{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:OIQXRX2MTP6QAKAQ45KH5PDAU4","short_pith_number":"pith:OIQXRX2M","schema_version":"1.0","canonical_sha256":"722178df4c9bfd002810e7547ebc60a70061628888ee5b1d73a81f6c6fa06a97","source":{"kind":"arxiv","id":"2605.20542","version":1},"attestation_state":"computed","paper":{"title":"Mean-field and fluctuation dynamics in off-resonant two-mode atom-field interactions","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Alejandro R. Urz\\'ua, Carlos A. Gonz\\'alez-Guti\\'errez, Jos\\'e R\\'ecamier, Luis Medina-Dozal","submitted_at":"2026-05-19T22:30:51Z","abstract_excerpt":"We study a two-level system coupled to two quantized electromagnetic modes within the Jaynes-Cummings framework. While the single-mode model is exactly solvable due to its conserved excitation number, yielding finite-dimensional invariant subspaces, the two-mode model extension presents a fundamental challenge: although the total excitation number remains conserved, each invariant subspace is infinite-dimensional, preventing a closed-form analytical solution. Our scheme separates the dynamics into a dominant, exactly solvable semiclassical component, the atom interacting with the mean fields o"},"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":"2605.20542","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2026-05-19T22:30:51Z","cross_cats_sorted":[],"title_canon_sha256":"62b4c216a0fbada21339994baec72e4565e894e921928c368ae8d6c5de024a89","abstract_canon_sha256":"dad0c3d9872279ee4594574ff3de2d8c47c711691cde92785eab6b827b104883"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-21T01:04:41.765920Z","signature_b64":"L8ZC9nawpIzc0Sq8xubk3whxVwA7x0+tIY3HNlCV1/g8k74t38JbQhlsy5hgxxJDeMNT2qnmgHvr5ESr9iUmDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"722178df4c9bfd002810e7547ebc60a70061628888ee5b1d73a81f6c6fa06a97","last_reissued_at":"2026-05-21T01:04:41.765194Z","signature_status":"signed_v1","first_computed_at":"2026-05-21T01:04:41.765194Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Mean-field and fluctuation dynamics in off-resonant two-mode atom-field interactions","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Alejandro R. Urz\\'ua, Carlos A. Gonz\\'alez-Guti\\'errez, Jos\\'e R\\'ecamier, Luis Medina-Dozal","submitted_at":"2026-05-19T22:30:51Z","abstract_excerpt":"We study a two-level system coupled to two quantized electromagnetic modes within the Jaynes-Cummings framework. While the single-mode model is exactly solvable due to its conserved excitation number, yielding finite-dimensional invariant subspaces, the two-mode model extension presents a fundamental challenge: although the total excitation number remains conserved, each invariant subspace is infinite-dimensional, preventing a closed-form analytical solution. Our scheme separates the dynamics into a dominant, exactly solvable semiclassical component, the atom interacting with the mean fields o"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.20542","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/2605.20542/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":"2605.20542","created_at":"2026-05-21T01:04:41.765337+00:00"},{"alias_kind":"arxiv_version","alias_value":"2605.20542v1","created_at":"2026-05-21T01:04:41.765337+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.20542","created_at":"2026-05-21T01:04:41.765337+00:00"},{"alias_kind":"pith_short_12","alias_value":"OIQXRX2MTP6Q","created_at":"2026-05-21T01:04:41.765337+00:00"},{"alias_kind":"pith_short_16","alias_value":"OIQXRX2MTP6QAKAQ","created_at":"2026-05-21T01:04:41.765337+00:00"},{"alias_kind":"pith_short_8","alias_value":"OIQXRX2M","created_at":"2026-05-21T01:04:41.765337+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/OIQXRX2MTP6QAKAQ45KH5PDAU4","json":"https://pith.science/pith/OIQXRX2MTP6QAKAQ45KH5PDAU4.json","graph_json":"https://pith.science/api/pith-number/OIQXRX2MTP6QAKAQ45KH5PDAU4/graph.json","events_json":"https://pith.science/api/pith-number/OIQXRX2MTP6QAKAQ45KH5PDAU4/events.json","paper":"https://pith.science/paper/OIQXRX2M"},"agent_actions":{"view_html":"https://pith.science/pith/OIQXRX2MTP6QAKAQ45KH5PDAU4","download_json":"https://pith.science/pith/OIQXRX2MTP6QAKAQ45KH5PDAU4.json","view_paper":"https://pith.science/paper/OIQXRX2M","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2605.20542&json=true","fetch_graph":"https://pith.science/api/pith-number/OIQXRX2MTP6QAKAQ45KH5PDAU4/graph.json","fetch_events":"https://pith.science/api/pith-number/OIQXRX2MTP6QAKAQ45KH5PDAU4/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/OIQXRX2MTP6QAKAQ45KH5PDAU4/action/timestamp_anchor","attest_storage":"https://pith.science/pith/OIQXRX2MTP6QAKAQ45KH5PDAU4/action/storage_attestation","attest_author":"https://pith.science/pith/OIQXRX2MTP6QAKAQ45KH5PDAU4/action/author_attestation","sign_citation":"https://pith.science/pith/OIQXRX2MTP6QAKAQ45KH5PDAU4/action/citation_signature","submit_replication":"https://pith.science/pith/OIQXRX2MTP6QAKAQ45KH5PDAU4/action/replication_record"}},"created_at":"2026-05-21T01:04:41.765337+00:00","updated_at":"2026-05-21T01:04:41.765337+00:00"}