Edge universality in Floquet sideband spectra

• URL: http://arxiv.org/abs/2604.05244v1
• Date: Mon, 06 Apr 2026 23:12:05 GMT
• Title: Edge universality in Floquet sideband spectra
• Abstract summary: We show that, for non-interacting fermions under a monochromatic phase drive, the outgoing sideband occupations at a sharp Fermi edge are governed by the discrete Bessel kernel.<n>In the large-amplitude regime the edge of this kernel converges, on the $A2/3$ scale, to the Airy kernel of random matrix theory.
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• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: 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.

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