{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:RPRJGHZ4JMYFACNDYHRPIM2VJ4","short_pith_number":"pith:RPRJGHZ4","schema_version":"1.0","canonical_sha256":"8be2931f3c4b305009a3c1e2f433554f2f534a19a4fc7e105a892912ea4bbb9a","source":{"kind":"arxiv","id":"1602.07612","version":1},"attestation_state":"computed","paper":{"title":"A quantum random walk of a Bose-Einstein condensate in momentum space","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.quant-gas","nlin.CD"],"primary_cat":"quant-ph","authors_text":"Gil Summy, Sandro Wimberger","submitted_at":"2016-02-24T17:38:29Z","abstract_excerpt":"Each step in a quantum random walk is typically understood to have two basic components; a `coin-toss' which produces a random superposition of two states, and a displacement which moves each component of the superposition by different amounts. Here we suggest the realization of a walk in momentum space with a spinor Bose-Einstein condensate subject to a quantum ratchet realized with a pulsed, off-resonant optical lattice. By an appropriate choice of the lattice detuning, we show how the atomic momentum can be entangled with the internal spin states of the atoms. For the coin-toss, we propose "},"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":"1602.07612","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-02-24T17:38:29Z","cross_cats_sorted":["cond-mat.quant-gas","nlin.CD"],"title_canon_sha256":"6a750378a23ed3e92ec11fb084ee6af6c28635f08f170a70d8e11139b394b91d","abstract_canon_sha256":"689ef34306993cbdceedb5e35e4392131488987b54ca7fcc5b801dfc060e3a74"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:20:02.513749Z","signature_b64":"eZcw55znrDYNJyUXT8IJ7fXkOhjbfKu0bKCUxSD1nvMq7Af+gpECY84TRMmWfyP0HATwqFE5vBU89MRXMLwiDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8be2931f3c4b305009a3c1e2f433554f2f534a19a4fc7e105a892912ea4bbb9a","last_reissued_at":"2026-05-18T01:20:02.513058Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:20:02.513058Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A quantum random walk of a Bose-Einstein condensate in momentum space","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.quant-gas","nlin.CD"],"primary_cat":"quant-ph","authors_text":"Gil Summy, Sandro Wimberger","submitted_at":"2016-02-24T17:38:29Z","abstract_excerpt":"Each step in a quantum random walk is typically understood to have two basic components; a `coin-toss' which produces a random superposition of two states, and a displacement which moves each component of the superposition by different amounts. Here we suggest the realization of a walk in momentum space with a spinor Bose-Einstein condensate subject to a quantum ratchet realized with a pulsed, off-resonant optical lattice. By an appropriate choice of the lattice detuning, we show how the atomic momentum can be entangled with the internal spin states of the atoms. For the coin-toss, we propose "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1602.07612","kind":"arxiv","version":1},"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":"1602.07612","created_at":"2026-05-18T01:20:02.513161+00:00"},{"alias_kind":"arxiv_version","alias_value":"1602.07612v1","created_at":"2026-05-18T01:20:02.513161+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1602.07612","created_at":"2026-05-18T01:20:02.513161+00:00"},{"alias_kind":"pith_short_12","alias_value":"RPRJGHZ4JMYF","created_at":"2026-05-18T12:30:41.710351+00:00"},{"alias_kind":"pith_short_16","alias_value":"RPRJGHZ4JMYFACND","created_at":"2026-05-18T12:30:41.710351+00:00"},{"alias_kind":"pith_short_8","alias_value":"RPRJGHZ4","created_at":"2026-05-18T12:30:41.710351+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/RPRJGHZ4JMYFACNDYHRPIM2VJ4","json":"https://pith.science/pith/RPRJGHZ4JMYFACNDYHRPIM2VJ4.json","graph_json":"https://pith.science/api/pith-number/RPRJGHZ4JMYFACNDYHRPIM2VJ4/graph.json","events_json":"https://pith.science/api/pith-number/RPRJGHZ4JMYFACNDYHRPIM2VJ4/events.json","paper":"https://pith.science/paper/RPRJGHZ4"},"agent_actions":{"view_html":"https://pith.science/pith/RPRJGHZ4JMYFACNDYHRPIM2VJ4","download_json":"https://pith.science/pith/RPRJGHZ4JMYFACNDYHRPIM2VJ4.json","view_paper":"https://pith.science/paper/RPRJGHZ4","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1602.07612&json=true","fetch_graph":"https://pith.science/api/pith-number/RPRJGHZ4JMYFACNDYHRPIM2VJ4/graph.json","fetch_events":"https://pith.science/api/pith-number/RPRJGHZ4JMYFACNDYHRPIM2VJ4/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/RPRJGHZ4JMYFACNDYHRPIM2VJ4/action/timestamp_anchor","attest_storage":"https://pith.science/pith/RPRJGHZ4JMYFACNDYHRPIM2VJ4/action/storage_attestation","attest_author":"https://pith.science/pith/RPRJGHZ4JMYFACNDYHRPIM2VJ4/action/author_attestation","sign_citation":"https://pith.science/pith/RPRJGHZ4JMYFACNDYHRPIM2VJ4/action/citation_signature","submit_replication":"https://pith.science/pith/RPRJGHZ4JMYFACNDYHRPIM2VJ4/action/replication_record"}},"created_at":"2026-05-18T01:20:02.513161+00:00","updated_at":"2026-05-18T01:20:02.513161+00:00"}