{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,9,17]],"date-time":"2026-09-17T06:21:00Z","timestamp":1789626060611,"version":"build-2803163510"},"reference-count":55,"publisher":"American Association for the Advancement of Science (AAAS)","issue":"6816","funder":[{"DOI":"10.13039\/501100001659","name":"Deutsche Forschungsgemeinschaft","doi-asserted-by":"publisher","award":["CRC\/TR 185 (277625399)"],"award-info":[{"award-number":["CRC\/TR 185 (277625399)"]}],"id":[{"id":"10.13039\/501100001659","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001659","name":"Deutsche Forschungsgemeinschaft","doi-asserted-by":"publisher","award":["Cluster of excellence ML4Q EXC 2004\/1-390534769"],"award-info":[{"award-number":["Cluster of excellence ML4Q EXC 2004\/1-390534769"]}],"id":[{"id":"10.13039\/501100001659","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001659","name":"Deutsche Forschungsgemeinschaft","doi-asserted-by":"publisher","award":["CRC\/TRR 288 (422213477, 355 project A03)"],"award-info":[{"award-number":["CRC\/TRR 288 (422213477, 355 project A03)"]}],"id":[{"id":"10.13039\/501100001659","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001711","name":"Swiss National Science Foundation","doi-asserted-by":"publisher","award":["200021_178825"],"award-info":[{"award-number":["200021_178825"]}],"id":[{"id":"10.13039\/501100001711","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001711","name":"Swiss National Science Foundation","doi-asserted-by":"publisher","award":["200021_219807"],"award-info":[{"award-number":["200021_219807"]}],"id":[{"id":"10.13039\/501100001711","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001711","name":"Swiss National Science Foundation","doi-asserted-by":"publisher","award":["200021_215423"],"award-info":[{"award-number":["200021_215423"]}],"id":[{"id":"10.13039\/501100001711","id-type":"DOI","asserted-by":"publisher"}]},{"name":"JST PRESTO","award":["JPMJPR23H9"],"award-info":[{"award-number":["JPMJPR23H9"]}]},{"name":"JSPS KAKENHI","award":["24H00413"],"award-info":[{"award-number":["24H00413"]}]},{"name":"JSPS KAKENHI","award":["24H01639"],"award-info":[{"award-number":["24H01639"]}]},{"name":"CRC\/TRR 288","award":["422213477, project A03"],"award-info":[{"award-number":["422213477, project A03"]}]},{"name":"DAE through Basic Research in Physical and Multidisciplinary Sciences","award":["RIN4001"],"award-info":[{"award-number":["RIN4001"]}]},{"name":"DAE through NISER and SERB through SERB SRG","award":["SRG\/2022\/000290"],"award-info":[{"award-number":["SRG\/2022\/000290"]}]},{"name":"DAE through Basic Research in Physical and Multidisciplinary Sciences","award":["RNI4011"],"award-info":[{"award-number":["RNI4011"]}]}],"content-domain":{"domain":["www.science.org"],"crossmark-restriction":true},"short-container-title":["Science"],"published-print":{"date-parts":[[2026,9,10]]},"abstract":"<jats:p>Across regular phase transitions, systems remain in thermal equilibrium. However, when a system is driven far from equilibrium, non-Hermitian phase transitions may arise where the dynamical behavior\u2014rather than steady properties\u2014undergoes a qualitative change at a critical, so-called exceptional point. We experimentally realize a non-Hermitian phase transition in a bulk condensed-matter system. Optical excitation creates charge carriers in ferromagnetic europium monoxide. In a temperature-dependent interplay with the Hermitian transition to ferromagnetic order, a non-Hermitian change of the relaxation dynamics occurs, manifesting in our time-resolved reflection data as the transition from biexponential real to single-exponential complex decay. Our theory models this behavior and suggests that non-Hermitian phase transitions may generically emerge in bulk condensed matter.<\/jats:p>","DOI":"10.1126\/science.ady4670","type":"journal-article","created":{"date-parts":[[2026,9,10]],"date-time":"2026-09-10T18:00:33Z","timestamp":1789063233000},"page":"1152-1155","update-policy":"https:\/\/doi.org\/10.34133\/aaas_crossmark","source":"Crossref","is-referenced-by-count":1,"title":["Discovery of an intrinsic non-Hermitian phase transition in a bulk condensed-matter system"],"prefix":"10.1126","volume":"393","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-6416-3648","authenticated-orcid":true,"given":"Jingwen","family":"Li","sequence":"first","affiliation":[{"name":"Department of Materials, ETH Zurich, Zurich, Switzerland."