{
  "annotation_id": "68bafc77-5dad-475e-bb00-1fbb6f7700bc",
  "date_created": "2026-03-02T18:02:34.485000Z",
  "date_modified": "2026-03-02T18:02:34.485000Z",
  "file_hash": "2c88932717694e0915244131429aadfd07602668eaa4f3a5432ce4b3d3727286",
  "private": false,
  "record": {
    "abstract": "We consider a single harmonic oscillator coupled to a bath at zero\ntemperature. As is well known, the oscillator then has a higher average energy\nthan that given by its ground state. Here we show analytically that for a\ndamping model with arbitrarily discrete distribution of bath modes and damping\nmodels with continuous distributions of bath modes with cut-off frequencies,\nthis excess energy is less than the work needed to couple the system to the\nbath, therefore, the quantum second law is not violated. On the other hand, the\nsecond law may be violated for bath modes without cut-off frequencies, which\nare, however, physically unrealistic models.",
    "arxiv_id": "quant-ph/0612038",
    "authors": [
      "ILki Kim",
      "Guenter Mahler"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1140/epjb/e2007-00119-2",
    "title": "Quantum Brownian motion and the second law of thermodynamics",
    "url": "https://arxiv.org/abs/quant-ph/0612038"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "60e457a7-eaee-47e4-ad2a-4ad497c55b0b",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}