{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,9,22]],"date-time":"2026-09-22T17:59:35Z","timestamp":1790099975724,"version":"4.0.1"},"reference-count":77,"publisher":"American Physical Society (APS)","issue":"13","license":[{"start":{"date-parts":[[2026,9,22]],"date-time":"2026-09-22T00:00:00Z","timestamp":1790035200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/link.aps.org\/licenses\/aps-default-license"}],"funder":[{"DOI":"10.13039\/501100018537","name":"National Science and Technology Major Project","doi-asserted-by":"publisher","award":["2023ZD0301500"],"award-info":[{"award-number":["2023ZD0301500"]}],"id":[{"id":"10.13039\/501100018537","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100018537","name":"National Science and Technology Major Project","doi-asserted-by":"publisher","award":["2021ZD0300800"],"award-info":[{"award-number":["2021ZD0300800"]}],"id":[{"id":"10.13039\/501100018537","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["U25D9005"],"award-info":[{"award-number":["U25D9005"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["12404436"],"award-info":[{"award-number":["12404436"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["12404417"],"award-info":[{"award-number":["12404417"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["12494601"],"award-info":[{"award-number":["12494601"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100012166","name":"National Key Research and Development Program of China","doi-asserted-by":"publisher","award":["2024YFA1409300"],"award-info":[{"award-number":["2024YFA1409300"]}],"id":[{"id":"10.13039\/501100012166","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100017610","name":"Shenzhen Science and Technology Innovation Program","doi-asserted-by":"publisher","award":["RCJC20231211090042078"],"award-info":[{"award-number":["RCJC20231211090042078"]}],"id":[{"id":"10.13039\/501100017610","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Quantum Science and Technology"},{"name":"Guangdong-Hong Kong Technology Cooperation Funding Scheme","award":["2024A0505040008"],"award-info":[{"award-number":["2024A0505040008"]}]},{"name":"Shenzhen-Hong Kong Cooperation Zone for Technology and Innovation","award":["HZQB-KCZYB2020050"],"award-info":[{"award-number":["HZQB-KCZYB2020050"]}]}],"content-domain":{"domain":["journals.aps.org"],"crossmark-restriction":true},"short-container-title":["Phys. Rev. Lett."],"accepted":{"date-parts":[[2026,7,27]]},"DOI":"10.1103\/jnwg-3m6r","type":"journal-article","created":{"date-parts":[[2026,7,27]],"date-time":"2026-07-27T13:29:03Z","timestamp":1785158943000},"update-policy":"https:\/\/doi.org\/10.1103\/crossmark-policy","source":"Crossref","is-referenced-by-count":0,"title":["Kramers\u2013Kronig Causality in Integrated Photonics: The Spectral Tension between Ultraviolet Transition and Midinfrared Absorption"],"prefix":"10.1103","volume":"137","author":[{"ORCID":"https:\/\/orcid.org\/0009-0009-6467-9407","authenticated-orcid":true,"given":"Yue","family":"Hu","sequence":"first","affiliation":[{"id":[{"id":"https:\/\/ror.org\/049tv2d57","id-type":"ROR","asserted-by":"publisher"}],"name":"Southern University of Science and Technology"},{"id":[{"id":"https:\/\/ror.org\/02spjd661","id-type":"ROR","asserted-by":"publisher"}],"name":"International Quantum Academy"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0009-0000-1166-7255","authenticated-orcid":true,"given":"Zhenyuan","family":"Shang","sequence":"additional","affiliation":[{"id":[{"id":"https:\/\/ror.org\/049tv2d57","id-type":"ROR","asserted-by":"publisher"}],"name":"Southern University of Science and Technology"},{"id":[{"id":"https:\/\/ror.org\/02spjd661","id-type":"ROR","asserted-by":"publisher"}],"name":"International Quantum