{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,31]],"date-time":"2026-03-31T21:01:10Z","timestamp":1774990870284,"version":"3.50.1"},"reference-count":34,"publisher":"World Scientific Pub Co Pte Ltd","issue":"03","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Open Syst. Inf. Dyn."],"published-print":{"date-parts":[[2024,9]]},"abstract":"<jats:p> In this paper we demonstrate that any Markovian master equation defining a completely positive evolution for a quantum\u2013classical hybrid state can always be written in terms of four basic coupling mechanisms. Each of them is characterized by a different \u201cbackaction\u201d\u00a0on each subsystem. On this basis, for each case, we find the conditions under which a diffusive limit is approached, that is, the time evolution can be approximated in terms of the first and second derivatives of the hybrid state with respect to a classical coordinate. In this limit, the restricted class of evolutions that guaranty the positivity of the hybrid state at all times (quantum Fokker-Planck master equations) emerges when the coupling mechanisms lead to infinitesimal (non-finite) changes in both the quantum and classical subsystems. A broader class of diffusive evolutions is obtained when positivity is only granted after a transient time or alternatively is granted after imposing an initial finite width on the state of the classical subsystem. A set of representative examples support these results. <\/jats:p>","DOI":"10.1142\/s1230161224500136","type":"journal-article","created":{"date-parts":[[2024,8,31]],"date-time":"2024-08-31T03:30:20Z","timestamp":1725075020000},"source":"Crossref","is-referenced-by-count":2,"title":["Quantum\u2013Classical Hybrid Dynamics: Coupling Mechanisms and Diffusive Approximation"],"prefix":"10.1142","volume":"31","author":[{"given":"Adri\u00e1n A.","family":"Budini","sequence":"first","affiliation":[{"name":"Consejo Nacional de Investigaciones Cient\u00edficas y T\u00e9cnicas (CONICET), Centro At\u00f3mico Bariloche, Avenida E. Bustillo Km 9.5, (8400) Bariloche, Argentina"},{"name":"Universidad Tecnol\u00f3gica Nacional (UTN-FRC), Fanny Newbery 111, (8400) Bariloche, Argentina"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2024,8,26]]},"reference":[{"key":"S1230161224500136BIB001","volume-title":"Handbook of Stochastic Methods","author":"Gardiner C. W.","year":"1985"},{"key":"S1230161224500136BIB002","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-61544-3"},{"key":"S1230161224500136BIB003","volume-title":"Stochastic Processes in Physics and Chemistry","author":"van Kampen N. G.","year":"1992","edition":"2"},{"key":"S1230161224500136BIB004","volume-title":"The Theory of Open quantum Systems","author":"Breuer H. 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