{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:EDWM4QFRLSST6Y24QVO4MS5CKQ","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"328a5a3c5c7e20ea0b2858666bcc7daf5757cb4b42ae0820334c38f3f902ba67","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-08-11T04:59:21Z","title_canon_sha256":"308ecfa146326f44c95e97c169d76ed2e9b55825bc620be7cef1734af3c9250a"},"schema_version":"1.0","source":{"id":"1008.1831","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1008.1831","created_at":"2026-05-18T03:23:47Z"},{"alias_kind":"arxiv_version","alias_value":"1008.1831v2","created_at":"2026-05-18T03:23:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1008.1831","created_at":"2026-05-18T03:23:47Z"},{"alias_kind":"pith_short_12","alias_value":"EDWM4QFRLSST","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_16","alias_value":"EDWM4QFRLSST6Y24","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_8","alias_value":"EDWM4QFR","created_at":"2026-05-18T12:26:06Z"}],"graph_snapshots":[{"event_id":"sha256:0382b2e49b4fbdc325af302ce9336125784c3046bbd208a687e02fa96b16af9e","target":"graph","created_at":"2026-05-18T03:23:47Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"We present a theoretical analysis of a coupled, two-state Bose-Einstein condensate with non-equal scattering lengths, and show that dynamical instabilities can be excited. We demonstrate that these instabilities are exponentially amplified resulting in highly-directional, oppositely-propagating, coherent matter beams at specific momenta. To accomplish this we prove that the mean field of our system is periodic, and extend the standard Bogoliubov approach to consider a time-dependent, but cyclic, background. This allows us to use Floquet's theorem to gain analytic insight into such systems, rat","authors_text":"Graham R. Dennis, Mattias T. Johnsson","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-08-11T04:59:21Z","title":"Generation of directional, coherent matter beams through dynamical instabilities in Bose-Einstein condensates"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1008.1831","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:db251ee2091f372291c1e1561343e7fa7806c2e31d4caaa491a01fca07405161","target":"record","created_at":"2026-05-18T03:23:47Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"328a5a3c5c7e20ea0b2858666bcc7daf5757cb4b42ae0820334c38f3f902ba67","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-08-11T04:59:21Z","title_canon_sha256":"308ecfa146326f44c95e97c169d76ed2e9b55825bc620be7cef1734af3c9250a"},"schema_version":"1.0","source":{"id":"1008.1831","kind":"arxiv","version":2}},"canonical_sha256":"20ecce40b15ca53f635c855dc64ba25405d0655811e0dc67e210bad03eb92649","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"20ecce40b15ca53f635c855dc64ba25405d0655811e0dc67e210bad03eb92649","first_computed_at":"2026-05-18T03:23:47.932695Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:23:47.932695Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"rYodq+SOf4k7MnVAA1JFeZtjbT3LqTvS4iqVLk5727LgMRERbm4J1fBMB/9vjCRzZptIyrAZqPRCZS7SRZ4JAA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:23:47.933288Z","signed_message":"canonical_sha256_bytes"},"source_id":"1008.1831","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:db251ee2091f372291c1e1561343e7fa7806c2e31d4caaa491a01fca07405161","sha256:0382b2e49b4fbdc325af302ce9336125784c3046bbd208a687e02fa96b16af9e"],"state_sha256":"815d153ed819e68c6125020d355dcbbc0c9a364eba20e25ee499bc251e9703ed"}