{"record":{"author":{"account_ref":null,"orcid":null},"builds_on":[],"content_schema":"pubphys.content.revision/1","content_sha256":"49734172debe96002a77cfcdc36b502eaabec2aedda0e3ef5d3d2a22ce972dbc","created":"2026-10-03T07:18:01Z","files":[],"origin":{"assisted_by":[],"kind":"seed"},"parents":["5475cf5dc5b1a72283d26dc95dc6e00d7ea4e00096a7c6492e409a1816eeb011"],"salt":"b4fb100bbb43bcecb889892198dfb8d17cd9bf4cd2cc629449c006e43c0b28b3","schema":"pubphys.record/2","site":"pubphys.com","target":null,"type":"revision"},"content":{"answer_type":"value","assisted_by":[],"external_id":"cm.scars-fragmentation.scar-stability","kind":"well-posed","literature_status":"partially-resolved","n":"1","parents":[],"plain":"Some models have exactly known non-thermal states, but any realistic small disturbance should eventually destroy them. The question is how long they survive as the disturbance gets weaker.","posed_since":"","precise":"For a model with an exact scar tower (e.g. the spin-1 XY chain or the AKLT chain) perturbed by a generic local term $\\epsilon V$, determine the decay time $\\tau(\\epsilon)$ of revivals or scar-state fidelity with $L\\to\\infty$ before $\\epsilon\\to 0$: Fermi golden rule $\\tau\\sim\\epsilon^{-2}$, or parametrically longer. Answer: the exponent or functional form.","problem_ref":null,"references":"","settled_by":"Matching upper and lower bounds on $\\tau(\\epsilon)$ in the thermodynamic limit, checked numerically.","status_note":"Rigorous slow-thermalization bounds exist (Lin, Chandran, Motrunich 2020) and were tightened in 2026 (arXiv:2602.21962); matching bounds on the actual decay are missing.","title":"Lifetime of exact scar states under generic weak perturbations","topic_ref":"3b1e0e154649f2c57946e34060cf2af98d1b7646f80dd79c46fd50757079bd2a"},"attested":{"attestation":{"batch":null,"client_id":null,"id_token_sha256":null,"kind":"platform"},"record_hash":"3d3770d58c75082946859e9dc9c61e38ba4d7f1fee0729da6d06280d4e4a4c75","schema":"pubphys.attested/1"},"envelope":{"attested_hash":"d2c116b4870a299b2f6565cf1f8009686f498ea953d2fd4a3a895545e76b09f1","platform_signature":{"key_id":"c6afc19b31429869751f06879c75cd64ea92654423d15b44be775bf1310a60da","sig":"29NOUohI0dbFItFdk9nXftoLkW6G4gGhY2TAymlxAMwE3DrkNYjooecIw-SO9_Hl1Ksdh7iuhR1CirSicBbfDA"},"schema":"pubphys.envelope/1"},"record_hash":"3d3770d58c75082946859e9dc9c61e38ba4d7f1fee0729da6d06280d4e4a4c75","leaf_index":1150}