{"record":{"author":{"account_ref":null,"orcid":null},"builds_on":[],"content_schema":"pubphys.content.topic/1","content_sha256":"624dc27b06622b8403c1bbf8425b5f49fabde888e7d329942ba82724e40b1f3d","created":"2026-10-03T07:17:52Z","files":[],"origin":{"assisted_by":[],"kind":"seed"},"parents":[],"salt":"47584f58bc2b846a20b98cb3df62af8b8c4c8f643bf577d09499417f6e8c2f46","schema":"pubphys.record/2","site":"pubphys.com","target":null,"type":"topic"},"content":{"external_id":"mathph.quantum-spin-gaps","field":"mathph","n":"1","review_cite":"I. Affleck, T. Kennedy, E. H. Lieb, H. Tasaki, Rigorous results on valence-bond ground states in antiferromagnets, Physical Review Letters, 1987","review_link":"https://doi.org/10.1103/PhysRevLett.59.799","review_verified":"true","summary":"In a chain or lattice of quantum magnets, the energy of the lowest excitation may stay finite (a gap) or vanish as the system grows. Physicists predict which happens, but proofs exist only for specially designed models.","title":"Spectral gaps and order in quantum spin systems","topic_ref":null,"why":"The gap decides whether a phase is stable, how fast correlations decay and how hard ground states are to prepare on quantum hardware."},"attested":{"attestation":{"batch":null,"client_id":null,"id_token_sha256":null,"kind":"platform"},"record_hash":"2277c2056f9b4652a96eb984886b4114703ad1bdf3de5eaf3cbb73c0aab421ae","schema":"pubphys.attested/1"},"envelope":{"attested_hash":"e500c8b3cc96c11bcd9f2a6517ce2110d07d157b8004cc0f2b0f298d4581c8d1","platform_signature":{"key_id":"c6afc19b31429869751f06879c75cd64ea92654423d15b44be775bf1310a60da","sig":"6F9hHd14aF0NdQ59yXTLNfJ1cv47Cecxwr1gAJSgy6VGv3z-46H8_ZIl4Q-Y38uAy26wiTH_FCoBVCs6f7-xAg"},"schema":"pubphys.envelope/1"},"record_hash":"2277c2056f9b4652a96eb984886b4114703ad1bdf3de5eaf3cbb73c0aab421ae","leaf_index":265}