{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:LGNPIBCZ5XSEVE3WHWE54RRVGK","short_pith_number":"pith:LGNPIBCZ","schema_version":"1.0","canonical_sha256":"599af40459ede44a93763d89de463532b08ebcaba6662d12c3972277be5b398b","source":{"kind":"arxiv","id":"1112.2407","version":1},"attestation_state":"computed","paper":{"title":"Periodically modulated quantum nonlinear oscillators","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","quant-ph"],"primary_cat":"cond-mat.mes-hall","authors_text":"M. I. Dykman","submitted_at":"2011-12-11T21:41:55Z","abstract_excerpt":"This book chapter describes the dynamics of a modulated oscillator for resonant and nonresonant modulation. Two types of resonant modulation are considered: additive, with frequency close to the oscillator eigenfrequency, and parametric, with frequency close to twice the eigenfrequency. It is shown that relaxation of the oscillator is accompanied by quantum noise, which leads to a finite-width distribution over quantum states even for T=0. The quantum noise also leads to switching between coexisting vibrational states via transitions over the barrier in phase space. The switching mechanism, qu"},"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":"1112.2407","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2011-12-11T21:41:55Z","cross_cats_sorted":["cond-mat.stat-mech","quant-ph"],"title_canon_sha256":"4de3bed293a879a3e71c30e1b2a9a43c4ae3a55e60934974043238eed7b107bc","abstract_canon_sha256":"35949063ae7a420169bba3949a65e524e57b654d43c4f15e45b9240f3e45d355"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:06:34.531137Z","signature_b64":"GBrZle8OXHKa6M5cVRqLWfdDpRIogq9K/QD92rx7jEvbDyH4s1etUH3ybSlztFsFo0hlzisr+ctQ/xBs+GDZCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"599af40459ede44a93763d89de463532b08ebcaba6662d12c3972277be5b398b","last_reissued_at":"2026-05-18T04:06:34.530541Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:06:34.530541Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Periodically modulated quantum nonlinear oscillators","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","quant-ph"],"primary_cat":"cond-mat.mes-hall","authors_text":"M. I. Dykman","submitted_at":"2011-12-11T21:41:55Z","abstract_excerpt":"This book chapter describes the dynamics of a modulated oscillator for resonant and nonresonant modulation. Two types of resonant modulation are considered: additive, with frequency close to the oscillator eigenfrequency, and parametric, with frequency close to twice the eigenfrequency. It is shown that relaxation of the oscillator is accompanied by quantum noise, which leads to a finite-width distribution over quantum states even for T=0. The quantum noise also leads to switching between coexisting vibrational states via transitions over the barrier in phase space. The switching mechanism, qu"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1112.2407","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":"1112.2407","created_at":"2026-05-18T04:06:34.530617+00:00"},{"alias_kind":"arxiv_version","alias_value":"1112.2407v1","created_at":"2026-05-18T04:06:34.530617+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1112.2407","created_at":"2026-05-18T04:06:34.530617+00:00"},{"alias_kind":"pith_short_12","alias_value":"LGNPIBCZ5XSE","created_at":"2026-05-18T12:26:34.985390+00:00"},{"alias_kind":"pith_short_16","alias_value":"LGNPIBCZ5XSEVE3W","created_at":"2026-05-18T12:26:34.985390+00:00"},{"alias_kind":"pith_short_8","alias_value":"LGNPIBCZ","created_at":"2026-05-18T12:26:34.985390+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/LGNPIBCZ5XSEVE3WHWE54RRVGK","json":"https://pith.science/pith/LGNPIBCZ5XSEVE3WHWE54RRVGK.json","graph_json":"https://pith.science/api/pith-number/LGNPIBCZ5XSEVE3WHWE54RRVGK/graph.json","events_json":"https://pith.science/api/pith-number/LGNPIBCZ5XSEVE3WHWE54RRVGK/events.json","paper":"https://pith.science/paper/LGNPIBCZ"},"agent_actions":{"view_html":"https://pith.science/pith/LGNPIBCZ5XSEVE3WHWE54RRVGK","download_json":"https://pith.science/pith/LGNPIBCZ5XSEVE3WHWE54RRVGK.json","view_paper":"https://pith.science/paper/LGNPIBCZ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1112.2407&json=true","fetch_graph":"https://pith.science/api/pith-number/LGNPIBCZ5XSEVE3WHWE54RRVGK/graph.json","fetch_events":"https://pith.science/api/pith-number/LGNPIBCZ5XSEVE3WHWE54RRVGK/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/LGNPIBCZ5XSEVE3WHWE54RRVGK/action/timestamp_anchor","attest_storage":"https://pith.science/pith/LGNPIBCZ5XSEVE3WHWE54RRVGK/action/storage_attestation","attest_author":"https://pith.science/pith/LGNPIBCZ5XSEVE3WHWE54RRVGK/action/author_attestation","sign_citation":"https://pith.science/pith/LGNPIBCZ5XSEVE3WHWE54RRVGK/action/citation_signature","submit_replication":"https://pith.science/pith/LGNPIBCZ5XSEVE3WHWE54RRVGK/action/replication_record"}},"created_at":"2026-05-18T04:06:34.530617+00:00","updated_at":"2026-05-18T04:06:34.530617+00:00"}