{"record":{"author":{"account_ref":null,"orcid":null},"builds_on":[],"content_schema":"pubphys.content.revision/1","content_sha256":"21bb60d87b39b9961d72d23a3c96b4d25c2daecc7c7e99c7b4a28af79e753491","created":"2026-10-15T23:43:22Z","files":[],"origin":{"assisted_by":[],"kind":"seed"},"parents":["1f9c1e76c74b00ae66cb4c91d5f16800d2158e98f8f6d7588444d3cb03a5ba61","ce59fb6cd812fc05906d0c60a71c75ea22bc686bcf38e7c3ef7010834d98ee7b"],"salt":"4801316e240b458c8ef93d177328366c6891fa76a0ea8f5164a4dc90bc494c9a","schema":"pubphys.record/2","site":"pubphys.com","target":null,"type":"revision"},"content":{"answer_type":"yes-no","assisted_by":[],"external_id":"cm.floquet-dtc.mbl-dtc-stability","kind":"well-posed","literature_status":"contested","n":"2","parents":[],"plain":"Time crystals protected by disorder-induced localization were predicted to last forever in large systems. Since localization itself may fail in large systems, the time crystal may only be very long-lived.","posed_since":"2016","precise":"For the disordered periodically driven Ising chain (near-perfect $\\pi$ spin flips plus random Ising couplings, fields and generic perturbations), does the period-doubled response persist for infinite time as $L \\to \\infty$, or is its lifetime finite but parametrically long? Answer yes or no, with the lifetime scaling if no.","problem_ref":"1f9c1e76c74b00ae66cb4c91d5f16800d2158e98f8f6d7588444d3cb03a5ba61","references":"","settled_by":"A determination, by numerics or proof, of the stability of Floquet many-body localization against avalanches in this model.","status_note":"Eigenstate order was observed on a 20-qubit processor (Mi et al., Nature 2022); infinite-time stability depends on the unresolved stability of MBL against avalanches.","title":"Is the many-body-localized time crystal a stable phase?","topic_ref":null},"attested":{"attestation":{"batch":null,"client_id":null,"id_token_sha256":null,"kind":"platform"},"record_hash":"44e5c0bc98e2e425f1df253770a6f7e6e4e757698176489785d4eecd0482bfa0","schema":"pubphys.attested/1"},"envelope":{"attested_hash":"009c188af9927b3c14897e7d554742c5eaed6fae5ad662c113cc963d34850e10","platform_signature":{"key_id":"c6afc19b31429869751f06879c75cd64ea92654423d15b44be775bf1310a60da","sig":"GewKuwJ585DoeZZuUUZcEkOgDSxGUQNOqzHmF7K37LMd7XrF5crufvZIssCIWv48I8PVemeEqIozl6wYx5cTAQ"},"schema":"pubphys.envelope/1"},"record_hash":"44e5c0bc98e2e425f1df253770a6f7e6e4e757698176489785d4eecd0482bfa0","leaf_index":2806}