{"paper":{"title":"Trapped bosons in mean field QED, nonlinear resonance cascades and dynamical BEC formation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"Nonlinear resonance cascades in mean-field QED produce monotone energy decrease in trapped bosons and establish dynamical BEC formation.","cross_cats":["math.AP","math.MP","quant-ph"],"primary_cat":"math-ph","authors_text":"Ali Mezher, Thomas Chen","submitted_at":"2026-04-13T17:29:54Z","abstract_excerpt":"In this paper, we study a system of bosons trapped in a confining potential, interacting with a quantized field of coherent photons in the mean field description of non-relativistic Quantum Electrodynamics (QED) obtained by [N. Leopold and P. Pickl , 2017]. We derive the effective nonlinear cascade equations governing the emission and absorption of coherent photons by the boson subsystem in a combined weak-coupling and macroscopic time limit. We demonstrate that solutions to this nonlinear cascade describe a monotone decreasing energy flow in the boson subsystem. Thereby, we prove that a Bose-"},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"We demonstrate that solutions to this nonlinear cascade describe a monotone decreasing energy flow in the boson subsystem. Thereby, we prove that a Bose-Einstein condensate (BEC) forms dynamically, under conservation of the total boson L2 mass.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"The combined weak-coupling and macroscopic time limit applied to the mean-field non-relativistic QED description from Leopold and Pickl (2017) produces the effective nonlinear cascade equations whose solutions exhibit the claimed monotone energy decrease.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"Nonlinear cascade equations derived from mean-field QED for trapped bosons prove dynamical BEC formation via monotone energy flow under conserved L2 mass, distinct from thermal relaxation.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"Nonlinear resonance cascades in mean-field QED produce monotone energy decrease in trapped bosons and establish dynamical BEC formation.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"b85fc5f5d6db5b70bf080bd1b0f57d9bc7b3f47216c8613ae89234b45c872329"},"source":{"id":"2604.11756","kind":"arxiv","version":3},"verdict":{"id":"8b908911-a88b-45d5-8465-eecad952bab8","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-10T16:09:09.668492Z","strongest_claim":"We demonstrate that solutions to this nonlinear cascade describe a monotone decreasing energy flow in the boson subsystem. Thereby, we prove that a Bose-Einstein condensate (BEC) forms dynamically, under conservation of the total boson L2 mass.","one_line_summary":"Nonlinear cascade equations derived from mean-field QED for trapped bosons prove dynamical BEC formation via monotone energy flow under conserved L2 mass, distinct from thermal relaxation.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"The combined weak-coupling and macroscopic time limit applied to the mean-field non-relativistic QED description from Leopold and Pickl (2017) produces the effective nonlinear cascade equations whose solutions exhibit the claimed monotone energy decrease.","pith_extraction_headline":"Nonlinear resonance cascades in mean-field QED produce monotone energy decrease in trapped bosons and establish dynamical BEC formation."},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2604.11756/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"}