{"record":{"author":{"account_ref":null,"orcid":null},"builds_on":[],"content_schema":"pubphys.content.revision/1","content_sha256":"2c62e2990c5cfc7b6001de089493486247955e5e130f839cb4300f131cac1cf9","created":"2026-10-03T07:17:58Z","files":[],"origin":{"assisted_by":[],"kind":"seed"},"parents":["3effcf478c7155a478a70f525bdf9d68613645a3c457ace60b345c39d6e152c1","5475cf5dc5b1a72283d26dc95dc6e00d7ea4e00096a7c6492e409a1816eeb011"],"salt":"febe0f0bcfaef1753acf499aed39e58fc9f2dd634f54ced991589520e1f2e7ce","schema":"pubphys.record/2","site":"pubphys.com","target":null,"type":"revision"},"content":{"answer_type":"value","assisted_by":[],"external_id":"cm.chaos-scrambling.low-temperature-otoc","kind":"well-posed","literature_status":"open","n":"1","parents":[{"note":"","parent_revision":"3effcf478c7155a478a70f525bdf9d68613645a3c457ace60b345c39d6e152c1","relation":"special_case"}],"plain":"OTOC experiments so far probe effectively infinite-temperature states, where quantum limits on chaos do not show. Measuring the scrambling rate in a cold many-body state would test the chaos bound directly.","posed_since":"","precise":"In a quantum simulator realizing a nonintegrable lattice model (e.g. 2D Bose-Hubbard at $U/J \\sim 10$ or a Rydberg array), measure the regularized thermal OTOC growth rate $\\lambda_{L}(T)$ for $k_{B}T$ below the bandwidth using a time-reversal protocol. Answer: $\\lambda_{L}(T)$ with error bars over a factor of 5 in T, compared with $2\\pi k_{B}T/\\hbar$.","problem_ref":null,"references":"","settled_by":"An experiment preparing thermal states at several temperatures and extracting an exponential OTOC growth window at each.","status_note":"OTOC experiments to date (trapped ions, superconducting processors) probe effectively infinite-temperature or circuit states.","title":"Measured Lyapunov exponent versus temperature in a quantum simulator","topic_ref":"c681d6b7c25d1a7c6ef6a216819426033bd04126d74656c004cc4a70c0ac92e1"},"attested":{"attestation":{"batch":null,"client_id":null,"id_token_sha256":null,"kind":"platform"},"record_hash":"70d70c297986c0724650a8595e29174ad12baa8615b0eb5a7619daa4cb457138","schema":"pubphys.attested/1"},"envelope":{"attested_hash":"2c47ed8b930b33ad481f22dad1ac014c16e78f4f82986d59e9f33abe343d94f2","platform_signature":{"key_id":"c6afc19b31429869751f06879c75cd64ea92654423d15b44be775bf1310a60da","sig":"eKVrl06tg6uxUfKFl2YRnCv_kvi4vGq84kHL6RanLb7To_3otKDQlzDz1-kYcdooUB-2-XKj-krnHlsN_G_0Cg"},"schema":"pubphys.envelope/1"},"record_hash":"70d70c297986c0724650a8595e29174ad12baa8615b0eb5a7619daa4cb457138","leaf_index":917}