{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,9]],"date-time":"2026-04-09T01:11:48Z","timestamp":1775697108669,"version":"3.50.1"},"reference-count":28,"publisher":"MDPI AG","issue":"2","license":[{"start":{"date-parts":[[2021,1,27]],"date-time":"2021-01-27T00:00:00Z","timestamp":1611705600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"The program of the Polish Minister of Science and Higher Education under the name \u201cRegional Initiative of Excellence\u201d in 2019-2022","award":["003\/RID\/2018\/19"],"award-info":[{"award-number":["003\/RID\/2018\/19"]}]},{"name":"The ERDF\/ESF project \u201cNanotechnologies for Future\u201d","award":["CZ.02.1.01\/0.0\/0.0\/16_019\/0000754"],"award-info":[{"award-number":["CZ.02.1.01\/0.0\/0.0\/16_019\/0000754"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>We consider a PT-symmetric system that involves three optical resonant elements coupled together. We investigate the quantum correlations between subsystems by calculating bipartite and tripartite entanglement. We show that when PT-symmetry is maintained, the correlations between subsystems strongly depend on the parameters describing the interaction between them and characterizing the gain and loss of energy in the system\u2019s active and passive elements. We estimate the range of interaction parameter values for which the strongest bipartite and tripartite entanglement can be produced. Additionally, we show that the discussed system can be a source of stable entangled states.<\/jats:p>","DOI":"10.3390\/sym13020203","type":"journal-article","created":{"date-parts":[[2021,1,27]],"date-time":"2021-01-27T12:20:26Z","timestamp":1611750026000},"page":"203","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":4,"title":["The Bipartite and Tripartite Entanglement in PT-Symmetric System"],"prefix":"10.3390","volume":"13","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-1497-3025","authenticated-orcid":false,"given":"Vinh","family":"Le Duc","sequence":"first","affiliation":[{"name":"Quantum Optics and Engineering Division, Institute of Physics, University of Zielona G\u00f3ra, Prof. Z. Szafrana 4a, 65-516 Zielona G\u00f3ra, Poland"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-6492-1325","authenticated-orcid":false,"given":"Mateusz","family":"Nowotarski","sequence":"additional","affiliation":[{"name":"Quantum Optics and Engineering Division, Institute of Physics, University of Zielona G\u00f3ra, Prof. Z. Szafrana 4a, 65-516 Zielona G\u00f3ra, Poland"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-8957-1509","authenticated-orcid":false,"given":"Joanna K.","family":"Kalaga","sequence":"additional","affiliation":[{"name":"Quantum Optics and Engineering Division, Institute of Physics, University of Zielona G\u00f3ra, Prof. Z. Szafrana 4a, 65-516 Zielona G\u00f3ra, Poland"},{"name":"Joint Laboratory of Optics of Palack\u00fd University and Institute of Physics of CAS, Faculty of Science, Palack\u00fd University, 17. listopadu 12, 771 46 Olomouc, Czech Republic"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2021,1,27]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"5243","DOI":"10.1103\/PhysRevLett.80.5243","article-title":"Real Spectra in Non-Hermitian Hamiltonians Having PT Symmetry","volume":"80","author":"Bender","year":"1998","journal-title":"Phys. Rev. Lett."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"270401","DOI":"10.1103\/PhysRevLett.89.270401","article-title":"Complex Extension of Quantum Mechanics","volume":"89","author":"Bender","year":"2002","journal-title":"Phys. Rev. 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D."}],"container-title":["Symmetry"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/2073-8994\/13\/2\/203\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T05:16:06Z","timestamp":1760159766000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/2073-8994\/13\/2\/203"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021,1,27]]},"references-count":28,"journal-issue":{"issue":"2","published-online":{"date-parts":[[2021,2]]}},"alternative-id":["sym13020203"],"URL":"https:\/\/doi.org\/10.3390\/sym13020203","relation":{},"ISSN":["2073-8994"],"issn-type":[{"value":"2073-8994","type":"electronic"}],"subject":[],"published":{"date-parts":[[2021,1,27]]}}}