude regime the edge of this kernel converges, on the $A^{1/3}$ scale, to the Airy kernel of random matrix theory. This universality has a direct transport consequence: the deficit of the photo-assisted shot-noise slope from its high-bias plateau collapses onto the Airy-kernel diagonal. The derivation rests on a bridge between the linear detection chain and the Floquet scattering matrix: commensurate gating isolates a single coherence-order block of the one-body correlator. We identify the crossover temperature below which the Airy scaling is sharp, extend the analysis to biased two-terminal occupations, and argue that multi-tone drives make Pearcey-kernel cusps accessible in Floquet--Sambe space. |
| title | Edge universality in Floquet sideband spectra |
| topic | Mesoscale and Nanoscale Physics Statistical Mechanics Mathematical Physics Quantum Physics |
| url | https://arxiv.org/abs/2604.05244 |