{"schema":"pubphys.bundle/1","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 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