{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2005:GOZK6VQES4AU5JPGX27UZYKU4H","short_pith_number":"pith:GOZK6VQE","schema_version":"1.0","canonical_sha256":"33b2af560497014ea5e6bebf4ce154e1ebaba75b2459b353181ac007d59c406f","source":{"kind":"arxiv","id":"quant-ph/0508134","version":3},"attestation_state":"computed","paper":{"title":"Effects of random localizing events on matter waves: formalism and examples","license":"","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Julio Gea-Banacloche","submitted_at":"2005-08-18T14:44:16Z","abstract_excerpt":"A formalism is introduced to describe a number of physical processes that may break down the coherence of a matter wave over a characteristic length scale l. In a second-quantized description, an appropriate master equation for a set of bosonic \"modes\" (such as atoms in a lattice, in a tight-binding approximation) is derived. Two kinds of \"localizing processes\" are discussed in some detail and shown to lead to master equations of this general form: spontaneous emission (more precisely, light scattering), and modulation by external random potentials. Some of the dynamical consequences of these "},"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":"quant-ph/0508134","kind":"arxiv","version":3},"metadata":{"license":"","primary_cat":"quant-ph","submitted_at":"2005-08-18T14:44:16Z","cross_cats_sorted":[],"title_canon_sha256":"6d800362e202c1e70d71f2dfbf3acc54a05427df48ad66811c8f75accb48fb26","abstract_canon_sha256":"529bf393cd679713b4977c510bf67cd9cdf4b7183410de593d523ae1e951bfef"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:37:57.594663Z","signature_b64":"ncjGwT6HMRfhTjJ6UkoKXYKUOcl3UICZB3jyw0jal6iRxE7AFymITUPRzF4pVznY/p7vTjZzMRr38e/SMKYBDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"33b2af560497014ea5e6bebf4ce154e1ebaba75b2459b353181ac007d59c406f","last_reissued_at":"2026-05-18T01:37:57.593943Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:37:57.593943Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Effects of random localizing events on matter waves: formalism and examples","license":"","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Julio Gea-Banacloche","submitted_at":"2005-08-18T14:44:16Z","abstract_excerpt":"A formalism is introduced to describe a number of physical processes that may break down the coherence of a matter wave over a characteristic length scale l. In a second-quantized description, an appropriate master equation for a set of bosonic \"modes\" (such as atoms in a lattice, in a tight-binding approximation) is derived. Two kinds of \"localizing processes\" are discussed in some detail and shown to lead to master equations of this general form: spontaneous emission (more precisely, light scattering), and modulation by external random potentials. Some of the dynamical consequences of these "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"quant-ph/0508134","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":""},"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":"quant-ph/0508134","created_at":"2026-05-18T01:37:57.594049+00:00"},{"alias_kind":"arxiv_version","alias_value":"quant-ph/0508134v3","created_at":"2026-05-18T01:37:57.594049+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.quant-ph/0508134","created_at":"2026-05-18T01:37:57.594049+00:00"},{"alias_kind":"pith_short_12","alias_value":"GOZK6VQES4AU","created_at":"2026-05-18T12:25:53.335082+00:00"},{"alias_kind":"pith_short_16","alias_value":"GOZK6VQES4AU5JPG","created_at":"2026-05-18T12:25:53.335082+00:00"},{"alias_kind":"pith_short_8","alias_value":"GOZK6VQE","created_at":"2026-05-18T12:25:53.335082+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/GOZK6VQES4AU5JPGX27UZYKU4H","json":"https://pith.science/pith/GOZK6VQES4AU5JPGX27UZYKU4H.json","graph_json":"https://pith.science/api/pith-number/GOZK6VQES4AU5JPGX27UZYKU4H/graph.json","events_json":"https://pith.science/api/pith-number/GOZK6VQES4AU5JPGX27UZYKU4H/events.json","paper":"https://pith.science/paper/GOZK6VQE"},"agent_actions":{"view_html":"https://pith.science/pith/GOZK6VQES4AU5JPGX27UZYKU4H","download_json":"https://pith.science/pith/GOZK6VQES4AU5JPGX27UZYKU4H.json","view_paper":"https://pith.science/paper/GOZK6VQE","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=quant-ph/0508134&json=true","fetch_graph":"https://pith.science/api/pith-number/GOZK6VQES4AU5JPGX27UZYKU4H/graph.json","fetch_events":"https://pith.science/api/pith-number/GOZK6VQES4AU5JPGX27UZYKU4H/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/GOZK6VQES4AU5JPGX27UZYKU4H/action/timestamp_anchor","attest_storage":"https://pith.science/pith/GOZK6VQES4AU5JPGX27UZYKU4H/action/storage_attestation","attest_author":"https://pith.science/pith/GOZK6VQES4AU5JPGX27UZYKU4H/action/author_attestation","sign_citation":"https://pith.science/pith/GOZK6VQES4AU5JPGX27UZYKU4H/action/citation_signature","submit_replication":"https://pith.science/pith/GOZK6VQES4AU5JPGX27UZYKU4H/action/replication_record"}},"created_at":"2026-05-18T01:37:57.594049+00:00","updated_at":"2026-05-18T01:37:57.594049+00:00"}