{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:HHOIZXBEK2GPNCIOBPPXOQ3HGE","short_pith_number":"pith:HHOIZXBE","schema_version":"1.0","canonical_sha256":"39dc8cdc24568cf6890e0bdf77436731368f4c65cb9da158b73528b350c67538","source":{"kind":"arxiv","id":"1907.07333","version":3},"attestation_state":"computed","paper":{"title":"A new Berry phase term in parity-time symmetric non-Hermitian spin-1/2 quantum systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.quant-gas","quant-ph"],"primary_cat":"cond-mat.mes-hall","authors_text":"Ananya Ghatak, Tanmoy Das","submitted_at":"2019-07-17T05:03:22Z","abstract_excerpt":"Recently developed parity ($\\mathcal{P}$) and time-reversal ($\\mathcal{T}$) symmetric non-Hermitian quantum theory is envisioned to have far-reaching implications in basic science and applications. It is known that the $PT$-inner product is defined with respect to a non-canonical, system-generated dynamical symmetry, namely the $C$ symmetry. Here, we show that the $PT$ invariant equation of motion is defined by the simultaneous time evolution of the state $\\psi(t)$ and the operator $C(t)$ to manifest unitarity. The dynamical $C$ operator lends itself to a new term in the Berry phase. The $PT$ "},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1907.07333","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2019-07-17T05:03:22Z","cross_cats_sorted":["cond-mat.quant-gas","quant-ph"],"title_canon_sha256":"7b54ec8c3470b623c53ae173025ee0c8f34cd5dbdca141dc40c2c053983f9a3b","abstract_canon_sha256":"3099c89491c8a3d50f6ac75c6bfc9331a80c29c7db62a52e2fa0565d7f46ea94"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T01:49:13.822562Z","signature_b64":"U318EEidf0IXtyCYE1GMbGF4GA4jK+vxx1tvH9iVjKOtE5L4CZQf5VEvAEZb5KS3HSp5qldB7aGAuULR4Z4UCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"39dc8cdc24568cf6890e0bdf77436731368f4c65cb9da158b73528b350c67538","last_reissued_at":"2026-07-05T01:49:13.822138Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T01:49:13.822138Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A new Berry phase term in parity-time symmetric non-Hermitian spin-1/2 quantum systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.quant-gas","quant-ph"],"primary_cat":"cond-mat.mes-hall","authors_text":"Ananya Ghatak, Tanmoy Das","submitted_at":"2019-07-17T05:03:22Z","abstract_excerpt":"Recently developed parity ($\\mathcal{P}$) and time-reversal ($\\mathcal{T}$) symmetric non-Hermitian quantum theory is envisioned to have far-reaching implications in basic science and applications. It is known that the $PT$-inner product is defined with respect to a non-canonical, system-generated dynamical symmetry, namely the $C$ symmetry. Here, we show that the $PT$ invariant equation of motion is defined by the simultaneous time evolution of the state $\\psi(t)$ and the operator $C(t)$ to manifest unitarity. The dynamical $C$ operator lends itself to a new term in the Berry phase. The $PT$ "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1907.07333","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1907.07333/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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1907.07333","created_at":"2026-07-05T01:49:13.822193+00:00"},{"alias_kind":"arxiv_version","alias_value":"1907.07333v3","created_at":"2026-07-05T01:49:13.822193+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1907.07333","created_at":"2026-07-05T01:49:13.822193+00:00"},{"alias_kind":"pith_short_12","alias_value":"HHOIZXBEK2GP","created_at":"2026-07-05T01:49:13.822193+00:00"},{"alias_kind":"pith_short_16","alias_value":"HHOIZXBEK2GPNCIO","created_at":"2026-07-05T01:49:13.822193+00:00"},{"alias_kind":"pith_short_8","alias_value":"HHOIZXBE","created_at":"2026-07-05T01:49:13.822193+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"1908.02066","citing_title":"Non-Hermitian Floquet topological phases in the double-kicked rotor","ref_index":62,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/HHOIZXBEK2GPNCIOBPPXOQ3HGE","json":"https://pith.science/pith/HHOIZXBEK2GPNCIOBPPXOQ3HGE.json","graph_json":"https://pith.science/api/pith-number/HHOIZXBEK2GPNCIOBPPXOQ3HGE/graph.json","events_json":"https://pith.science/api/pith-number/HHOIZXBEK2GPNCIOBPPXOQ3HGE/events.json","paper":"https://pith.science/paper/HHOIZXBE"},"agent_actions":{"view_html":"https://pith.science/pith/HHOIZXBEK2GPNCIOBPPXOQ3HGE","download_json":"https://pith.science/pith/HHOIZXBEK2GPNCIOBPPXOQ3HGE.json","view_paper":"https://pith.science/paper/HHOIZXBE","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1907.07333&json=true","fetch_graph":"https://pith.science/api/pith-number/HHOIZXBEK2GPNCIOBPPXOQ3HGE/graph.json","fetch_events":"https://pith.science/api/pith-number/HHOIZXBEK2GPNCIOBPPXOQ3HGE/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/HHOIZXBEK2GPNCIOBPPXOQ3HGE/action/timestamp_anchor","attest_storage":"https://pith.science/pith/HHOIZXBEK2GPNCIOBPPXOQ3HGE/action/storage_attestation","attest_author":"https://pith.science/pith/HHOIZXBEK2GPNCIOBPPXOQ3HGE/action/author_attestation","sign_citation":"https://pith.science/pith/HHOIZXBEK2GPNCIOBPPXOQ3HGE/action/citation_signature","submit_replication":"https://pith.science/pith/HHOIZXBEK2GPNCIOBPPXOQ3HGE/action/replication_record"}},"created_at":"2026-07-05T01:49:13.822193+00:00","updated_at":"2026-07-05T01:49:13.822193+00:00"}