{
  "id": "1305.2104",
  "version": "v2",
  "published": "2013-05-09T14:36:38.000Z",
  "updated": "2013-07-21T20:07:38.000Z",
  "title": "Kinetic and thermodynamic temperatures in quantum systems",
  "authors": [
    "Alessio Gagliardi",
    "Alessandro Pecchia",
    "Aldo Di Carlo"
  ],
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "In this work we present a formalism to describe non equilibrium conditions in systems with a discretized energy spectrum, such as quantum systems. We develop a formalism based on a combination of Gibbs-Shannon entropy and information thermodynamics that arrives to a generalization of the De-Brujin identity applicable to discrete and non-symmetric distributions. This allows to define the concept of a thermodynamic temperature with a different, albeit complementary meaning to the equilibrium kinetic temperature of a system. The theory is applied to Bosonic and Fermionic cases represented by an harmonic oscillator and a single energy state, respectively. We show that the formalism correctly recovers known results at equilibrium, then we demonstrate an application to a genuine non equilibrium state: a coherent quantum oscillator.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-07-21T20:07:38.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "quantum systems",
      "thermodynamic temperature",
      "genuine non equilibrium state",
      "coherent quantum oscillator",
      "single energy state"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1305.2104G"
    }
  }
}