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Here, we show structured high-harmonic generation linked to the anisotropic symmetry of a solid. By strategically preserving a dynamical symmetry arising from the spin-orbit interaction of light, we generate multiple orbital angular momentum states in high-order harmonics. The experimental results exhibit the total angular momentum conservation rule of light even in the extreme nonlinear region, which is evidence that the mechanism originates from a dynamical symmetry. Our study provides a deeper understanding of multiscale nonlinear optical phenomena and a general guideline for using electronic structures to control structured light, such as through Floquet engineering.<\/jats:p>","DOI":"10.1126\/sciadv.ado7315","type":"journal-article","created":{"date-parts":[[2024,8,2]],"date-time":"2024-08-02T17:58:41Z","timestamp":1722621521000},"update-policy":"https:\/\/doi.org\/10.34133\/aaas_crossmark","source":"Crossref","is-referenced-by-count":18,"title":["High-harmonic spin-orbit angular momentum generation in crystalline solids preserving multiscale dynamical symmetry"],"prefix":"10.1126","volume":"10","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-0129-6934","authenticated-orcid":true,"given":"Kohei","family":"Nagai","sequence":"first","affiliation":[{"name":"NTT Basic Research Laboratories, NTT Corporation, 3-1, Morinosato-Wakamiya, Atsugi, Kanagawa 243-0198, Japan."}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-3647-3251","authenticated-orcid":true,"given":"Takuya","family":"Okamoto","sequence":"additional","affiliation":[{"name":"NTT Basic Research Laboratories, NTT Corporation, 3-1, Morinosato-Wakamiya, Atsugi, Kanagawa 243-0198, Japan."}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-3291-6980","authenticated-orcid":true,"given":"Yasushi","family":"Shinohara","sequence":"additional","affiliation":[{"name":"NTT Basic Research Laboratories, NTT Corporation, 3-1, Morinosato-Wakamiya, Atsugi, Kanagawa 243-0198, Japan."},{"name":"NTT Research Center for Theoretical Quantum Information, NTT Corporation, 3-1 Morinosato Wakamiya, Atsugi, Kanagawa 243-0198, Japan."}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0009-0000-8228-3689","authenticated-orcid":true,"given":"Haruki","family":"Sanada","sequence":"additional","affiliation":[{"name":"NTT Basic Research Laboratories, NTT Corporation, 3-1, Morinosato-Wakamiya, Atsugi, Kanagawa 243-0198, Japan."}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-9448-5413","authenticated-orcid":true,"given":"Katsuya","family":"Oguri","sequence":"additional","affiliation":[{"name":"NTT Basic Research Laboratories, NTT Corporation, 3-1, Morinosato-Wakamiya, Atsugi, Kanagawa 243-0198, Japan."}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"221","reference":[{"key":"e_1_3_2_2_2","doi-asserted-by":"publisher","DOI":"10.1103\/RevModPhys.81.163"},{"key":"e_1_3_2_3_2","doi-asserted-by":"publisher","DOI":"10.1103\/RevModPhys.90.021002"},{"key":"e_1_3_2_4_2","doi-asserted-by":"publisher","DOI":"10.1126\/science.1059413"},{"key":"e_1_3_2_5_2","doi-asserted-by":"publisher","DOI":"10.1038\/35107000"},{"key":"e_1_3_2_6_2","doi-asserted-by":"publisher","DOI":"10.1038\/nature19821"},{"key":"e_1_3_2_7_2","doi-asserted-by":"publisher","DOI":"10.1038\/nature11567"},{"key":"e_1_3_2_8_2","doi-asserted-by":"publisher","DOI":"10.1038\/nature23900"},{"key":"e_1_3_2_9_2","doi-asserted-by":"publisher","DOI":"10.1126\/science.1239834"},{"key":"e_1_3_2_10_2","doi-asserted-by":"publisher","DOI":"10.1038\/s41567-019-0698-y"},{"key":"e_1_3_2_11_2","doi-asserted-by":"publisher","DOI":"10.1088\/0953-4075\/26\/18\/012"},{"key":"e_1_3_2_12_2","doi-asserted-by":"publisher","DOI":"10.1038\/nphoton.2014.293"},{"key":"e_1_3_2_13_2","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.116.123001"},{"key":"e_1_3_2_14_2","doi-asserted-by":"publisher","DOI":"10.1038\/s41467-018-07935-y"},{"key":"e_1_3_2_15_2","first-page":"031002","article-title":"Ultrasensitive chiral spectroscopy by dynamical symmetry breaking in high harmonic generation","volume":"9","author":"Neufeld O.","year":"2019","unstructured":"O. 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