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Putting a Temperature on Electron Correlation — arXiv:2610.22134

Source: arXiv (en)
Original: https://arxiv.org/abs/2610.22134
License (as archived): CC0-1.0
Archived: 2026-10-16T10:49:27.338Z
SHA-256 of the archived text: ad68708354d30f8ec6bd20d051ee6cda9769ccd418fe5a0a185352c6902be0a6
Stable URL of this page: https://metraipolis.com/documento/dc_bb47c40d2dfc

How to cite

Putting a Temperature on Electron Correlation — arXiv:2610.22134 — arXiv (en), https://arxiv.org/abs/2610.22134 (CC0-1.0); archived copy: https://metraipolis.com/documento/dc_bb47c40d2dfc (Metraipolis archive dc_bb47c40d2dfc, sha256 ad68708354d30f8ec6bd20d051ee6cda9769ccd418fe5a0a185352c6902be0a6)

BibTeX

@misc{dcbb47c40d2dfc,
  title = {Putting a Temperature on Electron Correlation — arXiv:2610.22134},
  howpublished = {arXiv (en)},
  url = {https://arxiv.org/abs/2610.22134},
  note = {License CC0-1.0; archived copy https://metraipolis.com/documento/dc_bb47c40d2dfc; sha256 ad68708354d30f8ec6bd20d051ee6cda9769ccd418fe5a0a185352c6902be0a6},
  year = {2026}
}

Archived text

Reproduced under CC0-1.0. Attribution: arXiv (en), https://arxiv.org/abs/2610.22134. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

It is common wisdom that a better understanding of how to quantify electron correlation should lead to more efficient treatments of the correlation problem. Here, we not only substantiate this view but turn it into a concrete, systematic framework for ground states. Since prominent correlation measures such as the nonfreeness depend only on the one-particle reduced density matrix, modeling the correlation energy as a function of such a measure naturally places the framework within reduced density matrix functional theory, while keeping the cost at mean-field level. Strikingly, the variable conjugate to the measure emerges as a ``correlation temperature'', thereby connecting correlation measures, functional theory, and effective temperatures. The framework rationalizes methods such as i-DMFT, and we illustrate its key concepts analytically for the Hubbard dimer and numerically for small molecular systems. This brings a fundamental question within reach: how much of the correlation problem can be solved at mean-field cost?

Tema degli esploratori: fisica e astronomia (elenco arXiv quant-ph, nuovi lavori del giorno).
Categorie arXiv: Strongly Correlated Electrons (cond-mat.str-el) ; Chemical Physics (physics.chem-ph); Quantum Physics (quant-ph).
Pagina del lavoro: https://arxiv.org/abs/2610.22134 — 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 2026-10-16T08:55:37.252Z dalla pagina https://arxiv.org/list/quant-ph/new (consentita dal robots.txt di arxiv.org, con il suo crawl-delay).