Pith Number

pith:2KFDJB2F

pith:2026:2KFDJB2FWV5SKDZ6XEBGKCC62U

not attested not anchored not stored refs resolved

Chiral-Mode Control around a Hermitian Diabolic Point in Discrete Non-Hermitian Coupled Resonators

Adam Mock, Kota Yagi, Masaya Notomi, Takahiro Uemura, Yuto Moritake

Infinitesimal complex perturbations near a Hermitian diabolic point induce chiral-mode selection via an asymptotic exceptional point.

arxiv:2605.15637 v1 · 2026-05-15 · physics.optics

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Claims

C1strongest 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}

C2weakest 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.

C3one 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.

References

58 extracted · 58 resolved · 0 Pith anchors

[1] Although the eigenvalues vary continuously, the eigenstates exhibit singular chiral-mode selection in the limitε→0

[2] The most striking feature appears in the eigenstates near the DP

[3] (B8) Thus, in the angular-momentum (k-) space,V ± act as unidirectional shift operators

[4] III, combining two perturbations enables chirality reversal

[5] 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 + ∆

Formal links

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Receipt and verification

First computed	2026-05-20T00:01:09.422070Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d28a348745b57b250f3eb90265085ed523bfd457eebf207f2f75716f32e5fd5b

Aliases

arxiv: 2605.15637 · arxiv_version: 2605.15637v1 · doi: 10.48550/arxiv.2605.15637 · pith_short_12: 2KFDJB2FWV5S · pith_short_16: 2KFDJB2FWV5SKDZ6 · pith_short_8: 2KFDJB2F

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/2KFDJB2FWV5SKDZ6XEBGKCC62U \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: d28a348745b57b250f3eb90265085ed523bfd457eebf207f2f75716f32e5fd5b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d0965cf559cffde9629d96c1d24c760f421c82b2c1a8514bcf07ac517015a92",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2026-05-15T05:43:10Z",
    "title_canon_sha256": "3465bfc6e7bbaf496a301e8aaf3d4bbb31ea430d100bf4acbc5953ff8aa99a3a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.15637",
    "kind": "arxiv",
    "version": 1
  }
}