{"paper":{"title":"Robust Superradiance and Spontaneous Spin Ordering in Disordered Waveguide Quantum Electrodynamics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"The hallmark N squared scaling of superradiant emission remains asymptotically robust to strong spatial and spectral disorder in a one-dimensional waveguide.","cross_cats":["physics.atom-ph","physics.optics"],"primary_cat":"quant-ph","authors_text":"Daniel Malz, Peter Rabl, Xin H. H. Zhang","submitted_at":"2025-10-15T15:30:30Z","abstract_excerpt":"We study the collective emission of a disordered array of $N$ excited two-level atoms into a one-dimensional photonic waveguide. In the perfectly ordered case, where atoms are spaced by exact integer multiples of the wavelength, the system exhibits the characteristic superradiant burst with a peak emission rate scaling as $N^2$. Using large-scale semiclassical simulations, we find that this key signature of superradiance remains asymptotically robust under strong spatial and spectral disorder, but also exhibits subtle finite-size scaling toward this limit. To explain our observations, we provi"},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"the key signature of superradiance remains asymptotically robust under strong spatial and spectral disorder, but also exhibits subtle finite-size scaling toward this limit","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"The semiclassical approximation used in the large-scale simulations accurately captures the collective decay dynamics even under strong disorder, without significant quantum corrections that would alter the observed robustness or ordering.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"Superradiant emission remains asymptotically robust to strong disorder in waveguide QED arrays because atoms spontaneously self-organize their spin states to optimize constructive interference.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"The hallmark N squared scaling of superradiant emission remains asymptotically robust to strong spatial and spectral disorder in a one-dimensional waveguide.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"82de47d12b04e752a67c0833eecf0c7eb0568b3718d7b10d22c169fd0bffda6b"},"source":{"id":"2510.13671","kind":"arxiv","version":3},"verdict":{"id":"ad359af5-16db-42a5-a5e7-89f702745db4","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-18T07:06:34.283044Z","strongest_claim":"the key signature of superradiance remains asymptotically robust under strong spatial and spectral disorder, but also exhibits subtle finite-size scaling toward this limit","one_line_summary":"Superradiant emission remains asymptotically robust to strong disorder in waveguide QED arrays because atoms spontaneously self-organize their spin states to optimize constructive interference.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"The semiclassical approximation used in the large-scale simulations accurately captures the collective decay dynamics even under strong disorder, without significant quantum corrections that would alter the observed robustness or ordering.","pith_extraction_headline":"The hallmark N squared scaling of superradiant emission remains asymptotically robust to strong spatial and spectral disorder in a one-dimensional waveguide."},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2510.13671/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":78,"sample":[{"doi":"","year":null,"title":"(10) can be separated into a stochastic part dα(0) R/L =− κ 2 α(0) R/Ldt+ r κ 2 dWR/L, (B1) and a deterministic part d dt α(1) R/L =− κ 2 α(1) R/L + g√ 2 ˜JR/L","work_id":"58cb35b5-e180-4e7a-891c-6b09699c8185","ref_index":1,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":null,"title":"Adiabatic Elimination In the Markovian limit, where the bosonic modes are heav- ily damped withκ≫γN, we can adiabatically elimi- nate the dynamics ofα R(t)andα L(t)to derive a set of re- duced stochas","work_id":"1253d30d-9162-45bd-9011-831d04971b80","ref_index":2,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":null,"title":"That is, we can further have [64] λmax( ˆR2)≤6λ prod,max( ˆR2).(F8) We then have an upper bound ofλ max( ˆR2)given by λmax( ˆR)≤γN+ 6λ prod,max( ˆR2).(F9) Combining Eq","work_id":"c11e6540-fa64-4ff9-b239-f95817d724c9","ref_index":3,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":null,"title":"Simulations useN= 400 atoms and10 3 trajectories","work_id":"753944ed-72e8-4ea8-814b-93e31522013c","ref_index":4,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":1954,"title":"R. H. Dicke, Coherence in spontaneous radiation processes, Phys. Rev.93, 99 (1954)","work_id":"5905f19c-0b04-4972-a708-b575c815f22f","ref_index":5,"cited_arxiv_id":"","is_internal_anchor":false}],"resolved_work":78,"snapshot_sha256":"1d36833ae59a14bef0e18ecfbec22b0f364b992a1644bbf85344e296a0891e95","internal_anchors":1},"formal_canon":{"evidence_count":2,"snapshot_sha256":"e05acd037c79e491c604b63fb3bdb5fe50c000807aaefc2ac1f233eea9ea34f4"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}