Academy"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0009-0006-7279-7444","authenticated-orcid":true,"given":"Chenxi","family":"Zhang","sequence":"additional","affiliation":[{"id":[{"id":"https:\/\/ror.org\/02spjd661","id-type":"ROR","asserted-by":"publisher"}],"name":"International Quantum Academy"},{"id":[{"id":"https:\/\/ror.org\/01vy4gh70","id-type":"ROR","asserted-by":"publisher"}],"name":"Shenzhen University"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Yuanjie","family":"Ning","sequence":"additional","affiliation":[{"id":[{"id":"https:\/\/ror.org\/006teas31","id-type":"ROR","asserted-by":"publisher"}],"name":"Shanghai University"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Weiqin","family":"Zheng","sequence":"additional","affiliation":[{"id":[{"id":"https:\/\/ror.org\/02spjd661","id-type":"ROR","asserted-by":"publisher"}],"name":"International Quantum Academy"},{"id":[{"id":"https:\/\/ror.org\/04azbjn80","id-type":"ROR","asserted-by":"publisher"}],"name":"Guangdong University of Technology"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Dengke","family":"Chen","sequence":"additional","affiliation":[{"id":[{"id":"https:\/\/ror.org\/049tv2d57","id-type":"ROR","asserted-by":"publisher"}],"name":"Southern University of Science and Technology"},{"id":[{"id":"https:\/\/ror.org\/02spjd661","id-type":"ROR","asserted-by":"publisher"}],"name":"International Quantum Academy"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Sanli","family":"Huang","sequence":"additional","affiliation":[{"id":[{"id":"https:\/\/ror.org\/02spjd661","id-type":"ROR","asserted-by":"publisher"}],"name":"International Quantum Academy"},{"id":[{"id":"https:\/\/ror.org\/04c4dkn09","id-type":"ROR","asserted-by":"publisher"}],"name":"University of Science and Technology of China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-3828-5131","authenticated-orcid":true,"given":"Baoqi","family":"Shi","sequence":"additional","affiliation":[{"id":[{"id":"https:\/\/ror.org\/02spjd661","id-type":"ROR","asserted-by":"publisher"}],"name":"International Quantum Academy"},{"id":[{"id":"https:\/\/ror.org\/04c4dkn09","id-type":"ROR","asserted-by":"publisher"}],"name":"University of Science and Technology of China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0009-0006-2091-3386","authenticated-orcid":true,"given":"Zeying","family":"Zhong","sequence":"additional","affiliation":[{"id":[{"id":"https:\/\/ror.org\/049tv2d57","id-type":"ROR","asserted-by":"publisher"}],"name":"Southern University of Science and Technology"},{"id":[{"id":"https:\/\/ror.org\/02spjd661","id-type":"ROR","asserted-by":"publisher"}],"name":"International Quantum Academy"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Hao","family":"Tan","sequence":"additional","affiliation":[{"id":[{"id":"https:\/\/ror.org\/02spjd661","id-type":"ROR","asserted-by":"publisher"}],"name":"International Quantum Academy"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0009-0001-7096-5356","authenticated-orcid":true,"given":"Wei","family":"Sun","sequence":"additional","affiliation":[{"id":[{"id":"https:\/\/ror.org\/02spjd661","id-type":"ROR","asserted-by":"publisher"}],"name":"International Quantum Academy"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Yi-Han","family":"Luo","sequence":"additional","affiliation":[{"id":[{"id":"https:\/\/ror.org\/02spjd661","id-type":"ROR","asserted-by":"publisher"}],"name":"International Quantum Academy"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Xinmao","family":"Yin","sequence":"additional","affiliation":[{"id":[{"id":"https:\/\/ror.org\/006teas31","id-type":"ROR","asserted-by":"publisher"}],"name":"Shanghai University"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Zhi-Chuan","family":"Niu","sequence":"additional","affiliation":[{"id":[{"id":"https:\/\/ror.org\/02spjd661","id-type":"ROR","asserted-by":"publisher"}],"name":"International