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These results have been obtained in the regime $\\omega$0 $\\ll$ kBT $\\ll$ $\\Gamma$, where $\\omega$0, T , and $\\Gamma$ are the mechanical resonating frequency, the temperature, and the tunneling rate, respectively. A similar behavior could be expected in the quantum regime of $\\Gamma$ $\\ll$ kBT $\\ll$ $\\omega$0. We thus calculate the energy and displacement fluctuation spectra and study their be"},"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":"1801.03747","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2018-01-11T13:25:36Z","cross_cats_sorted":[],"title_canon_sha256":"a312ec5cc249ef3073fdc5520a9cb49944aa92721f01c19b5f16d79181c74a7a","abstract_canon_sha256":"7e11b39a82360c83a4933a42040bf0a94d91bb077daabe9602261b230cdbf141"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:17:41.220701Z","signature_b64":"lLQ9LvNBxrM99ohf6086/MCrrYoAzx47Gz0Lg8AzRi4msm2oOzDMYaDtVtjPkFg5ej4Wh9JBRYHXwIpOqVwXCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"64f33e1f4d1c78cd714b4c1143bc70c0eaba040be25dd3d981735e094ea18c3c","last_reissued_at":"2026-05-18T00:17:41.220065Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:17:41.220065Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Bistability and Displacement Fluctuations in a Quantum Nano-mechanical Oscillator","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.mes-hall","authors_text":"B Murr (LOMA), F. Pistolesi (LOMA), R\\'emi Avriller (LOMA)","submitted_at":"2018-01-11T13:25:36Z","abstract_excerpt":"Remarkable features have been predicted for the mechanical fluctuations at the bistability transition of a classical oscillator coupled capacitively to a quantum dot [Phys. Rev. Lett. 115, 206802 (2015)]. These results have been obtained in the regime $\\omega$0 $\\ll$ kBT $\\ll$ $\\Gamma$, where $\\omega$0, T , and $\\Gamma$ are the mechanical resonating frequency, the temperature, and the tunneling rate, respectively. A similar behavior could be expected in the quantum regime of $\\Gamma$ $\\ll$ kBT $\\ll$ $\\omega$0. 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