{"paper":{"title":"Multipole blackbody radiation shift in Rydberg atoms","license":"http://creativecommons.org/licenses/by/4.0/","headline":"Retardation must be included in blackbody radiation shifts for Rydberg atoms above temperature α mc² / (3 k_B n²), where non-dipole terms dominate the dipole contribution.","cross_cats":[],"primary_cat":"physics.atom-ph","authors_text":"R. M. Potvliege","submitted_at":"2026-05-15T15:54:01Z","abstract_excerpt":"We study the role of retardation in the energy shift of Rydberg states induced by thermal radiation, focusing on the case of temperatures higher than those for which the electric-dipole approximation is expected to apply. As anticipated by Farley and Wing [Phys. Rev. A {\\bf 23}, 2397 (1981)], retardation needs to be taken into account in calculations of this energy shift at and above the temperature $\\alpha\\, mc^2/(3k_{\\rm B}\\,n^2)$, where $n$ is the principal quantum number of the state considered, $m$ is the mass of the electron and $k_{\\rm B}$ is Boltzmann constant.The corresponding non-dip"},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"Retardation needs to be taken into account in calculations of this energy shift at and above the temperature α mc²/(3 k_B n²); the corresponding non-dipole shift dominates the electric-dipole shift at about 2.5 times that characteristic temperature; the electric-quadrupole thermal shift is of the same order of magnitude as the diamagnetic thermal shift.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"The extension of the Farley-Wing framework to include retardation and quadrupole terms remains valid without additional higher-order corrections or changes in the thermal radiation spectrum assumptions at the temperatures considered.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"Retardation and multipole corrections to blackbody radiation shifts in Rydberg states become dominant above a characteristic temperature of order α mc² / (3 k_B n²), with quadrupole and diamagnetic shifts of similar magnitude.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"Retardation must be included in blackbody radiation shifts for Rydberg atoms above temperature α mc² / (3 k_B n²), where non-dipole terms dominate the dipole contribution.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"d0a49ae84f080f24fc6707af45001445c4eba7d1eff213370a83c9d46cc2a9d2"},"source":{"id":"2605.16100","kind":"arxiv","version":1},"verdict":{"id":"92071423-b0c3-48a2-813c-059cb731aaec","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-19T17:55:59.173212Z","strongest_claim":"Retardation needs to be taken into account in calculations of this energy shift at and above the temperature α mc²/(3 k_B n²); the corresponding non-dipole shift dominates the electric-dipole shift at about 2.5 times that characteristic temperature; the electric-quadrupole thermal shift is of the same order of magnitude as the diamagnetic thermal shift.","one_line_summary":"Retardation and multipole corrections to blackbody radiation shifts in Rydberg states become dominant above a characteristic temperature of order α mc² / (3 k_B n²), with quadrupole and diamagnetic shifts of similar magnitude.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"The extension of the Farley-Wing framework to include retardation and quadrupole terms remains valid without additional higher-order corrections or changes in the thermal radiation spectrum assumptions at the temperatures considered.","pith_extraction_headline":"Retardation must be included in blackbody radiation shifts for Rydberg atoms above temperature α mc² / (3 k_B n²), where non-dipole terms dominate the dipole contribution."},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2605.16100/integrity.json","findings":[],"available":true,"detectors_run":[{"name":"doi_compliance","ran_at":"2026-05-19T18:10:12.997067Z","status":"completed","version":"1.0.0","findings_count":0},{"name":"doi_title_agreement","ran_at":"2026-05-19T18:01:18.537181Z","status":"completed","version":"1.0.0","findings_count":0},{"name":"ai_meta_artifact","ran_at":"2026-05-19T17:33:38.085449Z","status":"skipped","version":"1.0.0","findings_count":0},{"name":"claim_evidence","ran_at":"2026-05-19T16:41:55.489474Z","status":"completed","version":"1.0.0","findings_count":0}],"snapshot_sha256":"1bd56b0f52fb9cbc6d2e7bb190559c6e6a1fa69e8e1cc85b1bfc8f3ddccc77e0"},"references":{"count":34,"sample":[{"doi":"","year":2000,"title":"Methods In the case of hydrogen, we calculate the electric- dipole shiftδE (E1) a and electric-quadrupole shiftδE (E2) a without retardation using the method outlined in Ap- pendix D of Ref. [15]. Tha","work_id":"bcc5a614-4d56-46d1-9f29-700195b72e95","ref_index":1,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":null,"title":"1(a) for the case of s-states of hydrogen at room temperature","work_id":"fab74f97-d32f-4baa-9787-acbb6c2f6ca2","ref_index":2,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":null,"title":"2 (T= 300 K, as in Fig","work_id":"1c436e7e-08da-4a8e-a580-ef893e8e830c","ref_index":3,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":null,"title":"Doing so for cesium yields the other set of results shown in Fig","work_id":"232756dd-ba68-4826-9e25-4fe258cf21e8","ref_index":4,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":1938,"title":"We found that the higher multipole BBR shifts of Rydberg states are also dom- inated by the contributions of neighboring intermediate states for which|E p−Ea|/kBT≪1","work_id":"a8dd7c7d-791c-483d-8839-0004c55b4e6e","ref_index":5,"cited_arxiv_id":"","is_internal_anchor":false}],"resolved_work":34,"snapshot_sha256":"f7398af1f477aebc13e0ab0d157d21b335ee0ea7e1e43338fbbdea26ccbb8244","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"}