{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:U4NYFS25QSCJZBOHSLKPS5ZAV2","short_pith_number":"pith:U4NYFS25","schema_version":"1.0","canonical_sha256":"a71b82cb5d84849c85c792d4f97720aebcd61d52e0a72cca0a914ba744824c17","source":{"kind":"arxiv","id":"1212.3077","version":1},"attestation_state":"computed","paper":{"title":"A third-order exceptional point effect on the dynamics of a single particle in a time-dependent harmonic trap","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.quant-gas"],"primary_cat":"quant-ph","authors_text":"Emanuele Dalla Torre, Nimrod Moiseyev, Raam Uzdin, Ronnie Kosloff","submitted_at":"2012-12-13T07:57:58Z","abstract_excerpt":"The time evolution of a single particle in a harmonic trap with time dependent frequency omega(t) is well studied. Nevertheless here we show that, when the harmonic trap is opened (or closed) as function of time while keeping the adiabatic parameter mu = [d omega(t)/dt]/omega(t)^2 fixed, a sharp transition from an oscillatory to a monotonic exponential dynamics occurs at mu = 2. At this transition point the time evolution has a third-order exceptional point (EP) at all instants. This situation, where an EP of a time-dependent Hermitian Hamiltonian is obtained at any given time, is very differe"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1212.3077","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-12-13T07:57:58Z","cross_cats_sorted":["cond-mat.quant-gas"],"title_canon_sha256":"dc781c843065c74f974dd5509b9714f7bccda8388bcfceadaceb2449d0cbb617","abstract_canon_sha256":"39dbde97bc641f87d48e8d82999e37fddeeabb6b37f5dd9a51fa1c11c68ed872"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:52:47.969157Z","signature_b64":"N1ZUMXQ5qv4SFgj9Oq2wu7wngqDUI2/8mCiIWRv1sgYHVjrFsVwJHXFOoFCbLQXatsp5yJIAK2WyCnVEAJu7Dg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a71b82cb5d84849c85c792d4f97720aebcd61d52e0a72cca0a914ba744824c17","last_reissued_at":"2026-05-18T02:52:47.968111Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:52:47.968111Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A third-order exceptional point effect on the dynamics of a single particle in a time-dependent harmonic trap","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.quant-gas"],"primary_cat":"quant-ph","authors_text":"Emanuele Dalla Torre, Nimrod Moiseyev, Raam Uzdin, Ronnie Kosloff","submitted_at":"2012-12-13T07:57:58Z","abstract_excerpt":"The time evolution of a single particle in a harmonic trap with time dependent frequency omega(t) is well studied. Nevertheless here we show that, when the harmonic trap is opened (or closed) as function of time while keeping the adiabatic parameter mu = [d omega(t)/dt]/omega(t)^2 fixed, a sharp transition from an oscillatory to a monotonic exponential dynamics occurs at mu = 2. At this transition point the time evolution has a third-order exceptional point (EP) at all instants. This situation, where an EP of a time-dependent Hermitian Hamiltonian is obtained at any given time, is very differe"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1212.3077","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1212.3077","created_at":"2026-05-18T02:52:47.968205+00:00"},{"alias_kind":"arxiv_version","alias_value":"1212.3077v1","created_at":"2026-05-18T02:52:47.968205+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1212.3077","created_at":"2026-05-18T02:52:47.968205+00:00"},{"alias_kind":"pith_short_12","alias_value":"U4NYFS25QSCJ","created_at":"2026-05-18T12:27:23.164592+00:00"},{"alias_kind":"pith_short_16","alias_value":"U4NYFS25QSCJZBOH","created_at":"2026-05-18T12:27:23.164592+00:00"},{"alias_kind":"pith_short_8","alias_value":"U4NYFS25","created_at":"2026-05-18T12:27:23.164592+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/U4NYFS25QSCJZBOHSLKPS5ZAV2","json":"https://pith.science/pith/U4NYFS25QSCJZBOHSLKPS5ZAV2.json","graph_json":"https://pith.science/api/pith-number/U4NYFS25QSCJZBOHSLKPS5ZAV2/graph.json","events_json":"https://pith.science/api/pith-number/U4NYFS25QSCJZBOHSLKPS5ZAV2/events.json","paper":"https://pith.science/paper/U4NYFS25"},"agent_actions":{"view_html":"https://pith.science/pith/U4NYFS25QSCJZBOHSLKPS5ZAV2","download_json":"https://pith.science/pith/U4NYFS25QSCJZBOHSLKPS5ZAV2.json","view_paper":"https://pith.science/paper/U4NYFS25","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1212.3077&json=true","fetch_graph":"https://pith.science/api/pith-number/U4NYFS25QSCJZBOHSLKPS5ZAV2/graph.json","fetch_events":"https://pith.science/api/pith-number/U4NYFS25QSCJZBOHSLKPS5ZAV2/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/U4NYFS25QSCJZBOHSLKPS5ZAV2/action/timestamp_anchor","attest_storage":"https://pith.science/pith/U4NYFS25QSCJZBOHSLKPS5ZAV2/action/storage_attestation","attest_author":"https://pith.science/pith/U4NYFS25QSCJZBOHSLKPS5ZAV2/action/author_attestation","sign_citation":"https://pith.science/pith/U4NYFS25QSCJZBOHSLKPS5ZAV2/action/citation_signature","submit_replication":"https://pith.science/pith/U4NYFS25QSCJZBOHSLKPS5ZAV2/action/replication_record"}},"created_at":"2026-05-18T02:52:47.968205+00:00","updated_at":"2026-05-18T02:52:47.968205+00:00"}