Quantum Academy"},{"id":[{"id":"https:\/\/ror.org\/048dd0611","id-type":"ROR","asserted-by":"publisher"}],"name":"Institute of Semiconductors"},{"id":[{"id":"https:\/\/ror.org\/05qbk4x57","id-type":"ROR","asserted-by":"publisher"}],"name":"University of Chinese Academy of Sciences"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-2405-6028","authenticated-orcid":true,"given":"Junqiu","family":"Liu","sequence":"additional","affiliation":[{"id":[{"id":"https:\/\/ror.org\/02spjd661","id-type":"ROR","asserted-by":"publisher"}],"name":"International Quantum Academy"},{"id":[{"id":"https:\/\/ror.org\/04c4dkn09","id-type":"ROR","asserted-by":"publisher"}],"name":"University of Science and Technology of China"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"16","published-online":{"date-parts":[[2026,9,22]]},"reference":[{"key":"jnwg-3m6rCc1R1","doi-asserted-by":"publisher","DOI":"10.1038\/nphoton.2013.183","type":"journal-article"},{"key":"jnwg-3m6rCc2R1","doi-asserted-by":"publisher","DOI":"10.1038\/s41566-019-0358-x","type":"journal-article"},{"key":"jnwg-3m6rCc3R1","doi-asserted-by":"publisher","DOI":"10.1364\/OPTICA.3.001171","type":"journal-article"},{"key":"jnwg-3m6rCc4R1","doi-asserted-by":"publisher","DOI":"10.1364\/OPTICA.4.000619","type":"journal-article"},{"key":"jnwg-3m6rCc5R1","doi-asserted-by":"publisher","DOI":"10.1364\/OPTICA.5.001347","type":"journal-article"},{"key":"jnwg-3m6rCc6R1","doi-asserted-by":"publisher","DOI":"10.1364\/OE.24.029312","type":"journal-article"},{"key":"jnwg-3m6rCc7R1","doi-asserted-by":"publisher","DOI":"10.1364\/OPTICA.4.000193","type":"journal-article"},{"key":"jnwg-3m6rCc8R1","doi-asserted-by":"publisher","DOI":"10.1364\/OPTICA.4.000684","type":"journal-article"},{"key":"jnwg-3m6rCc9R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevApplied.11.044017","type":"journal-article"},{"key":"jnwg-3m6rCc10R1","doi-asserted-by":"publisher","DOI":"10.1364\/OL.37.001685","type":"journal-article"},{"key":"jnwg-3m6rCc11R1","doi-asserted-by":"publisher","DOI":"10.1364\/OE.25.001542","type":"journal-article"},{"key":"jnwg-3m6rCc12R1","doi-asserted-by":"publisher","DOI":"10.1364\/OE.23.019596","type":"journal-article"},{"key":"jnwg-3m6rCc13R1","doi-asserted-by":"publisher","DOI":"10.1364\/OPTICA.396542","type":"journal-article"},{"key":"jnwg-3m6rCc14R1","doi-asserted-by":"publisher","DOI":"10.1038\/nphoton.2009.259","type":"journal-article"},{"key":"jnwg-3m6rCc15R1","doi-asserted-by":"publisher","DOI":"10.1038\/nphoton.2016.64","type":"journal-article"},{"key":"jnwg-3m6rCc16R1","doi-asserted-by":"publisher","DOI":"10.1364\/OPTICA.6.001535","type":"journal-article"},{"key":"jnwg-3m6rCc17R1","doi-asserted-by":"publisher","DOI":"10.1364\/OPTICA.393810","type":"journal-article"},{"key":"jnwg-3m6rCc18R1","doi-asserted-by":"publisher","DOI":"10.1038\/s41567-018-0394-3","type":"journal-article"},{"key":"jnwg-3m6rCc19R1","doi-asserted-by":"publisher","DOI":"10.1002\/lpor.202300172","type":"journal-article"},{"key":"jnwg-3m6rCc20R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.133.083803","type":"journal-article"},{"key":"jnwg-3m6rCc22R1","doi-asserted-by":"publisher","DOI":"10.1364\/OE.14.004357","type":"journal-article"},{"key":"jnwg-3m6rCc23R1","doi-asserted-by":"publisher","DOI":"10.1364\/OL.39.003535","type":"journal-article"},{"key":"jnwg-3m6rCc24R1","volume-title":"Atti del Congresso Internazionale dei Fisici","author":"H.