{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,3]],"date-time":"2026-03-03T00:07:38Z","timestamp":1772496458429,"version":"3.50.1"},"reference-count":65,"publisher":"MDPI AG","issue":"11","license":[{"start":{"date-parts":[[2021,11,13]],"date-time":"2021-11-13T00:00:00Z","timestamp":1636761600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"UKRI Engineering and Physical Sciences Research Council","award":["EP\/T517902\/1"],"award-info":[{"award-number":["EP\/T517902\/1"]}]},{"DOI":"10.13039\/100009566","name":"Foundational Questions Institute","doi-asserted-by":"publisher","award":["RFP-IPW-1907"],"award-info":[{"award-number":["RFP-IPW-1907"]}],"id":[{"id":"10.13039\/100009566","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100003329","name":"Ministry of Economy, Industry and Competitiveness","doi-asserted-by":"publisher","award":["FIS2016-86681-P"],"award-info":[{"award-number":["FIS2016-86681-P"]}],"id":[{"id":"10.13039\/501100003329","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100003329","name":"Ministry of Economy, Industry and Competitiveness","doi-asserted-by":"publisher","award":["PID2019-107609GB-I00\/AEI\/10.13039\/501100011033"],"award-info":[{"award-number":["PID2019-107609GB-I00\/AEI\/10.13039\/501100011033"]}],"id":[{"id":"10.13039\/501100003329","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100002809","name":"Generalitat de Catalunya","doi-asserted-by":"publisher","award":["2017-SGR-1127"],"award-info":[{"award-number":["2017-SGR-1127"]}],"id":[{"id":"10.13039\/501100002809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Entropy"],"abstract":"<jats:p>Under the influence of external environments, quantum systems can undergo various different processes, including decoherence and equilibration. We observe that macroscopic objects are both objective and thermal, thus leading to the expectation that both objectivity and thermalisation can peacefully coexist on the quantum regime too. Crucially, however, objectivity relies on distributed classical information that could conflict with thermalisation. Here, we examine the overlap between thermal and objective states. We find that in general, one cannot exist when the other is present. However, there are certain regimes where thermality and objectivity are more likely to coexist: in the high temperature limit, at the non-degenerate low temperature limit, and when the environment is large. This is consistent with our experiences that everyday-sized objects can be both thermal and objective.<\/jats:p>","DOI":"10.3390\/e23111506","type":"journal-article","created":{"date-parts":[[2021,11,14]],"date-time":"2021-11-14T20:48:36Z","timestamp":1636922916000},"page":"1506","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":8,"title":["Thermality versus Objectivity: Can They Peacefully Coexist?"],"prefix":"10.3390","volume":"23","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-6309-1753","authenticated-orcid":false,"given":"Thao P.","family":"Le","sequence":"first","affiliation":[{"name":"School of Mathematical Sciences, University of Nottingham, University Park, Nottingham NG7 2RD, UK"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-6344-4870","authenticated-orcid":false,"given":"Andreas","family":"Winter","sequence":"additional","affiliation":[{"name":"Instituci\u00f3 Catalana de Recerca i Estudis Avan\u00e7ats (ICREA), Pg. Lluis Companys, 23, 08001 Barcelona, Spain"},{"name":"Grup d\u2019Informaci\u00f3 Qu\u00e0ntica, Departament de F\u00edsica, Universitat Aut\u00f2noma de Barcelona, 08193 Barcelona, Spain"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-7136-3755","authenticated-orcid":false,"given":"Gerardo","family":"Adesso","sequence":"additional","affiliation":[{"name":"School of Mathematical Sciences, University of Nottingham, University Park, Nottingham NG7 2RD, UK"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2021,11,13]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","unstructured":"Breuer, H.P., and Petruccione, F. (2007). The Theory of Open Quantum Systems, Oxford University Press.","DOI":"10.1093\/acprof:oso\/9780199213900.001.0001"},{"key":"ref_2","doi-asserted-by":"crossref","unstructured":"Rivas, A., and Huelga, S.F. (2012). 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