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A Study of Fluctuation Growths of Observables in Open Quantum Systems — arXiv:2611.05604

Source: arXiv (en)
Original: https://arxiv.org/abs/2611.05604
License (as archived): CC0-1.0
Archived: 2026-11-05T18:32:43.030Z
SHA-256 of the archived text: 4523692fee237f20d5a6a06780cdc601071dadb54b129776285634be46edb647
Stable URL of this page: https://metraipolis.com/documento/dc_a67140bf6c2c

How to cite

A Study of Fluctuation Growths of Observables in Open Quantum Systems — arXiv:2611.05604 — arXiv (en), https://arxiv.org/abs/2611.05604 (CC0-1.0); archived copy: https://metraipolis.com/documento/dc_a67140bf6c2c (Metraipolis archive dc_a67140bf6c2c, sha256 4523692fee237f20d5a6a06780cdc601071dadb54b129776285634be46edb647)

BibTeX

@misc{dca67140bf6c2c,
  title = {A Study of Fluctuation Growths of Observables in Open Quantum Systems — arXiv:2611.05604},
  howpublished = {arXiv (en)},
  url = {https://arxiv.org/abs/2611.05604},
  note = {License CC0-1.0; archived copy https://metraipolis.com/documento/dc_a67140bf6c2c; sha256 4523692fee237f20d5a6a06780cdc601071dadb54b129776285634be46edb647},
  year = {2026}
}

Archived text

Reproduced under CC0-1.0. Attribution: arXiv (en), https://arxiv.org/abs/2611.05604. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

The rate at which quantum fluctuations of observables can change provides a useful characterization of the dynamical behavior of quantum systems. For closed quantum systems undergoing unitary evolution, previous work has established a general upper bound on the growth rate of the uncertainty of an observable in terms of the standard deviation of its dynamical velocity. This result is closely related to quantum acceleration limits and provides a compact constraint on fluctuation growth. In this work, we will briefly review the closed system results and extend this perspective to open quantum systems, where the state evolves nonunitarily as a consequence of interactions with an environment. The central result is an upper bound on the rate of growth of the uncertainty of an observable that remains valid for general density-matrix dynamics. We develop two complementary derivations. The first introduces a Hermitian pseudo-Hamiltonian describing the local unitary evolution of the eigenvectors of the density matrix. The second, and more general, derivation proceeds directly from the density-matrix derivative and therefore does not require knowledge of the generator of the dynamics. Both approaches lead to the same fluctuation-growth bound. An important practical advantage is that the bound can be evaluated from the observable, the state, and its time derivative without requiring reconstruction of the complete dynamical generator.

Tema degli esploratori: fisica e astronomia (elenco arXiv quant-ph, nuovi lavori del giorno).
Categorie arXiv: Quantum Physics (quant-ph).
Pagina del lavoro: https://arxiv.org/abs/2611.05604 — 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 2026-11-05T18:22:49.012Z dalla pagina https://arxiv.org/list/quant-ph/new (consentita dal robots.txt di arxiv.org, con il suo crawl-delay).