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Dyn."],"published-print":{"date-parts":[[2022,12]]},"abstract":"<jats:p> We determine the conditions for the equivalence between the multi-time expectation values of a general finite-dimensional open quantum system when interacting with, respectively, an environment undergoing a free unitary evolution or a discrete environment under a free evolution fixed by a proper Gorini-Kossakowski-Lindblad-Sudarshan generator. We prove that the equivalence holds if both environments are bosonic and Gaussian and if the one- and two-time correlation functions of the corresponding interaction operators are the same at all times. This result leads to a non-perturbative evaluation of the multi-time expectation values of operators and maps of open quantum systems interacting with a continuous set of bosonic modes by means of a limited number of damped modes, thus setting the ground for the investigation of open-system multi-time quantities in fully general regimes. <\/jats:p>","DOI":"10.1142\/s1230161222500196","type":"journal-article","created":{"date-parts":[[2023,2,2]],"date-time":"2023-02-02T03:26:24Z","timestamp":1675308384000},"source":"Crossref","is-referenced-by-count":8,"title":["Non-Perturbative Treatment of Open-System Multi-Time Expectation Values in Gaussian Bosonic Environments"],"prefix":"10.1142","volume":"29","author":[{"given":"Andrea","family":"Smirne","sequence":"first","affiliation":[{"name":"Dipartimento di Fisica \u201cAldo Pontremoli\u201d, Universit\u00e0 degli Studi di Milano, Via Celoria 16, 20133 Milano-Italy"},{"name":"Istituto Nazionale di Fisica Nucleare, Sezione di Milano, Via Celoria 16, 20133 Milano-Italy"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Dario","family":"Tamascelli","sequence":"additional","affiliation":[{"name":"Dipartimento di Fisica \u201cAldo Pontremoli\u201d, Universit\u00e0 degli Studi di Milano, Via Celoria 16, 20133 Milano-Italy"},{"name":"Institut f\u00fcr Theoretische Physik and Center for Integrated Quantum Science and Technology (IQST), Albert-Einstein-Allee 11, Universit\u00e4t Ulm, 89069 Ulm, Germany"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"James","family":"Lim","sequence":"additional","affiliation":[{"name":"Institut f\u00fcr Theoretische Physik and Center for Integrated Quantum Science and Technology (IQST), Albert-Einstein-Allee 11, Universit\u00e4t Ulm, 89069 Ulm, Germany"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Martin B.","family":"Plenio","sequence":"additional","affiliation":[{"name":"Institut f\u00fcr Theoretische Physik and Center for Integrated Quantum Science and Technology (IQST), Albert-Einstein-Allee 11, Universit\u00e4t Ulm, 89069 Ulm, Germany"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Susana F.","family":"Huelga","sequence":"additional","affiliation":[{"name":"Institut f\u00fcr Theoretische Physik and Center for Integrated Quantum Science and Technology (IQST), Albert-Einstein-Allee 11, Universit\u00e4t Ulm, 89069 Ulm, Germany"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2023,2,1]]},"reference":[{"key":"S1230161222500196BIB001","doi-asserted-by":"publisher","DOI":"10.2977\/prims\/1195184017"},{"key":"S1230161222500196BIB002","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.75.3020"},{"key":"S1230161222500196BIB003","doi-asserted-by":"crossref","first-page":"200403","DOI":"10.1103\/PhysRevLett.94.200403","volume":"94","author":"Alonso D.","year":"2005","journal-title":"Phys. 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