{"record":{"author":{"account_ref":null,"orcid":null},"builds_on":[],"content_schema":"pubphys.content.revision/1","content_sha256":"82179279358168bf49e5bacf6d5af527e5ce5e40baeeb830ccedf167fd319842","created":"2026-10-03T07:17:53Z","files":[],"origin":{"assisted_by":[],"kind":"seed"},"parents":["5475cf5dc5b1a72283d26dc95dc6e00d7ea4e00096a7c6492e409a1816eeb011"],"salt":"8cd459dd04ba22180c4d9515a0503d82bedc173b9607edbf93cc3f3a85844ca3","schema":"pubphys.record/2","site":"pubphys.com","target":null,"type":"revision"},"content":{"answer_type":"value","assisted_by":[],"external_id":"amo.dipolar-supersolids.beyond-lhy-theory","kind":"well-posed","literature_status":"open","n":"1","parents":[],"plain":"Droplets are held together by quantum fluctuations, described by an approximate correction (Lee-Huang-Yang term). Its predictions miss experimental numbers by sizable amounts.","posed_since":"","precise":"For Dy-164 and Er-166 with dipolar length $a_{dd}$ and contact length $a_s$, predict the critical atom number $N_c$ for droplet formation and the superfluid-to-supersolid boundary in $a_s/a_{dd}$ within 10% of quantum Monte Carlo and experiment. The local-density extended Gross-Pitaevskii equation fails at this level. Answer: a theory with quantified errors.","problem_ref":null,"references":"","settled_by":"A beyond-mean-field theory that matches quantum Monte Carlo and measured $N_c$ with an independently measured $a_s$.","status_note":"Agreement with experiment has typically required adjusting $a_{s}$ by several Bohr radii (Bottcher et al., Phys. Rev. Research 2019).","title":"Controlled theory of quantum fluctuations in dipolar droplets","topic_ref":"e26dcf605ef7dbe6b3aca8f970b4bd57d399fcb46655381cea8a8ad67644d876"},"attested":{"attestation":{"batch":null,"client_id":null,"id_token_sha256":null,"kind":"platform"},"record_hash":"6b00eb4391c92b6e1467242b8b2856d1a6365446f94fb7b7a10e1ae795786a86","schema":"pubphys.attested/1"},"envelope":{"attested_hash":"5c049c8a08ffada88e445e0702ee94f7e2ac1e43dbe2d4be55bb17ac961c9248","platform_signature":{"key_id":"c6afc19b31429869751f06879c75cd64ea92654423d15b44be775bf1310a60da","sig":"BzEPJGUHt3MSkWAM8Dnoj0Tnkj5Equ6DCBoua0kzr4PB25AnDYM__BGuhOdQE5NC-4NywFX79xy0y6FDd1uuBg"},"schema":"pubphys.envelope/1"},"record_hash":"6b00eb4391c92b6e1467242b8b2856d1a6365446f94fb7b7a10e1ae795786a86","leaf_index":395}