{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:WIBBBFTEOK4VNPAVR3Q6E2FLTW","short_pith_number":"pith:WIBBBFTE","schema_version":"1.0","canonical_sha256":"b20210966472b956bc158ee1e268ab9d8f97a6c9f6d8bcf44e12e34952ea85da","source":{"kind":"arxiv","id":"1202.5397","version":1},"attestation_state":"computed","paper":{"title":"Interacting spins in a cavity: finite size effects and symmetry-breaking dynamics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Klaus M{\\o}lmer, S{\\o}ren Gammelmark","submitted_at":"2012-02-24T08:58:25Z","abstract_excerpt":"We calculate the ground state and simulate the dynamics of a finite chain of spins with Ising nearest-neighbor interactions and a Dicke collective spin interaction with a single mode cavity field. We recover the signatures of first and second order phase transitions predicted by mean field theory, while for small chains, we find significant and non-trivial finite size effects. Below the first order phase transition, even quite large spin chains of 30-40 spins give rise to a mean photon number and number fluctuations significantly above the mean field vacuum result. Near the second order phase "},"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":"1202.5397","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-02-24T08:58:25Z","cross_cats_sorted":[],"title_canon_sha256":"2ce8ebf7e7f74d645ad950de335ec0ff269fa6fa972f08cb9aae20160418b18c","abstract_canon_sha256":"387a6231b18276a704edbb5e22e0d811357dc0061d7430c80c482c80c65b391c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:54:49.021159Z","signature_b64":"v304xdbX+sBjxTxExvIODJ1E/dXmOvh2EfxyLCdKnxZe3JeZP4KazPD6Z/NuSFvMktZa8du94mSU4etpgbviBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b20210966472b956bc158ee1e268ab9d8f97a6c9f6d8bcf44e12e34952ea85da","last_reissued_at":"2026-05-18T03:54:49.020433Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:54:49.020433Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Interacting spins in a cavity: finite size effects and symmetry-breaking dynamics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Klaus M{\\o}lmer, S{\\o}ren Gammelmark","submitted_at":"2012-02-24T08:58:25Z","abstract_excerpt":"We calculate the ground state and simulate the dynamics of a finite chain of spins with Ising nearest-neighbor interactions and a Dicke collective spin interaction with a single mode cavity field. We recover the signatures of first and second order phase transitions predicted by mean field theory, while for small chains, we find significant and non-trivial finite size effects. Below the first order phase transition, even quite large spin chains of 30-40 spins give rise to a mean photon number and number fluctuations significantly above the mean field vacuum result. Near the second order phase "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1202.5397","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":"1202.5397","created_at":"2026-05-18T03:54:49.020543+00:00"},{"alias_kind":"arxiv_version","alias_value":"1202.5397v1","created_at":"2026-05-18T03:54:49.020543+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1202.5397","created_at":"2026-05-18T03:54:49.020543+00:00"},{"alias_kind":"pith_short_12","alias_value":"WIBBBFTEOK4V","created_at":"2026-05-18T12:27:25.539911+00:00"},{"alias_kind":"pith_short_16","alias_value":"WIBBBFTEOK4VNPAV","created_at":"2026-05-18T12:27:25.539911+00:00"},{"alias_kind":"pith_short_8","alias_value":"WIBBBFTE","created_at":"2026-05-18T12:27:25.539911+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/WIBBBFTEOK4VNPAVR3Q6E2FLTW","json":"https://pith.science/pith/WIBBBFTEOK4VNPAVR3Q6E2FLTW.json","graph_json":"https://pith.science/api/pith-number/WIBBBFTEOK4VNPAVR3Q6E2FLTW/graph.json","events_json":"https://pith.science/api/pith-number/WIBBBFTEOK4VNPAVR3Q6E2FLTW/events.json","paper":"https://pith.science/paper/WIBBBFTE"},"agent_actions":{"view_html":"https://pith.science/pith/WIBBBFTEOK4VNPAVR3Q6E2FLTW","download_json":"https://pith.science/pith/WIBBBFTEOK4VNPAVR3Q6E2FLTW.json","view_paper":"https://pith.science/paper/WIBBBFTE","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1202.5397&json=true","fetch_graph":"https://pith.science/api/pith-number/WIBBBFTEOK4VNPAVR3Q6E2FLTW/graph.json","fetch_events":"https://pith.science/api/pith-number/WIBBBFTEOK4VNPAVR3Q6E2FLTW/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/WIBBBFTEOK4VNPAVR3Q6E2FLTW/action/timestamp_anchor","attest_storage":"https://pith.science/pith/WIBBBFTEOK4VNPAVR3Q6E2FLTW/action/storage_attestation","attest_author":"https://pith.science/pith/WIBBBFTEOK4VNPAVR3Q6E2FLTW/action/author_attestation","sign_citation":"https://pith.science/pith/WIBBBFTEOK4VNPAVR3Q6E2FLTW/action/citation_signature","submit_replication":"https://pith.science/pith/WIBBBFTEOK4VNPAVR3Q6E2FLTW/action/replication_record"}},"created_at":"2026-05-18T03:54:49.020543+00:00","updated_at":"2026-05-18T03:54:49.020543+00:00"}