{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2024:LBTCZBKDB7ROB2WXQJQYF3L7OO","short_pith_number":"pith:LBTCZBKD","schema_version":"1.0","canonical_sha256":"58662c85430fe2e0ead7826182ed7f73b96fa84e2a669986d8908baa350052f9","source":{"kind":"arxiv","id":"2406.12306","version":1},"attestation_state":"computed","paper":{"title":"Interacting Mathieu equation, synchronization dynamics and collision-induced velocity exchange in trapped ions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["quant-ph"],"primary_cat":"physics.class-ph","authors_text":"Asma Benbouza, Jin Ming Cui, Ming Gong, Xiaoshui Lin","submitted_at":"2024-06-18T06:26:49Z","abstract_excerpt":"Recently, large-scale trapped ion systems have been realized in experiments for quantum simulation and quantum computation. They are the simplest systems for dynamical stability and parametric resonance. In this model, the Mathieu equation plays the most fundamental role for us to understand the stability and instability of a single ion. In this work, we investigate the dynamics of trapped ions with the Coulomb interaction based on the Hamiltonian equation. We show that the many-body interaction will not influence the phase diagram for instability. Then, the dynamics of this model in the large"},"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":"2406.12306","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.class-ph","submitted_at":"2024-06-18T06:26:49Z","cross_cats_sorted":["quant-ph"],"title_canon_sha256":"50724c13cf98f8615b48e024e7479c256365af62e7971eaf5ce60f9c4461e6c4","abstract_canon_sha256":"ab305ead371b61df392411bafc17f1fc5a81dfa199f0e8c3ea991d3684a4ad23"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T08:33:44.079880Z","signature_b64":"N/L2+PIeD7KYPBLlBSUbGRWlHRAHnChDJmfk9nb/k1Vp/dPYLbhGkR5ddAWC5x+bUXsYJU0hA3lRnxfoy8H2BA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"58662c85430fe2e0ead7826182ed7f73b96fa84e2a669986d8908baa350052f9","last_reissued_at":"2026-07-05T08:33:44.079487Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T08:33:44.079487Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Interacting Mathieu equation, synchronization dynamics and collision-induced velocity exchange in trapped ions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["quant-ph"],"primary_cat":"physics.class-ph","authors_text":"Asma Benbouza, Jin Ming Cui, Ming Gong, Xiaoshui Lin","submitted_at":"2024-06-18T06:26:49Z","abstract_excerpt":"Recently, large-scale trapped ion systems have been realized in experiments for quantum simulation and quantum computation. They are the simplest systems for dynamical stability and parametric resonance. In this model, the Mathieu equation plays the most fundamental role for us to understand the stability and instability of a single ion. In this work, we investigate the dynamics of trapped ions with the Coulomb interaction based on the Hamiltonian equation. We show that the many-body interaction will not influence the phase diagram for instability. Then, the dynamics of this model in the large"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2406.12306","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2406.12306/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2406.12306","created_at":"2026-07-05T08:33:44.079544+00:00"},{"alias_kind":"arxiv_version","alias_value":"2406.12306v1","created_at":"2026-07-05T08:33:44.079544+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2406.12306","created_at":"2026-07-05T08:33:44.079544+00:00"},{"alias_kind":"pith_short_12","alias_value":"LBTCZBKDB7RO","created_at":"2026-07-05T08:33:44.079544+00:00"},{"alias_kind":"pith_short_16","alias_value":"LBTCZBKDB7ROB2WX","created_at":"2026-07-05T08:33:44.079544+00:00"},{"alias_kind":"pith_short_8","alias_value":"LBTCZBKD","created_at":"2026-07-05T08:33:44.079544+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/LBTCZBKDB7ROB2WXQJQYF3L7OO","json":"https://pith.science/pith/LBTCZBKDB7ROB2WXQJQYF3L7OO.json","graph_json":"https://pith.science/api/pith-number/LBTCZBKDB7ROB2WXQJQYF3L7OO/graph.json","events_json":"https://pith.science/api/pith-number/LBTCZBKDB7ROB2WXQJQYF3L7OO/events.json","paper":"https://pith.science/paper/LBTCZBKD"},"agent_actions":{"view_html":"https://pith.science/pith/LBTCZBKDB7ROB2WXQJQYF3L7OO","download_json":"https://pith.science/pith/LBTCZBKDB7ROB2WXQJQYF3L7OO.json","view_paper":"https://pith.science/paper/LBTCZBKD","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2406.12306&json=true","fetch_graph":"https://pith.science/api/pith-number/LBTCZBKDB7ROB2WXQJQYF3L7OO/graph.json","fetch_events":"https://pith.science/api/pith-number/LBTCZBKDB7ROB2WXQJQYF3L7OO/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/LBTCZBKDB7ROB2WXQJQYF3L7OO/action/timestamp_anchor","attest_storage":"https://pith.science/pith/LBTCZBKDB7ROB2WXQJQYF3L7OO/action/storage_attestation","attest_author":"https://pith.science/pith/LBTCZBKDB7ROB2WXQJQYF3L7OO/action/author_attestation","sign_citation":"https://pith.science/pith/LBTCZBKDB7ROB2WXQJQYF3L7OO/action/citation_signature","submit_replication":"https://pith.science/pith/LBTCZBKDB7ROB2WXQJQYF3L7OO/action/replication_record"}},"created_at":"2026-07-05T08:33:44.079544+00:00","updated_at":"2026-07-05T08:33:44.079544+00:00"}