Pith Number

pith:WZVTSGZJ

pith:2025:WZVTSGZJES4BOOCX7YL6L3EXCE

not attested not anchored not stored refs pending

Non-Markovian Light-Matter Dynamics in the Time Fractional Jaynes-Cummings Model with Modulated Coupling

Antonio S. M. de Castro, Danilo Cius, Enrique C. Gabrick, Ervin K. Lenzi, Fabiano M. Andrade, Thiago T. Tsutsui

A fractional time derivative in the Schrödinger equation for a time-dependent Jaynes-Cummings system produces damped oscillations or asymptotic decay in population inversion and modifies entanglement, with sinusoidal coupling preserving but

arxiv:2507.16830 v5 · 2025-07-09 · physics.gen-ph

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\usepackage{pith}
\pithnumber{WZVTSGZJES4BOOCX7YL6L3EXCE}

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Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Claims

C1strongest claim

Notably, with sinusoidal coupling, we find that non-periodic behavior is preserved under both treatments of the imaginary unit; however, with decreasing fractional order, the non-periodic dynamics can be suppressed.

C2weakest assumption

That replacing the ordinary time derivative in the Schrödinger equation with a fractional derivative (via the two specified treatments of the imaginary unit) yields a physically meaningful description of the light-matter system.

C3one line summary

Applies fractional time to the time-dependent Jaynes-Cummings model and examines effects on population inversion and entanglement across constant, linear, exponential, and sinusoidal couplings.

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-05-20T00:00:22.405864Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b66b391b2924b8173857fe17e5ec9711088293a0159515549b0d3856459388ad

Aliases

arxiv: 2507.16830 · arxiv_version: 2507.16830v5 · doi: 10.48550/arxiv.2507.16830 · pith_short_12: WZVTSGZJES4B · pith_short_16: WZVTSGZJES4BOOCX · pith_short_8: WZVTSGZJ

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/WZVTSGZJES4BOOCX7YL6L3EXCE \
  | 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: b66b391b2924b8173857fe17e5ec9711088293a0159515549b0d3856459388ad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "19deaacce93619ab88e8da9d7065ae311cf935357bf7e3f845df35e94a50c45a",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "physics.gen-ph",
    "submitted_at": "2025-07-09T22:50:18Z",
    "title_canon_sha256": "dcd14de4c19006700ec1098832fec6c3bff618ffb4f28029af6fc673236715a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.16830",
    "kind": "arxiv",
    "version": 5
  }
}