{"record":{"author":{"account_ref":null,"orcid":null},"builds_on":[],"content_schema":"pubphys.content.revision/1","content_sha256":"a390a2b80788cbfec2b1904ece4ca22ca22f2b2527fc74c2cf0c06c319820c2b","created":"2026-10-03T07:17:59Z","files":[],"origin":{"assisted_by":[],"kind":"seed"},"parents":["5475cf5dc5b1a72283d26dc95dc6e00d7ea4e00096a7c6492e409a1816eeb011"],"salt":"73c370908d5422158db32d479e81af7a775a6b6fc8cf2c6d2a3e80a312f53cbc","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":"1","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":null,"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":"45ec164defd4bbc53dbeb596072003667a3d92ea5f1f4be6270906a1a4927f9e"},"attested":{"attestation":{"batch":null,"client_id":null,"id_token_sha256":null,"kind":"platform"},"record_hash":"1f9c1e76c74b00ae66cb4c91d5f16800d2158e98f8f6d7588444d3cb03a5ba61","schema":"pubphys.attested/1"},"envelope":{"attested_hash":"731b5394ad8b9d8ad40ce68beef07cf95faa63b2f86e1e63370523f88a8d77cf","platform_signature":{"key_id":"c6afc19b31429869751f06879c75cd64ea92654423d15b44be775bf1310a60da","sig":"9u1FRR7vKB3_ebpVcTkUamUgRXc2UnifCD3Q6V2bR66Vgu8NK8FxPPvUP1O39L0kA3azV2oCkMC3ncOF8D7dCQ"},"schema":"pubphys.envelope/1"},"record_hash":"1f9c1e76c74b00ae66cb4c91d5f16800d2158e98f8f6d7588444d3cb03a5ba61","leaf_index":992}