{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T02:41:09Z","timestamp":1760150469079,"version":"build-2065373602"},"reference-count":106,"publisher":"MDPI AG","issue":"12","license":[{"start":{"date-parts":[[2023,12,7]],"date-time":"2023-12-07T00:00:00Z","timestamp":1701907200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"PNRR MUR project","award":["PE0000023-NQSTI","PRJ-0232","No. 2021C-196"],"award-info":[{"award-number":["PE0000023-NQSTI","PRJ-0232","No. 2021C-196"]}]},{"name":"Impact of Climate Change on the Biogeochemistry of Contaminants in the Mediterranean Sea (ICCC)","award":["PE0000023-NQSTI","PRJ-0232","No. 2021C-196"],"award-info":[{"award-number":["PE0000023-NQSTI","PRJ-0232","No. 2021C-196"]}]},{"name":"Institute for Advanced Theoretical and Experimental Physics","award":["PE0000023-NQSTI","PRJ-0232","No. 2021C-196"],"award-info":[{"award-number":["PE0000023-NQSTI","PRJ-0232","No. 2021C-196"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>The class of two-interacting-qubit spin\u2013boson models with vanishing transverse fields on the spin-pair is studied. The model can be mapped exactly into two independent standard single-impurity spin\u2013boson models where the role of the tunneling parameter is played by the spin\u2013spin coupling. The dynamics of the magnetization are analyzed for different levels of (an)isotropy. The existence of a decoherence-free subspace, as well as of different classical regimes separated by a critical temperature, and symptoms of quantum (first-order and Kosterlitz\u2013Thouless type) phase transitions in the Ohmic regime are brought to light.<\/jats:p>","DOI":"10.3390\/sym15122174","type":"journal-article","created":{"date-parts":[[2023,12,7]],"date-time":"2023-12-07T10:45:33Z","timestamp":1701945933000},"page":"2174","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Characterization of Quantum and Classical Critical Points for an Integrable Two-Qubit Spin\u2013Boson Model"],"prefix":"10.3390","volume":"15","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-2363-7699","authenticated-orcid":false,"given":"Roberto","family":"Grimaudo","sequence":"first","affiliation":[{"name":"Dipartimento di Fisica e Astronomia \u201cE. Majorana\", Universit\u00e0 degli Studi di Catania, Via S. Sofia 64, I-95123 Catania, Italy"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-3367-0129","authenticated-orcid":false,"given":"Antonino","family":"Messina","sequence":"additional","affiliation":[{"name":"Dipartimento di Matematica e Infrormatica, Universit\u00e0 degli Studi di Palermo, Via Archirafi 34, I-90123 Palermo, Italy"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-5257-7309","authenticated-orcid":false,"given":"Hiromichi","family":"Nakazato","sequence":"additional","affiliation":[{"name":"Department of Physics, Waseda University, Tokyo 169-8555, Japan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-3954-0445","authenticated-orcid":false,"given":"Alessandro","family":"Sergi","sequence":"additional","affiliation":[{"name":"Dipartimento di Scienze Matematiche e Informatiche, Scienze Fisiche e Scienze della Terra, Universit\u00e0 degli Studi di Messina, Viale F. Stagno d\u2019Alcontres 31, I-98166 Messina, Italy"},{"name":"Institute of Systems Science, Durban University of Technology, P.O. Box 1334, Durban 4000, South Africa"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-5496-1518","authenticated-orcid":false,"given":"Davide","family":"Valenti","sequence":"additional","affiliation":[{"name":"Dipartimento di Fisica e Chimica \u201cEmilio Segr\u00e8\", Universit\u00e0 degli Studi di Palermo, Viale delle Scienze, Ed. 18, I-90128 Palermo, Italy"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2023,12,7]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","unstructured":"Breuer, H.P., and Petruccione, F. (2002). The Theory of Open Quantum Systems, Oxford University Press on Demand.","DOI":"10.1007\/3-540-44874-8_4"},{"key":"ref_2","unstructured":"Nielsen, M.A., and Chuang, I.L. (2010). 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