{"paper":{"title":"The quantum harmonic oscillator in a dissipative bath of anyon pairs","license":"http://creativecommons.org/licenses/by/4.0/","headline":"A dissipative harmonic oscillator coupled to an anyon bath exhibits relaxation dynamics with anyonic features most pronounced at intermediate temperatures.","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"(2) Fachbereich Physik und Forschungszentrum OPTIMAS Rheinland-Pf\\\"alzische Technische Universit\\\"at Kaiserslautern-Landau), Axel Pelster (2), Michael Thorwart (1) ((1) Institut f\\\"ur Theoretische Physik Universit\\\"at Hamburg, Nils-Henrik Meyer (1)","submitted_at":"2026-04-24T08:17:54Z","abstract_excerpt":"We generalize the formalism of open quantum systems to introduce anyon baths. In particular, we work out a dissipative anyon bath composed of independent pairs of one-dimensional Grundberg-Hansson harmonically bound anyons, which are characterized by one statistical parameter. Using a mapping of these anyons to a bosonic bath with rescaled oscillator frequencies, we show that the original bilinear system-bath coupling assumes a particular non-polynomial form. To determine the relaxation properties, we use the imaginary-time path integral formalism together with a generalization of Wick's theor"},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"The relaxation dynamics of the dissipative harmonic oscillator in an anyon bath is found. Anyonic features turn out to be most pronounced in the regime of intermediate temperatures.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"The mapping of Grundberg-Hansson harmonically bound anyon pairs to a bosonic bath with rescaled oscillator frequencies preserves the essential dissipative physics and allows the bilinear coupling to be treated via the smearing formula.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"Anyon-pair baths yield a nontrivial temperature-dependent spectral density and modified relaxation for a dissipative quantum harmonic oscillator, with anyonic effects most pronounced at intermediate temperatures.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"A dissipative harmonic oscillator coupled to an anyon bath exhibits relaxation dynamics with anyonic features most pronounced at intermediate temperatures.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"d7217aa4f2ed2fc5bf1ab6bab32cee414bc92e8e9655e66688693168611bf11b"},"source":{"id":"2604.22342","kind":"arxiv","version":2},"verdict":{"id":"c105f272-82ee-4fd1-83c0-301712af83fa","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-08T09:43:23.729854Z","strongest_claim":"The relaxation dynamics of the dissipative harmonic oscillator in an anyon bath is found. Anyonic features turn out to be most pronounced in the regime of intermediate temperatures.","one_line_summary":"Anyon-pair baths yield a nontrivial temperature-dependent spectral density and modified relaxation for a dissipative quantum harmonic oscillator, with anyonic effects most pronounced at intermediate temperatures.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"The mapping of Grundberg-Hansson harmonically bound anyon pairs to a bosonic bath with rescaled oscillator frequencies preserves the essential dissipative physics and allows the bilinear coupling to be treated via the smearing formula.","pith_extraction_headline":"A dissipative harmonic oscillator coupled to an anyon bath exhibits relaxation dynamics with anyonic features most pronounced at intermediate temperatures."},"integrity":{"clean":false,"summary":{"advisory":0,"critical":3,"by_detector":{"doi_compliance":{"total":3,"advisory":0,"critical":3,"informational":0}},"informational":0},"endpoint":"/pith/2604.22342/integrity.json","findings":[{"note":"DOI '10.1142/6738' as printed in the bibliography is syntactically invalid and cannot resolve.","detector":"doi_compliance","severity":"critical","ref_index":1,"audited_at":"2026-05-20T00:05:09.401349Z","detected_doi":"10.1142/6738","finding_type":"broken_identifier","verdict_class":"incontrovertible","detected_arxiv_id":null},{"note":"DOI '10.1142/7305' as printed in the bibliography is syntactically invalid and cannot resolve.","detector":"doi_compliance","severity":"critical","ref_index":31,"audited_at":"2026-05-20T00:05:09.401349Z","detected_doi":"10.1142/7305","finding_type":"broken_identifier","verdict_class":"incontrovertible","detected_arxiv_id":null},{"note":"Identifier '10.1016/c2009-0-22516-5' is syntactically valid but the DOI registry (doi.org) returned 404, and Crossref / OpenAlex / internal corpus also have no record. 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