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The eigenvectors coalesce in the asymptotic limit toward the DP, although the Hamiltonian at the","authors_text":"Adam Mock, Kota Yagi, Masaya Notomi, Takahiro Uemura, Yuto Moritake","cross_cats":[],"headline":"Infinitesimal complex perturbations near a Hermitian diabolic point induce chiral-mode selection via an asymptotic exceptional point.","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"physics.optics","submitted_at":"2026-05-15T05:43:10Z","title":"Chiral-Mode Control around a Hermitian Diabolic Point in Discrete Non-Hermitian Coupled Resonators"},"references":{"count":58,"internal_anchors":0,"resolved_work":58,"sample":[{"cited_arxiv_id":"","doi":"","is_internal_anchor":false,"ref_index":1,"title":"Although the eigenvalues vary continuously, the eigenstates exhibit singular chiral-mode selection in the limitε→0","work_id":"b4912775-f7b0-49ac-ad44-d28602e77ea7","year":null},{"cited_arxiv_id":"","doi":"","is_internal_anchor":false,"ref_index":2,"title":"The most striking feature appears in the eigenstates near the DP","work_id":"6c08a8c7-4c7c-4c1b-bd75-8e24fe04908f","year":null},{"cited_arxiv_id":"","doi":"","is_internal_anchor":false,"ref_index":3,"title":"(B8) Thus, in the angular-momentum (k-) space,V ± act as unidirectional shift operators","work_id":"00cdc437-29fb-4291-bb46-8bc6c4b5e4ab","year":null},{"cited_arxiv_id":"","doi":"","is_internal_anchor":false,"ref_index":4,"title":"III, combining two perturbations enables chirality reversal","work_id":"ebb8441d-0418-409d-a855-cef1d716b284","year":null},{"cited_arxiv_id":"","doi":"","is_internal_anchor":false,"ref_index":5,"title":"Explicit definitions ofFoM AEP andFoM EP To compare the direct AEP and EP-pair operating points as chirality switching, we introduced in the main text the engineering figure of merit FoM = C(ρ) (1 + ∆","work_id":"e142716d-8467-424d-83e3-4ed35f2f0be7","year":null}],"snapshot_sha256":"270b9bb335bf2a51c6becd548ed8798b9c9544d06fcac349c3f1015e2def769e"},"source":{"id":"2605.15637","kind":"arxiv","version":1},"verdict":{"created_at":"2026-05-19T19:49:20.910506Z","id":"acbe4ec3-ef7c-4494-a596-391b32e73e8c","model_set":{"reader":"grok-4.3"},"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","pith_extraction_headline":"Infinitesimal complex perturbations near a Hermitian diabolic point induce chiral-mode selection via an asymptotic exceptional point.","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)... 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