{"record":{"author":{"account_ref":null,"orcid":null},"builds_on":[],"content_schema":"pubphys.content.revision/1","content_sha256":"29d780bdcfad1f8bb693ed5a2f14eeea91bbeb1a75cd40107e9e728e0a5d8de9","created":"2026-10-03T07:17:53Z","files":[],"origin":{"assisted_by":[],"kind":"seed"},"parents":["5475cf5dc5b1a72283d26dc95dc6e00d7ea4e00096a7c6492e409a1816eeb011"],"salt":"47f78b1f07e4b7f543e7e212b9154f60357c4d25b472f6d6d69e6a79cede1115","schema":"pubphys.record/2","site":"pubphys.com","target":null,"type":"revision"},"content":{"answer_type":"value","assisted_by":[],"external_id":"amo.collective-emission.array-superradiant-burst","kind":"well-posed","literature_status":"partially-resolved","n":"1","parents":[],"plain":"Excited atoms packed close enough emit a bright burst instead of glowing steadily. The minimum closeness needed in a regular array is predicted only approximately.","posed_since":"","precise":"$N$ fully inverted two-level atoms in a $1\\mathrm{D}$ or $2\\mathrm{D}$ array with spacing $d$ and transition wavelength $\\lambda$, coupled by free-space dipole-dipole interactions, single-atom decay rate $\\gamma_{0}$. Determine the critical spacing $d_{c}(N)$ below which the peak emission rate exceeds $N\\gamma_{0}$, and the scaling of the peak rate with N, beyond mean-field and cumulant methods. Answer: $d_{c}(N)/\\lambda$ and exponents.","problem_ref":null,"references":"","settled_by":"Exact or controlled numerics of the full master equation for N up to about 100 matched by tweezer-array measurements.","status_note":"A threshold was predicted with approximate methods (Masson and Asenjo-Garcia, Nature Communications 2022).","title":"Threshold for a Dicke superradiant burst in ordered atom arrays","topic_ref":"e89b5829665c5226a1b9e82a61b53f49c5a98f82161048d6d268249e6935de97"},"attested":{"attestation":{"batch":null,"client_id":null,"id_token_sha256":null,"kind":"platform"},"record_hash":"f6787e36e69a5852b10d635db6019dd7d0ec67026da0a4757e315ad8b0defe8b","schema":"pubphys.attested/1"},"envelope":{"attested_hash":"d4b1f33798a2ee82da982950379e1a0ff7757320eea3091b4ea3d4c7d44333bd","platform_signature":{"key_id":"c6afc19b31429869751f06879c75cd64ea92654423d15b44be775bf1310a60da","sig":"WlQBFRC9sE7MUhmKeYEyYP9PTSJc5O_1ZiRzet3gPjoWbJwg_fladJuXPaqA_UlOBo3cBhUKm5OHY_yfAINDDA"},"schema":"pubphys.envelope/1"},"record_hash":"f6787e36e69a5852b10d635db6019dd7d0ec67026da0a4757e315ad8b0defe8b","leaf_index":387}