\u2009A. Kramers","year":"1927","type":"conference-proceedings"},{"key":"jnwg-3m6rCc25R1","doi-asserted-by":"publisher","DOI":"10.1364\/JOSA.12.000547","type":"journal-article"},{"key":"jnwg-3m6rCc26R1","volume-title":"Kramers-Kronig Relations and Sum Rules in Linear Optics","author":"V. Lucarini","year":"2005","type":"book"},{"key":"jnwg-3m6rCc27R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRev.104.1760","type":"journal-article"},{"key":"jnwg-3m6rCc28R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevB.6.4502","type":"journal-article"},{"key":"jnwg-3m6rCc29R1","doi-asserted-by":"publisher","DOI":"10.1109\/JQE.1987.1073206","type":"journal-article"},{"key":"jnwg-3m6rCc30R1","doi-asserted-by":"publisher","DOI":"10.1038\/nature03569","type":"journal-article"},{"key":"jnwg-3m6rCc31R1","doi-asserted-by":"publisher","DOI":"10.1103\/f5v4-n5dw","type":"journal-article"},{"key":"jnwg-3m6rCc32R1","doi-asserted-by":"publisher","DOI":"10.1109\/JQE.1982.1071522","type":"journal-article"},{"key":"jnwg-3m6rCc33R1","doi-asserted-by":"publisher","DOI":"10.1109\/JQE.1983.1071986","type":"journal-article"},{"key":"jnwg-3m6rCc34R1","doi-asserted-by":"publisher","DOI":"10.1109\/JQE.1987.1073204","type":"journal-article"},{"key":"jnwg-3m6rCc35R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.69.063804","type":"journal-article"},{"key":"jnwg-3m6rCc36R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.96.123901","type":"journal-article"},{"key":"jnwg-3m6rCc37R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.98.213904","type":"journal-article"},{"key":"jnwg-3m6rCc38R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.116.133902","type":"journal-article"},{"key":"jnwg-3m6rCc39R1","doi-asserted-by":"publisher","DOI":"10.1364\/OPTICA.3.001220","type":"journal-article"},{"key":"jnwg-3m6rCc40R1","unstructured":"J. Liu, Silicon Nitride Integrated Nonlinear Photonics, Ph.D. thesis, EPFL, Lausanne, 2020.","type":"other"},{"key":"jnwg-3m6rCc41R1","doi-asserted-by":"publisher","DOI":"10.1364\/OL.40.004823","type":"journal-article"},{"key":"jnwg-3m6rCc42R1","doi-asserted-by":"publisher","DOI":"10.1364\/OE.505892","type":"journal-article"},{"key":"jnwg-3m6rCc43R1","doi-asserted-by":"publisher","DOI":"10.1364\/OE.16.020809","type":"journal-article"},{"key":"jnwg-3m6rCc44R1","doi-asserted-by":"publisher","DOI":"10.1364\/OE.19.024090","type":"journal-article"},{"key":"jnwg-3m6rCc45R1","doi-asserted-by":"publisher","DOI":"10.1364\/OE.380758","type":"journal-article"},{"key":"jnwg-3m6rCc46R1","doi-asserted-by":"publisher","DOI":"10.1364\/OE.438436","type":"journal-article"},{"key":"jnwg-3m6rCc47R1","doi-asserted-by":"publisher","DOI":"10.1063\/1.325095","type":"journal-article"},{"key":"jnwg-3m6rCc48R1","doi-asserted-by":"publisher","DOI":"10.1155\/2012\/281851","type":"journal-article"},{"key":"jnwg-3m6rCc49R1","unstructured":"See Supplemental Material at http:\/\/link.aps.org\/supplemental\/10.1103\/jnwg-3m6r for detailed experimental methods, theoretical modeling, numerical simulations, and additional characterization data, which includes Notes 1\u20139 and Refs.\u00a0[6,8,24\u201326,40,43\u201347,50\u201364].","type":"other"},{"key":"jnwg-3m6rCc50R1","doi-asserted-by":"publisher","DOI":"10.1080\/01418639108224430","type":"journal-article"},{"key":"jnwg-3m6rCc51R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevB.30.1896","type":"journal-article"},{"key":"jnwg-3m6rCc52R1","doi-asserted-by":"publisher","DOI":"10.1364\/PRJ.486379","type":"journal-article"},{"key":"jnwg-3m6rCc53R1","doi-asserted-by":"publisher","DOI":"10.1038\/s41377-024-01435-z","type":"journal-article"},{"key":"jnwg-3m6rCc54R1","doi-asserted-by":"publisher","DOI":"10.1038\/s41467-025-61970-0","type":"journal-article"},{"key":"jnwg-3m6rCc56R1","doi-asserted-by":"publisher","DOI":"10.1103\/th1c-nml5","type":"journal-article"},{"key":"jnwg-3m6rCc57R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.88.033816","type":"journal-article"},{"key":"jnwg-3m6rCc58R1","doi-asserted-by":"publisher","DOI":"10.1364\/AO.26.002621","type":"journal-article"},{"key":"jnwg-3m6rCc59R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.58.2209","type":"journal-article"},{"key":"jnwg-3m6rCc60R1","doi-asserted-by