Pith Number

pith:ISTPC2WB

pith:2026:ISTPC2WBPBNJLGJ2DWZKI5NLQA

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Quantum chaos with graphs: a silicon photonics plateform

B. Dietz, B. Odouard, C. Lafargue, H. Girin, J.-R. Coudevylle, M. Lebental, S. Bittner, X. Ch\'ecoury

A silicon photonics platform realizes quantum graphs where mixing chaotic networks show spectral statistics matching random matrix theory predictions, unlike ergodic ones.

arxiv:2605.12538 v1 · 2026-05-05 · quant-ph · physics.ins-det

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\pithnumber{ISTPC2WBPBNJLGJ2DWZKI5NLQA}

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3 Author claim open · sign in to claim

4 Citations open

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Claims

C1strongest claim

We experimentally demonstrated that the spectral statistics of a mixing (i.e. strongly chaotic) graph follows the predictions of random matrix theory, contrary to an ergodic (i.e. less chaotic) graph, in agreement with the Bohigas-Giannoni-Schmit conjecture.

C2weakest assumption

The fabricated photonic waveguide networks precisely realize the intended quantum graph topologies from Kottos and Smilansky without significant fabrication imperfections affecting the measured spectra.

C3one line summary

A silicon photonics waveguide network implements quantum graphs, experimentally confirming that strongly chaotic versions exhibit random matrix theory spectral statistics unlike less chaotic ones.

References

54 extracted · 54 resolved · 0 Pith anchors

[1] It means that 1 is an eigenvalue ofFcorresponding to the eigenvector (V) i = 1 2B

[2] T. Kottos and U. Smilansky, Quantum chaos on graphs, Phys. Rev. Lett.79, 10.1103/PhysRevLett.79.4794 (1997) 1997 · doi:10.1103/physrevlett.79.4794

[3] T. Kottos and U. Smilansky, Periodic Orbit Theory and Spectral Statistics for Quantum Graphs, Ann. Phys.274, 76 (1999) 1999

[4] G. Berkolaiko and P. Kuchment,Introduction to Quan- tum Graphs(American Mathematical Society, Provi- dence, RI, 2013) 2013

[5] S. Gnutzmann and U. Smilansky, Quantum graphs: Ap- plications to quantum chaos and universal spectral statis- tics, Adv. Phys.55, 10.1080/00018730600908042 (2006) 2006 · doi:10.1080/00018730600908042

Receipt and verification

First computed	2026-05-18T03:10:02.407000Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

44a6f16ac1785a95993a1db2a475ab8008c7006343683d2253af679e6ee61484

Aliases

arxiv: 2605.12538 · arxiv_version: 2605.12538v1 · doi: 10.48550/arxiv.2605.12538 · pith_short_12: ISTPC2WBPBNJ · pith_short_16: ISTPC2WBPBNJLGJ2 · pith_short_8: ISTPC2WB

Agent API

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/ISTPC2WBPBNJLGJ2DWZKI5NLQA \
  | 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: 44a6f16ac1785a95993a1db2a475ab8008c7006343683d2253af679e6ee61484

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ed21a2acbc2e6e8c08caa022cf725ab261d7a4ac43bf40378ac7766d0f452d4c",
    "cross_cats_sorted": [
      "physics.ins-det"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-05-05T09:12:01Z",
    "title_canon_sha256": "08b53c8df4c7a855c58bd58fe8b046c3950ab3d89a311a6feb1c152e49258d1f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.12538",
    "kind": "arxiv",
    "version": 1
  }
}