{"paper":{"title":"Symmetry-Enforced Non-Hermitian Jarzynski Equality in an SU(2)-Rotated Family of Hybrid $\\mathcal{PT}$--$\\mathcal{APT}$ Systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"A parity-exchange symmetry extends the conditional Jarzynski equality from isolated PT systems to an entire SU(2)-rotated family of hybrid PT-APT Hamiltonians.","cross_cats":["cond-mat.stat-mech"],"primary_cat":"quant-ph","authors_text":"Feng Zhu, Le Luo, Teng Liu, Xiaodong Tan, Zongru Yang","submitted_at":"2026-05-11T07:16:06Z","abstract_excerpt":"The Jarzynski equality is a cornerstone of nonequilibrium thermodynamics, linking work statistics to equilibrium free-energy differences. Although it has been extensively verified in classical and quantum Hermitian settings, its status in non-Hermitian dynamics remains under debate. Here we show that, in a postselected no-quantum-jump framework, a conditional non-Hermitian Jarzynski equality holds when the transition probabilities obey a parity-exchange symmetry. We study a constructed family of two-level hybrid Hamiltonians formed as linear combinations of parity-time ($\\mathcal{PT}$) and ant"},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"the parity-exchange symmetry persists throughout the corresponding SU(2)-rotated orbit. Relative to previous PT-focused conditional Jarzynski equality results, the advance here is an extension of the symmetry criterion from the isolated PT endpoint to a broader PT–APT hybrid family.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"the transition probabilities obey a parity-exchange symmetry (invoked in the postselected no-quantum-jump framework) and that the two-level restriction plus the specific hybrid Hamiltonian construction are representative of the broader non-Hermitian case.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"A parity-exchange symmetry enforces the conditional non-Hermitian Jarzynski equality throughout an SU(2)-rotated family of hybrid PT-APT two-level systems, confirmed experimentally at three points in a trapped ytterbium ion.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"A parity-exchange symmetry extends the conditional Jarzynski equality from isolated PT systems to an entire SU(2)-rotated family of hybrid PT-APT Hamiltonians.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"42933e619804cc2f30857c4305ac39a337fd14282bf10528b693f1205a970f9b"},"source":{"id":"2605.10099","kind":"arxiv","version":2},"verdict":{"id":"df22131e-8f62-4f96-a38b-a23f0fe5a253","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-12T03:15:35.718180Z","strongest_claim":"the parity-exchange symmetry persists throughout the corresponding SU(2)-rotated orbit. Relative to previous PT-focused conditional Jarzynski equality results, the advance here is an extension of the symmetry criterion from the isolated PT endpoint to a broader PT–APT hybrid family.","one_line_summary":"A parity-exchange symmetry enforces the conditional non-Hermitian Jarzynski equality throughout an SU(2)-rotated family of hybrid PT-APT two-level systems, confirmed experimentally at three points in a trapped ytterbium ion.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"the transition probabilities obey a parity-exchange symmetry (invoked in the postselected no-quantum-jump framework) and that the two-level restriction plus the specific hybrid Hamiltonian construction are representative of the broader non-Hermitian case.","pith_extraction_headline":"A parity-exchange symmetry extends the conditional Jarzynski equality from isolated PT systems to an entire SU(2)-rotated family of hybrid PT-APT Hamiltonians."},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2605.10099/integrity.json","findings":[],"available":true,"detectors_run":[{"name":"claim_evidence","ran_at":"2026-05-20T06:42:01.042322Z","status":"completed","version":"1.0.0","findings_count":0},{"name":"ai_meta_artifact","ran_at":"2026-05-19T15:41:02.205405Z","status":"completed","version":"1.0.0","findings_count":0},{"name":"doi_title_agreement","ran_at":"2026-05-19T12:01:17.797467Z","status":"completed","version":"1.0.0","findings_count":0},{"name":"doi_compliance","ran_at":"2026-05-19T09:41:04.165708Z","status":"completed","version":"1.0.0","findings_count":0}],"snapshot_sha256":"c58da7d970d917736c3c74c8a8e7da0174fd6c290792ae39add33b485069c846"},"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"}