":"publisher","DOI":"10.1364\/OE.26.009645","type":"journal-article"},{"key":"jnwg-3m6rCc61R1","doi-asserted-by":"publisher","DOI":"10.1038\/s41598-017-00062-6","type":"journal-article"},{"key":"jnwg-3m6rCc62R1","doi-asserted-by":"publisher","DOI":"10.1063\/1.118064","type":"journal-article"},{"key":"jnwg-3m6rCc63R1","doi-asserted-by":"publisher","DOI":"10.1364\/OL.43.003200","type":"journal-article"},{"key":"jnwg-3m6rCc64R1","doi-asserted-by":"publisher","DOI":"10.1098\/rsta.2018.0113","type":"journal-article"},{"key":"jnwg-3m6rCc65R1","doi-asserted-by":"publisher","DOI":"10.1038\/s41377-025-01795-0","type":"journal-article"},{"key":"jnwg-3m6rCc66R1","doi-asserted-by":"publisher","DOI":"10.1088\/1464-4258\/8\/10\/004","type":"journal-article"},{"key":"jnwg-3m6rCc67R1","doi-asserted-by":"publisher","DOI":"10.1364\/AO.46.008118","type":"journal-article"},{"key":"jnwg-3m6rCc68R1","doi-asserted-by":"publisher","DOI":"10.1515\/nanoph-2017-0085","type":"journal-article"},{"key":"jnwg-3m6rCc69R1","doi-asserted-by":"publisher","DOI":"10.1364\/OPTICA.4.000707","type":"journal-article"},{"key":"jnwg-3m6rCc70R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.85.74","type":"journal-article"},{"key":"jnwg-3m6rCc71R1","doi-asserted-by":"publisher","DOI":"10.1038\/s41467-022-31916-x","type":"journal-article"},{"key":"jnwg-3m6rCc72R1","doi-asserted-by":"publisher","DOI":"10.1364\/OL.36.003398","type":"journal-article"},{"key":"jnwg-3m6rCc73R1","doi-asserted-by":"publisher","DOI":"10.5281\/zenodo.21650570","type":"software"},{"key":"jnwg-3m6rCc74R1","doi-asserted-by":"publisher","DOI":"10.1002\/lpor.202200544","type":"journal-article"},{"key":"jnwg-3m6rCc75R1","doi-asserted-by":"publisher","DOI":"10.1364\/OL.43.001527","type":"journal-article"},{"key":"jnwg-3m6rCc76R1","doi-asserted-by":"publisher","DOI":"10.1109\/JLT.2023.3240139","type":"journal-article"},{"key":"jnwg-3m6rCc77R1","doi-asserted-by":"publisher","DOI":"10.1364\/PRJ.454816","type":"journal-article"},{"key":"jnwg-3m6rCc78R1","doi-asserted-by":"publisher","DOI":"10.1038\/s41377-024-01503-4","type":"journal-article"},{"key":"jnwg-3m6rCc79R1","doi-asserted-by":"publisher","DOI":"10.1364\/OL.394121","type":"journal-article"}],"container-title":["Physical Review Letters"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.aps.org\/article\/10.1103\/jnwg-3m6r","content-type":"unspecified","content-version":"vor","intended-application":"syndication"},{"URL":"http:\/\/harvest.aps.org\/v2\/journals\/articles\/10.1103\/jnwg-3m6r\/fulltext","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,9,22]],"date-time":"2026-09-22T17:01:14Z","timestamp":1790096474000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.aps.org\/doi\/10.1103\/jnwg-3m6r"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2026,9,22]]},"references-count":77,"journal-issue":{"issue":"13","published-print":{"date-parts":[[2026,9]]}},"URL":"https:\/\/doi.org\/10.1103\/jnwg-3m6r","relation":{},"ISSN":["0031-9007","1079-7114"],"issn-type":[{"value":"0031-9007","type":"print"},{"value":"1079-7114","type":"electronic"}],"subject":[],"published":{"date-parts":[[2026,9,22]]},"assertion":[{"value":"2026-05-12","name":"date_received","label":"Date Received","group":{"name":"publication_dates","label":"Publication dates"}},{"value":"\u00a9 2026 American Physical Society. All rights are reserved, including those for text and data mining, AI training, and similar technologies.","name":"copyright_statement","label":"Copyright statement","group":{"name":"copyright","label":"copyright"}},{"value":"2026","name":"copyright_year","label":"Copyright year","group":{"name":"copyright","label":"copyright"}},{"value":"American Physical Society","name":"copyright_holder","label":"Copyright holder","group":{"name":"copyright","label":"copyright"}}],"article-number":"133801"}}