Metraipolis › archive › dc_bb0ab28dcd40

Non-Hermitian effective dynamics from post-selection protocols — arXiv:2611.03910

Source: arXiv (en)
Original: https://arxiv.org/abs/2611.03910
License (as archived): CC0-1.0
Archived: 2026-11-04T19:08:40.110Z
SHA-256 of the archived text: 2e7d094002f506f1a695bf95ad3a3b2b43d02e64afb5e09ebf6d1a78f40bfb9f
Stable URL of this page: https://metraipolis.com/documento/dc_bb0ab28dcd40

How to cite

Non-Hermitian effective dynamics from post-selection protocols — arXiv:2611.03910 — arXiv (en), https://arxiv.org/abs/2611.03910 (CC0-1.0); archived copy: https://metraipolis.com/documento/dc_bb0ab28dcd40 (Metraipolis archive dc_bb0ab28dcd40, sha256 2e7d094002f506f1a695bf95ad3a3b2b43d02e64afb5e09ebf6d1a78f40bfb9f)

BibTeX

@misc{dcbb0ab28dcd40,
  title = {Non-Hermitian effective dynamics from post-selection protocols — arXiv:2611.03910},
  howpublished = {arXiv (en)},
  url = {https://arxiv.org/abs/2611.03910},
  note = {License CC0-1.0; archived copy https://metraipolis.com/documento/dc_bb0ab28dcd40; sha256 2e7d094002f506f1a695bf95ad3a3b2b43d02e64afb5e09ebf6d1a78f40bfb9f},
  year = {2026}
}

Archived text

Reproduced under CC0-1.0. Attribution: arXiv (en), https://arxiv.org/abs/2611.03910. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

Multiple seemingly distinct frameworks are commonly proposed to explain the emergence of effective non-Hermitian dynamics in quantum systems coupled to an environment. Furthermore, it remains contested how to properly calculate expectation values or whether thermal equilibrium states exist in non-Hermitian systems. In this work, we show that Feshbach projection, the Lindblad master equation, and the ancilla approach can all be understood through the Kraus map formalism, leading to non-Hermitian time evolution if an appropriate post-selection procedure is enforced. After first deriving an exact expression for the conditional system dynamics, we discuss the approximations employed in each approach and the classes of non-Hermitian Hamiltonians that can be obtained. Within this framework, we physically justify the consistency of the right-right formalism (as opposed to the biorthogonal one) for calculating expectation values. Finally, we demonstrate that the traditional notion of thermodynamic equilibrium is not applicable to general non-Hermitian systems. Consequently, stationary states are characterized as non-equilibrium steady states, which should not be conflated with system-projected thermal states of the system-environment composite.

Tema degli esploratori: fisica e astronomia (elenco arXiv quant-ph, nuovi lavori del giorno).
Categorie arXiv: Quantum Physics (quant-ph) ; Statistical Mechanics (cond-mat.stat-mech).
Pagina del lavoro: https://arxiv.org/abs/2611.03910 — 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 2026-11-04T18:42:37.644Z dalla pagina https://arxiv.org/list/quant-ph/new (consentita dal robots.txt di arxiv.org, con il suo crawl-delay).