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Unlike in electronics, the photonic Chern number has no clear physical meaning, except that it determines the number of unidirectional edge states supported by an interface with a trivial mirror. Here, we fill in this gap by demonstrating that the photonic Chern number can be understood as the quantum of the light-angular momentum in a photonic insulator cavity. It is proven that for a large cavity, the thermal fluctuation-induced angular momentum is precisely quantized in the band-gaps of the bulk states. The nontrivial expectation of the light angular momentum is due to a circulation of thermal energy in closed orbits. Remarkably, this result can be extended to systems without a topological classification, and in such a case the \u201cquantum\u201d of the angular momentum density is determined by the net number of unidirectional edge states supported by the cavity walls.<\/jats:p>","DOI":"10.1038\/s41467-018-08215-5","type":"journal-article","created":{"date-parts":[[2019,1,21]],"date-time":"2019-01-21T11:02:40Z","timestamp":1548068560000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":20,"title":["Quantized angular momentum in topological optical systems"],"prefix":"10.1038","volume":"10","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-3730-1689","authenticated-orcid":false,"given":"M\u00e1rio G.","family":"Silveirinha","sequence":"first","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2019,1,21]]},"reference":[{"key":"8215_CR1","doi-asserted-by":"publisher","first-page":"2015","DOI":"10.1103\/PhysRevLett.61.2015","volume":"61","author":"FDM Haldane","year":"1988","unstructured":"Haldane, F. 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