{
  "id": "cond-mat/0011321",
  "version": "v2",
  "published": "2000-11-20T06:58:42.000Z",
  "updated": "2000-12-19T06:19:23.000Z",
  "title": "The second law of Thermodynamics as a theorem in quantum mechanics",
  "authors": [
    "Hal Tasaki"
  ],
  "comment": "8 pages, LaTeX, new references added in the revised version",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "We treat a quantum mechanical system with certain general properties which are expected to be common in macroscopic quantum systems. Starting from a PURE initial state (which may not describe an equilibrium) in which energy is mildly concentrated at a single value, we consider a time evolution determined by a time-dependent Hamiltonian as a model of an adiabatic operation in thermodynamics. We take a family of operations with the same procedure and various ``waiting times.'' Then the Minimum Work Principle is rigorously proved for almost all choices of the waiting time.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2000-12-19T06:19:23.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "quantum mechanics",
      "second law",
      "thermodynamics",
      "minimum work principle",
      "waiting time"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2000cond.mat.11321T"
    }
  }
}