{"record":{"author":{"account_ref":null,"orcid":null},"builds_on":[],"content_schema":"pubphys.content.revision/1","content_sha256":"e7e15f33a8bef3a534ee8b285b969383beccb041c22c240aeca196a64ec62bde","created":"2026-10-15T23:43:22Z","files":[],"origin":{"assisted_by":[],"kind":"seed"},"parents":["5833294d540db64b65f4b3009f4de7c43c3d1b5d7d529061d41247e284a1df41","ce59fb6cd812fc05906d0c60a71c75ea22bc686bcf38e7c3ef7010834d98ee7b"],"salt":"02759ac62e233ac9c85be0dadd428c9b59f10139166fa789b546a32499b40b36","schema":"pubphys.record/2","site":"pubphys.com","target":null,"type":"revision"},"content":{"answer_type":"classification","assisted_by":[],"external_id":"cm.dqpt.equilibrium-criticality-link","kind":"well-posed","literature_status":"open","n":"2","parents":[],"plain":"Kinks in the return probability were first found for sudden changes that cross an ordinary phase transition. Some models show kinks without such a crossing, and others show a crossing without kinks, and the rule that decides which happens is missing.","posed_since":"","precise":"For a quench $H_i \\to H_f$ with Loschmidt rate $l(t) = -\\lim_{N \\to \\infty} (1/N) \\ln \\mid\\langle\\psi_0\\mid \\exp(-i H_f t/\\hbar) \\mid\\psi_0\\rangle\\mid^2$, determine the conditions on $(H_i, H_f)$ under which nonanalytic times $t_c$ exist if and only if the quench crosses an equilibrium critical point. Known counterexamples from 2014 on violate both directions in specific models. Answer: a criterion valid for interacting nonintegrable models.","problem_ref":"5833294d540db64b65f4b3009f4de7c43c3d1b5d7d529061d41247e284a1df41","references":"","settled_by":"A criterion proved, or verified numerically across interacting nonintegrable models in $d = 1\\text{ and }2$.","status_note":"","title":"Do dynamical transitions occur only for quenches across critical points?","topic_ref":null},"attested":{"attestation":{"batch":null,"client_id":null,"id_token_sha256":null,"kind":"platform"},"record_hash":"5e030bb34f95dcd22c55fd51465c0e59dce93f0a6e0fd4cbae72a62b6202142a","schema":"pubphys.attested/1"},"envelope":{"attested_hash":"3b8d17f85fbe6b89410155ccd45dcba4ee22676f6914345dfae090d7ca1ba4ac","platform_signature":{"key_id":"c6afc19b31429869751f06879c75cd64ea92654423d15b44be775bf1310a60da","sig":"3KztWLySqP8vysgIRhmJZW1hjSK_I_mfqdEayBkaxua-_-s_TSn0QuhLPJ9rvX_upbpXuAcBcSLET2jRL_89BA"},"schema":"pubphys.envelope/1"},"record_hash":"5e030bb34f95dcd22c55fd51465c0e59dce93f0a6e0fd4cbae72a62b6202142a","leaf_index":2758}