{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T02:26:44Z","timestamp":1760149604438,"version":"build-2065373602"},"reference-count":42,"publisher":"MDPI AG","issue":"9","license":[{"start":{"date-parts":[[2023,8,24]],"date-time":"2023-08-24T00:00:00Z","timestamp":1692835200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Brazilian agencies CNPq","award":["310265\/2020-7","210.296\/2019","465469\/2014-0"],"award-info":[{"award-number":["310265\/2020-7","210.296\/2019","465469\/2014-0"]}]},{"name":"CAPES","award":["310265\/2020-7","210.296\/2019","465469\/2014-0"],"award-info":[{"award-number":["310265\/2020-7","210.296\/2019","465469\/2014-0"]}]},{"name":"CAPES-PRINT Program","award":["310265\/2020-7","210.296\/2019","465469\/2014-0"],"award-info":[{"award-number":["310265\/2020-7","210.296\/2019","465469\/2014-0"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Entropy"],"abstract":"<jats:p>We discuss the emulation of non-Hermitian dynamics during a given time window using a low-dimensional quantum system coupled to a finite set of equidistant discrete states acting as an effective continuum. We first emulate the decay of an unstable state and map the quasi-continuum parameters, enabling the precise approximation of non-Hermitian dynamics. The limitations of this model, including in particular short- and long-time deviations, are extensively discussed. We then consider a driven two-level system and establish criteria for non-Hermitian dynamics emulation with a finite quasi-continuum. We quantitatively analyze the signatures of the finiteness of the effective continuum, addressing the possible emergence of non-Markovian behavior during the time interval considered. Finally, we investigate the emulation of dissipative dynamics using a finite quasi-continuum with a tailored density of states. We show through the example of a two-level system that such a continuum can reproduce non-Hermitian dynamics more efficiently than the usual equidistant quasi-continuum model.<\/jats:p>","DOI":"10.3390\/e25091256","type":"journal-article","created":{"date-parts":[[2023,8,24]],"date-time":"2023-08-24T10:06:48Z","timestamp":1692871608000},"page":"1256","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Emulating Non-Hermitian Dynamics in a Finite Non-Dissipative Quantum System"],"prefix":"10.3390","volume":"25","author":[{"given":"Eloi","family":"Flament","sequence":"first","affiliation":[{"name":"Laboratoire Collisions, Agr\u00e9gats, R\u00e9activit\u00e9, FeRMI, Universit\u00e9 de Toulouse, CNRS, UPS, 118 Route de Narbonne, 31062 Toulouse, France"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-4949-9717","authenticated-orcid":false,"given":"Fran\u00e7ois","family":"Impens","sequence":"additional","affiliation":[{"name":"Instituto de F\u00edsica, Universidade Federal do Rio de Janeiro, Rio de Janeiro 21941-972, RJ, Brazil"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"David","family":"Gu\u00e9ry-Odelin","sequence":"additional","affiliation":[{"name":"Laboratoire Collisions, Agr\u00e9gats, R\u00e9activit\u00e9, FeRMI, Universit\u00e9 de Toulouse, CNRS, UPS, 118 Route de Narbonne, 31062 Toulouse, France"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2023,8,24]]},"reference":[{"key":"ref_1","first-page":"1053","article-title":"Contribution to the Decay Theory of a Quasi-Stationary State","volume":"6","author":"Khalfin","year":"1958","journal-title":"Sov. 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