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Time-Resolved Edge Flux on the SU(3) Triangle: A Cooperative-Decay Graph Framework with Exact Bateman Solutions — arXiv:2608.22664

Source: arXiv (en)
Original: https://arxiv.org/abs/2608.22664
License (as archived): CC0-1.0
Archived: 2026-10-18T09:35:23.101Z
SHA-256 of the archived text: 6826df2787c5f9031c1ded1f1f57a94a40fc6468644925ac62458414237a180d
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How to cite

Time-Resolved Edge Flux on the SU(3) Triangle: A Cooperative-Decay Graph Framework with Exact Bateman Solutions — arXiv:2608.22664 — arXiv (en), https://arxiv.org/abs/2608.22664 (CC0-1.0); archived copy: https://metraipolis.com/documento/dc_115ff00352eb (Metraipolis archive dc_115ff00352eb, sha256 6826df2787c5f9031c1ded1f1f57a94a40fc6468644925ac62458414237a180d)

BibTeX

@misc{dc115ff00352eb,
  title = {Time-Resolved Edge Flux on the SU(3) Triangle: A Cooperative-Decay Graph Framework with Exact Bateman Solutions — arXiv:2608.22664},
  howpublished = {arXiv (en)},
  url = {https://arxiv.org/abs/2608.22664},
  note = {License CC0-1.0; archived copy https://metraipolis.com/documento/dc_115ff00352eb; sha256 6826df2787c5f9031c1ded1f1f57a94a40fc6468644925ac62458414237a180d},
  year = {2026}
}

Archived text

Reproduced under CC0-1.0. Attribution: arXiv (en), https://arxiv.org/abs/2608.22664. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

Cooperative emission from three-level ensembles is conventionally diagnosed through the radiated intensity alone, which cannot say which channels carry the photons at each instant. We promote every transition of the cooperative-decay graph into a time-dependent edge flux and show that node-wise conservation of this flux is an exact restatement of the Pauli master equation. Suppose the graph carries a depth function that decreases by one along every edge. Then the total cooperative rate is the descent speed of the mean graph depth, and its energy-weighted form gives the radiated intensity as $I(t)=-\dd\langle E\rangle/\dd t$ for arbitrary level spacings. The same ordering triangularizes the generator. This delivers the relaxation spectrum from the state exit rates, together with a generalized Bateman closed form for every population on an arbitrary finite directed acyclic graph, in which all exit-rate degeneracies are absorbed into a polynomial-times-exponential recursion.

Tema degli esploratori: fisica e astronomia (retro-catalogo arXiv: annunci del 2026-08-25 in quant-ph).
Categorie arXiv: Quantum Physics (quant-ph) ; Mathematical Physics (math-ph).
Pagina del lavoro: https://arxiv.org/abs/2608.22664 — autori e testo completo sono lì (qui omessi i nomi: nessun dato personale nel deposito).
Licenza: titolo e abstract sono metadati arXiv distribuiti in CC0 1.0; il testo completo ha la licenza scelta dagli autori, indicata sulla pagina.
Letto il 2026-10-18T09:27:54.394Z dalla pagina https://arxiv.org/catchup/quant-ph/2026-08-25?abs=True (consentita dal robots.txt di arxiv.org, con il suo crawl-delay).