{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:ENOUIMYLHMQQIHFPK7WGONYQ4N","short_pith_number":"pith:ENOUIMYL","schema_version":"1.0","canonical_sha256":"235d44330b3b21041caf57ec673710e356afa7a4840cbaefc84541c0606608b1","source":{"kind":"arxiv","id":"1406.1408","version":1},"attestation_state":"computed","paper":{"title":"Power-law approach to steady state in open lattices of non-interacting electrons","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.mes-hall","authors_text":"M. V. Medvedyeva, S. Kehrein","submitted_at":"2014-06-05T14:56:51Z","abstract_excerpt":"We address the question of how a non-equilibrium steady state (NESS) is reached in the Linbdladian dynamics of an open quantum system. We develop an expansion of the density matrix in terms of the NESS-excitations, each of which has its own (exponential) decay rate. However, when the decay rates tend to zero for many NESS-excitations (the spectral gap of the Liouvillian is closed in the thermodynamic limit), the long-time dynamics of the system can exhibit a power-law behaviour. This relaxation to NESS expectation values is determined by the density of states close to zero spectral gap and the"},"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":"1406.1408","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2014-06-05T14:56:51Z","cross_cats_sorted":[],"title_canon_sha256":"f21defe8ac195136bba62956e1a2235cb7475ff482abc1a66b93966aadf576ea","abstract_canon_sha256":"ef2d51de9dce8515ded363c44d43a0666ce0a9e987bcb4508c2f2d3bfff8dba2"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:34:52.214156Z","signature_b64":"qcIiwMmgVJIfoziarC57ugJEXW7hJPCYqaSoiB5WvtdvwlGVPWU9CkCrrSGGYcLaycY6LxkbZ3Qn4mA72RZsAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"235d44330b3b21041caf57ec673710e356afa7a4840cbaefc84541c0606608b1","last_reissued_at":"2026-05-18T02:34:52.213793Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:34:52.213793Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Power-law approach to steady state in open lattices of non-interacting electrons","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.mes-hall","authors_text":"M. V. Medvedyeva, S. Kehrein","submitted_at":"2014-06-05T14:56:51Z","abstract_excerpt":"We address the question of how a non-equilibrium steady state (NESS) is reached in the Linbdladian dynamics of an open quantum system. We develop an expansion of the density matrix in terms of the NESS-excitations, each of which has its own (exponential) decay rate. However, when the decay rates tend to zero for many NESS-excitations (the spectral gap of the Liouvillian is closed in the thermodynamic limit), the long-time dynamics of the system can exhibit a power-law behaviour. This relaxation to NESS expectation values is determined by the density of states close to zero spectral gap and the"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.1408","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":"1406.1408","created_at":"2026-05-18T02:34:52.213847+00:00"},{"alias_kind":"arxiv_version","alias_value":"1406.1408v1","created_at":"2026-05-18T02:34:52.213847+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.1408","created_at":"2026-05-18T02:34:52.213847+00:00"},{"alias_kind":"pith_short_12","alias_value":"ENOUIMYLHMQQ","created_at":"2026-05-18T12:28:28.263976+00:00"},{"alias_kind":"pith_short_16","alias_value":"ENOUIMYLHMQQIHFP","created_at":"2026-05-18T12:28:28.263976+00:00"},{"alias_kind":"pith_short_8","alias_value":"ENOUIMYL","created_at":"2026-05-18T12:28:28.263976+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/ENOUIMYLHMQQIHFPK7WGONYQ4N","json":"https://pith.science/pith/ENOUIMYLHMQQIHFPK7WGONYQ4N.json","graph_json":"https://pith.science/api/pith-number/ENOUIMYLHMQQIHFPK7WGONYQ4N/graph.json","events_json":"https://pith.science/api/pith-number/ENOUIMYLHMQQIHFPK7WGONYQ4N/events.json","paper":"https://pith.science/paper/ENOUIMYL"},"agent_actions":{"view_html":"https://pith.science/pith/ENOUIMYLHMQQIHFPK7WGONYQ4N","download_json":"https://pith.science/pith/ENOUIMYLHMQQIHFPK7WGONYQ4N.json","view_paper":"https://pith.science/paper/ENOUIMYL","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1406.1408&json=true","fetch_graph":"https://pith.science/api/pith-number/ENOUIMYLHMQQIHFPK7WGONYQ4N/graph.json","fetch_events":"https://pith.science/api/pith-number/ENOUIMYLHMQQIHFPK7WGONYQ4N/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ENOUIMYLHMQQIHFPK7WGONYQ4N/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ENOUIMYLHMQQIHFPK7WGONYQ4N/action/storage_attestation","attest_author":"https://pith.science/pith/ENOUIMYLHMQQIHFPK7WGONYQ4N/action/author_attestation","sign_citation":"https://pith.science/pith/ENOUIMYLHMQQIHFPK7WGONYQ4N/action/citation_signature","submit_replication":"https://pith.science/pith/ENOUIMYLHMQQIHFPK7WGONYQ4N/action/replication_record"}},"created_at":"2026-05-18T02:34:52.213847+00:00","updated_at":"2026-05-18T02:34:52.213847+00:00"}