}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0009-0003-8566-5078","authenticated-orcid":true,"given":"Michael","family":"Turaev","sequence":"additional","affiliation":[{"name":"Physikalisches Institut and Bethe Center for Theoretical Physics, University of Bonn, Bonn, Germany."}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-5376-7414","authenticated-orcid":true,"given":"Masakazu","family":"Matsubara","sequence":"additional","affiliation":[{"name":"Division of Materials Physics, Graduate School of Engineering Science, The University of Osaka, Toyonaka, Osaka, Japan."},{"name":"Department of Physics, Tohoku University, Sendai, Japan."},{"name":"PRESTO, Japan Science and Technology Agency (JST), Kawaguchi, Japan."}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-7415-4158","authenticated-orcid":true,"given":"Kristin","family":"Kliemt","sequence":"additional","affiliation":[{"name":"Physikalisches Institut, Goethe-Universit\u00e4t Frankfurt, Frankfurt, Germany."}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-0671-7729","authenticated-orcid":true,"given":"Cornelius","family":"Krellner","sequence":"additional","affiliation":[{"name":"Physikalisches Institut, Goethe-Universit\u00e4t Frankfurt, Frankfurt, Germany."}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-1222-9852","authenticated-orcid":true,"given":"Shovon","family":"Pal","sequence":"additional","affiliation":[{"name":"School of Physical Sciences, National Institute of Science Education and Research, An OCC of HBNI, Jatni, Odisha, India."}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-4998-7179","authenticated-orcid":true,"given":"Manfred","family":"Fiebig","sequence":"additional","affiliation":[{"name":"Department of Materials, ETH Zurich, Zurich, Switzerland."}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-3340-9166","authenticated-orcid":true,"given":"Johann","family":"Kroha","sequence":"additional","affiliation":[{"name":"Physikalisches Institut and Bethe Center for Theoretical Physics, University of Bonn, Bonn, Germany."},{"name":"School of Physics and Astronomy, University of St Andrews, North Haugh, St Andrews, UK."}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"221","reference":[{"key":"e_1_3_2_2_2","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.76.4250"},{"key":"e_1_3_2_3_2","doi-asserted-by":"publisher","DOI":"10.1126\/science.1197294"},{"key":"e_1_3_2_4_2","doi-asserted-by":"publisher","DOI":"10.1126\/science.aaw4911"},{"key":"e_1_3_2_5_2","doi-asserted-by":"publisher","DOI":"10.1038\/s41586-018-0809-4"},{"key":"e_1_3_2_6_2","doi-asserted-by":"publisher","DOI":"10.1103\/RevModPhys.82.2731"},{"key":"e_1_3_2_7_2","doi-asserted-by":"publisher","DOI":"10.1038\/s41578-023-00566-w"},{"key":"e_1_3_2_8_2","doi-asserted-by":"publisher","DOI":"10.1080\/00018732.2021.1876991"},{"key":"e_1_3_2_9_2","doi-asserted-by":"publisher","DOI":"10.1088\/1751-8113\/45\/44\/444016"},{"key":"e_1_3_2_10_2","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevResearch.6.L022013"},{"key":"e_1_3_2_11_2","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.122.185301"},{"key":"e_1_3_2_12_2","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevX.14.021052"},{"key":"e_1_3_2_13_2","doi-asserted-by":"publisher","DOI":"10.1126\/science.aaw8205"},{"key":"e_1_3_2_14_2","doi-asserted-by":"publisher","DOI":"10.1126\/sciadv.aax9144"},{"key":"e_1_3_2_15_2","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.103.093902"},{"key":"e_1_3_2_16_2","doi-asserted-by":"publisher","DOI":"10.1038\/nphys1515"},{"key":"e_1_3_2_17_2","doi-asserted-by":"publisher","DOI":"10.1038\/s41565-023-01408-0"},{"key":"e_1_3_2_18_2","doi-asserted-by":"publisher","DOI":"10.1038\/nphys3842"},{"key":"e_1_3_2_19_2","doi-asserted-by":"publisher","DOI":"10.1038\/s41467-019-08596-1"},{"key":"e_1_3_2_20_2","doi-asserted-by":"publisher","DOI":"10.1126\/science.aaw6259"},{"key":"e_1_3_2_21_2","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.99.011601"},{"key":"e_1_3_2_22_2","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.132.253401"},{"key":"e_1_3_2_23_2","doi-asserted-by":"publisher","DOI":"10.1126\/science.abe9869"},{"key":"e_1_3_2_24_2","doi-asserted-by":"publisher","DOI":"10.1002\/pssb.2220840242"},{"key":"e_1_3_2_25_2","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.105.257206"},{"key":"e_1_3_2_26_2","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.100.046404"},{"key":"e_1_3_2_27_2","volume-title":"Magnetism and Magnetic Materials","author":"Coey J. M. D.","year":"2010","unstructured":"J. M. D. Coey, Magnetism and Magnetic Materials (Cambridge Univ. Press, 2010)."