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We use the quantum Fisher information (QFI) approach to quantify the sensitivity in the temperature estimation, and apply a finite-size scaling framework to link this sensitivity to critical exponents of the system around critical points. We numerically calculate the QFI around the critical points for two experimentally-realizable systems: the spin-1 Bose-Einstein condensate and the spin-chain Heisenberg XX model in the presence of an external magnetic field. Our results confirm finite-size scaling properties of the QFI. Furthermore, we discuss experimentally-accessible observables that (nearly) saturate the QFI at the critical points for these two systems.<\/jats:p>","DOI":"10.22331\/q-2022-09-19-808","type":"journal-article","created":{"date-parts":[[2022,9,19]],"date-time":"2022-09-19T14:02:23Z","timestamp":1663596143000},"page":"808","update-policy":"https:\/\/doi.org\/10.22331\/q-crossmark-policy-page","source":"Crossref","is-referenced-by-count":19,"title":["Critical quantum thermometry and its feasibility in spin systems"],"prefix":"10.22331","volume":"6","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-6946-4098","authenticated-orcid":false,"given":"Enes","family":"Aybar","sequence":"first","affiliation":[{"name":"ICFO - Institut de Ciencies Fotoniques, The Barcelona Institute of Science and Technology, 08860 Castelldefels, Barcelona, Spain"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-2263-2725","authenticated-orcid":false,"given":"Artur","family":"Niezgoda","sequence":"additional","affiliation":[{"name":"ICFO - Institut de Ciencies Fotoniques, The Barcelona Institute of Science and Technology, 08860 Castelldefels, Barcelona, Spain"},{"name":"Faculty of Physics, University of Warsaw, ul. Pasteura 5, PL-02-093 Warsaw, Poland"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-4154-8465","authenticated-orcid":false,"given":"Safoura S.","family":"Mirkhalaf","sequence":"additional","affiliation":[{"name":"Department of Physics, University of Tehran, P.O. Box 14395-547, Tehran, Iran"},{"name":"School of Nano Science, Institute for Research in Fundamental Sciences (IPM), P.O. Box 19395-5531, Tehran, Iran"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-8949-9407","authenticated-orcid":false,"given":"Morgan W.","family":"Mitchell","sequence":"additional","affiliation":[{"name":"ICFO - Institut de Ciencies Fotoniques, The Barcelona Institute of Science and Technology, 08860 Castelldefels, Barcelona, Spain"},{"name":"ICREA - Instituci\u00f3 Catalana de Recerca i Estudis Avan\u00e7ats, 08010 Barcelona, Spain"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-8098-012X","authenticated-orcid":false,"given":"Daniel","family":"Benedicto Orenes","sequence":"additional","affiliation":[{"name":"ICFO - Institut de Ciencies Fotoniques, The Barcelona Institute of Science and Technology, 08860 Castelldefels, Barcelona, Spain"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-4622-8513","authenticated-orcid":false,"given":"Emilia","family":"Witkowska","sequence":"additional","affiliation":[{"name":"Institute of Physics PAS, Aleja Lotnikow 32\/46, 02-668 Warszawa, Poland"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"9598","published-online":{"date-parts":[[2022,9,19]]},"reference":[{"key":"0","doi-asserted-by":"publisher","unstructured":"Carl W. 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