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Heat distribution of quantum fields interacting with Unruh-DeWitt detectors — arXiv:2609.06185

Source: arXiv (en)
Original: https://arxiv.org/abs/2609.06185
License (as archived): CC0-1.0
Archived: 2026-10-16T15:44:58.246Z
SHA-256 of the archived text: b77b6a2e3c4803ce8323c912189fc52101c5824a6a3b832523c11a1676fe8cb9
Stable URL of this page: https://metraipolis.com/documento/dc_cdc08ff09d9e

How to cite

Heat distribution of quantum fields interacting with Unruh-DeWitt detectors — arXiv:2609.06185 — arXiv (en), https://arxiv.org/abs/2609.06185 (CC0-1.0); archived copy: https://metraipolis.com/documento/dc_cdc08ff09d9e (Metraipolis archive dc_cdc08ff09d9e, sha256 b77b6a2e3c4803ce8323c912189fc52101c5824a6a3b832523c11a1676fe8cb9)

BibTeX

@misc{dccdc08ff09d9e,
  title = {Heat distribution of quantum fields interacting with Unruh-DeWitt detectors — arXiv:2609.06185},
  howpublished = {arXiv (en)},
  url = {https://arxiv.org/abs/2609.06185},
  note = {License CC0-1.0; archived copy https://metraipolis.com/documento/dc_cdc08ff09d9e; sha256 b77b6a2e3c4803ce8323c912189fc52101c5824a6a3b832523c11a1676fe8cb9},
  year = {2026}
}

Archived text

Reproduced under CC0-1.0. Attribution: arXiv (en), https://arxiv.org/abs/2609.06185. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

We introduce an operational framework for heat-exchange statistics between a quantum field and an Unruh-DeWitt detector in Minkowski spacetime. Using an interferometric protocol, we define the characteristic function of heat without projective measurements, consistently with relativistic causality. We derive perturbative expressions for this function and the heat distribution. In the vacuum, the statistics coincides with the low-intensity expansion of a unidirectional Poisson law, while for Kubo-Martin-Schwinger (KMS) states it has a bidirectional Poisson structure up to second order in perturbation theory. We study how fluctuation relations emerge from detector properties and field correlations, identifying regimes where they reduce to known heat-exchange fluctuation relations. We derive the entropic Landauer inequality as a specialization of the algebraic entropy-balance theorem of Jakšić and Pillet and verify it numerically within the perturbative detector-field interaction. We compare its tightness with a complementary Landauer bound derived from the full counting statistics of heat, analyzing their dependence on the detector's initial state and interaction time. We also formulate the first and second laws for the explicitly switched detector-field dynamics, identifying the external switching work that reconciles the field-energy gain with the detector-energy change. In the gapless and delta-switching regimes, where the dynamics admits a non-perturbative treatment, the characteristic function coincides with that of a bidirectional Poisson process, yielding an exact fluctuation theorem determined by the KMS condition. These results provide a consistent framework for heat statistics in relativistic quantum field theory and clarify the emergence of fluctuation relations.

Tema degli esploratori: fisica e astronomia (retro-catalogo arXiv: annunci del 2026-09-09 in quant-ph).
Categorie arXiv: General Relativity and Quantum Cosmology (gr-qc) ; High Energy Physics - Theory (hep-th); Quantum Physics (quant-ph).
Pagina del lavoro: https://arxiv.org/abs/2609.06185 — 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 2026-10-16T15:32:34.915Z dalla pagina https://arxiv.org/catchup/quant-ph/2026-09-09?abs=True (consentita dal robots.txt di arxiv.org, con il suo crawl-delay).