dorsal/arxiv
View SchemaEntropy of a Quantum Oscillator coupled to a Heat Bath and implications for Quantum Thermodynamics
| Authors | G. W. Ford, R. F. O'Connell |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0601096 |
| URL | https://arxiv.org/abs/quant-ph/0601096 |
| DOI | 10.1016/j.physe.2005.05.004 |
| Journal | Physica E 29, 82 (2005) |
Abstract
The free energy of a quantum oscillator in an arbitrary heat bath at a temperature T is given by a "remarkable formula" which involves only a single integral. This leads to a corresponding simple result for the entropy. The low temperature limit is examined in detail and we obtain explicit results both for the case of an Ohmic heat bath and a radiation heat bath. More general heat bath models are also examined. This enables us to determine the entropy at zero temperature in order to check the third law of thermodynamics in the quantum regime
{
"annotation_id": "2cafbd2e-7d0d-4a59-8154-6f766bb2909c",
"date_created": "2026-03-02T18:02:24.084000Z",
"date_modified": "2026-03-02T18:02:24.084000Z",
"file_hash": "c383443657cc5f6bd1e46fed5fe6f34ee7cfe5e53e893269ba64165cf1912ab9",
"private": false,
"record": {
"abstract": "The free energy of a quantum oscillator in an arbitrary heat bath at a\ntemperature T is given by a \"remarkable formula\" which involves only a single\nintegral. This leads to a corresponding simple result for the entropy. The low\ntemperature limit is examined in detail and we obtain explicit results both for\nthe case of an Ohmic heat bath and a radiation heat bath. More general heat\nbath models are also examined. This enables us to determine the entropy at zero\ntemperature in order to check the third law of thermodynamics in the quantum\nregime",
"arxiv_id": "quant-ph/0601096",
"authors": [
"G. W. Ford",
"R. F. O\u0027Connell"
],
"categories": [
"quant-ph"
],
"doi": "10.1016/j.physe.2005.05.004",
"journal_ref": "Physica E 29, 82 (2005)",
"title": "Entropy of a Quantum Oscillator coupled to a Heat Bath and implications for Quantum Thermodynamics",
"url": "https://arxiv.org/abs/quant-ph/0601096"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "3d0f0f68-5081-45fe-9df5-0787ab221a1e",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}