{"paper":{"title":"Chiral-Mode Control around a Hermitian Diabolic Point in Discrete Non-Hermitian Coupled Resonators","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","headline":"Infinitesimal complex perturbations near a Hermitian diabolic point induce chiral-mode selection via an asymptotic exceptional point.","cross_cats":[],"primary_cat":"physics.optics","authors_text":"Adam Mock, Kota Yagi, Masaya Notomi, Takahiro Uemura, Yuto Moritake","submitted_at":"2026-05-15T05:43:10Z","abstract_excerpt":"Motivated by the prospect of chiral-mode control in compact photonic systems, we analyze discrete coupled single-mode resonators. Using the minimal three-resonator model, we show that an infinitesimal complex onsite perturbation near a Hermitian diabolic point (DP) induces chiral-mode selection, governed by what we term an asymptotic exceptional point (AEP). Here, an AEP denotes a Hermitian DP equipped with a non-Hermitian perturbation that induces an asymptotically defective effective Hamiltonian. The eigenvectors coalesce in the asymptotic limit toward the DP, although the Hamiltonian at the"},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"an infinitesimal complex onsite perturbation near a Hermitian diabolic point (DP) induces chiral-mode selection, governed by what we term an asymptotic exceptional point (AEP)... The associated eigenvalue response exhibits the anomalous fractional-power scaling Δλ ∝ ε^{3/2}","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"The minimal three-resonator discrete model accurately captures the essential non-Hermitian dynamics and chiral response of the broader class of coupled-resonator systems under infinitesimal complex onsite perturbations.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"In a three-resonator model, an asymptotic exceptional point at a Hermitian diabolic point enables chiral-mode switching with eigenvalue response scaling as the 3/2 power of perturbation strength.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"Infinitesimal complex perturbations near a Hermitian diabolic point induce chiral-mode selection via an asymptotic exceptional point.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"09172e7615d2f0a66dc456b1cd4f7f9e0b1b142e1c5a73c1968e12522adcade9"},"source":{"id":"2605.15637","kind":"arxiv","version":1},"verdict":{"id":"acbe4ec3-ef7c-4494-a596-391b32e73e8c","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-19T19:49:20.910506Z","strongest_claim":"an infinitesimal complex onsite perturbation near a Hermitian diabolic point (DP) induces chiral-mode selection, governed by what we term an asymptotic exceptional point (AEP)... The associated eigenvalue response exhibits the anomalous fractional-power scaling Δλ ∝ ε^{3/2}","one_line_summary":"In a three-resonator model, an asymptotic exceptional point at a Hermitian diabolic point enables chiral-mode switching with eigenvalue response scaling as the 3/2 power of perturbation strength.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"The minimal three-resonator discrete model accurately captures the essential non-Hermitian dynamics and chiral response of the broader class of coupled-resonator systems under infinitesimal complex onsite perturbations.","pith_extraction_headline":"Infinitesimal complex perturbations near a Hermitian diabolic point induce chiral-mode selection via an asymptotic exceptional point."},"integrity":{"clean":false,"summary":{"advisory":1,"critical":0,"by_detector":{"doi_compliance":{"total":1,"advisory":1,"critical":0,"informational":0}},"informational":0},"endpoint":"/pith/2605.15637/integrity.json","findings":[{"note":"DOI in the printed bibliography is fragmented by whitespace or line breaks. 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