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Indistinguishability Theory for Identical Particles with Invariant Degrees of Freedom — arXiv:2609.14428

Source: arXiv (en)
Original: https://arxiv.org/abs/2609.14428
License (as archived): CC0-1.0
Archived: 2026-10-16T02:24:21.982Z
SHA-256 of the archived text: 95024ec13f6dbd864877ba85cb95dbaabffe330e60c44a2e80d271287b883183
Stable URL of this page: https://metraipolis.com/documento/dc_76ea982bd987

How to cite

Indistinguishability Theory for Identical Particles with Invariant Degrees of Freedom — arXiv:2609.14428 — arXiv (en), https://arxiv.org/abs/2609.14428 (CC0-1.0); archived copy: https://metraipolis.com/documento/dc_76ea982bd987 (Metraipolis archive dc_76ea982bd987, sha256 95024ec13f6dbd864877ba85cb95dbaabffe330e60c44a2e80d271287b883183)

BibTeX

@misc{dc76ea982bd987,
  title = {Indistinguishability Theory for Identical Particles with Invariant Degrees of Freedom — arXiv:2609.14428},
  howpublished = {arXiv (en)},
  url = {https://arxiv.org/abs/2609.14428},
  note = {License CC0-1.0; archived copy https://metraipolis.com/documento/dc_76ea982bd987; sha256 95024ec13f6dbd864877ba85cb95dbaabffe330e60c44a2e80d271287b883183},
  year = {2026}
}

Archived text

Reproduced under CC0-1.0. Attribution: arXiv (en), https://arxiv.org/abs/2609.14428. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

Identical particles have dynamically invariant labels in all setups where their degrees of freedom can be partitioned into two parts, which we call internal and visible, with the visible part subject to unitary evolution, while the dynamically invariant internal part accounts for the partial distinguishability of particles. We give the explicit form of the visible state in terms of the indistinguishability function, generalizing the standard symmetrization/antisymmetrization postulate for bosons/fermions with internal modes. The indistinguishability function on the symmetric group accounts for the permutation symmetry of the dynamically invariant label state and gives a self-contained description of the symmetry spectrum of the visible state. It is shown that the indistinguishability of single particles emitted independently from a stable source is completely characterized by the projective measures on the symmetry spectrum. We reveal a hierarchy of successive upper bounds on the projective measure of indistinguishability in terms of marginal projective measures. We point out an experimentally feasible way to get the upper bounds on the indistinguishability of an arbitrarily large number of single photons by direct experimental readout of their marginal projective measures. We also analyze the indistinguishability of coherent superpositions and convex mixtures and resolve a recently posed problem.

Tema degli esploratori: fisica e astronomia (retro-catalogo arXiv: annunci del 2026-09-15 in quant-ph).
Categorie arXiv: Quantum Physics (quant-ph) ; Mathematical Physics (math-ph).
Pagina del lavoro: https://arxiv.org/abs/2609.14428 — 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 2026-10-16T01:57:57.021Z dalla pagina https://arxiv.org/catchup/quant-ph/2026-09-15?abs=True (consentita dal robots.txt di arxiv.org, con il suo crawl-delay).