},{"key":"e_1_3_2_28_2","doi-asserted-by":"publisher","DOI":"10.1038\/ncomms7724"},{"key":"e_1_3_2_29_2","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.88.047201"},{"key":"e_1_3_2_30_2","doi-asserted-by":"publisher","DOI":"10.1016\/0022-0248(71)90262-4"},{"key":"e_1_3_2_32_2","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevB.95.235108"},{"key":"e_1_3_2_33_2","doi-asserted-by":"publisher","DOI":"10.1038\/s41566-019-0496-1"},{"key":"e_1_3_2_34_2","doi-asserted-by":"publisher","DOI":"10.1063\/5.0179135"},{"key":"e_1_3_2_35_2","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevB.66.165217"},{"key":"e_1_3_2_36_2","doi-asserted-by":"publisher","DOI":"10.1063\/1.1748856"},{"key":"e_1_3_2_37_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.jnoncrysol.2011.02.039"},{"key":"e_1_3_2_38_2","doi-asserted-by":"publisher","DOI":"10.1038\/s41598-020-74068-y"},{"key":"e_1_3_2_39_2","doi-asserted-by":"publisher","DOI":"10.1038\/s41467-020-17766-5"},{"key":"e_1_3_2_40_2","doi-asserted-by":"publisher","DOI":"10.1038\/s41598-020-63452-3"},{"key":"e_1_3_2_41_2","doi-asserted-by":"publisher","DOI":"10.1038\/s41467-018-06312-z"},{"key":"e_1_3_2_42_2","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevB.12.2311"},{"key":"e_1_3_2_43_2","doi-asserted-by":"publisher","DOI":"10.1038\/nnano.2017.130"},{"key":"e_1_3_2_44_2","volume-title":"The Theory of Open Quantum Systems","author":"Breuer H.-P.","year":"2010","unstructured":"H.-P. Breuer, F. Petriccione, The Theory of Open Quantum Systems (Oxford Univ. Press, 2010)."},{"key":"e_1_3_2_45_2","first-page":"102","article-title":"Magnetooptical polar Kerr effect of EuO","volume":"59","author":"Wang H. Y.","year":"1986","unstructured":"H. Y. Wang, J. Schoenes, E. Kaldis, Magnetooptical polar Kerr effect of EuO. Helv. Phys. Acta 59, 102 (1986).","journal-title":"Helv. Phys. Acta"},{"key":"e_1_3_2_46_2","unstructured":"J. Li M. Turaev M. Matsubara K. Kliemt C. Krellner S. Pal M. Fiebig J. Kroha Discovery of an intrinsic non-Hermitian phase transition in a bulk condensed-matter system [Dataset] Zenodo (2026); https:\/\/doi.org\/10.5281\/zenodo.20026247."},{"key":"e_1_3_2_47_2","doi-asserted-by":"publisher","DOI":"10.1063\/1.1841463"},{"key":"e_1_3_2_48_2","unstructured":"R. A. Belayev V. V. Bondarenko V. P. Vyskubov S. S. Kiparisov V. A. Lazarevski V. M. Tyugin \u201cProperties of Europium Oxides\u201d (Oak Ridge National Laboratory technical report 2883 1974)."},{"key":"e_1_3_2_49_2","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRev.135.A434"},{"key":"e_1_3_2_50_2","doi-asserted-by":"publisher","DOI":"10.1063\/1.1713568"},{"key":"e_1_3_2_51_2","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevB.81.214447"},{"key":"e_1_3_2_52_2","first-page":"81","article-title":"A universal relation between the absorption and luminescence spectra of complex molecules","volume":"2","author":"Stepanov B. I.","year":"1957","unstructured":"B. I. Stepanov, A universal relation between the absorption and luminescence spectra of complex molecules. Sov. Phys. Dokl. 2, 81 (1957).","journal-title":"Sov. Phys. Dokl."},{"key":"e_1_3_2_53_2","doi-asserted-by":"publisher","DOI":"10.1063\/1.1316047"},{"key":"e_1_3_2_54_2","doi-asserted-by":"publisher","DOI":"10.1038\/s41598-018-20810-6"},{"key":"e_1_3_2_55_2","doi-asserted-by":"publisher","DOI":"10.1063\/5.0068086"},{"key":"e_1_3_2_56_2","doi-asserted-by":"publisher","DOI":"10.1038\/srep05656"},{"key":"e_1_3_2_57_2","doi-asserted-by":"publisher","DOI":"10.1038\/s43246-020-00075-1"}],"container-title":["Science"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.science.org\/doi\/pdf\/10.1126\/science.ady4670","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,9,10]],"date-time":"2026-09-10T18:01:24Z","timestamp":1789063284000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.science.org\/doi\/10.1126\/science.ady4670"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2026,9,10]]},"references-count":55,"journal-issue":{"issue":"6816","published-print":{"date-parts":[[2026,9,10]]}},"alternative-id":["10.1126\/science.ady4670"],"URL":"https:\/\/doi.org\/10.1126\/science.ady4670","relation":{},"ISSN":["0036-8075","1095-9203"],"issn-type":[{"value":"0036-8075","type":"print"},{"value":"1095-9203","type":"electronic"}],"subject":[],"published":{"date-parts":[[2026,9,10]]},"assertion":[{"value":"2025-04-25","order":0,"name":"received","label":"Received","group":{"name":"publication_history","label":"Publication History"}},{"value":"2026-07-01","order":2,"name":"accepted","label":"Accepted","group":{"name":"publication_history","label":"Publication History"}},{"value":"2026-09-10","order":3,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}]}}