{
  "id": "1509.01392",
  "version": "v1",
  "published": "2015-09-04T10:06:34.000Z",
  "updated": "2015-09-04T10:06:34.000Z",
  "title": "Fidelity decay and entropy production in many-particle systems after random interaction quench",
  "authors": [
    "S. K. Haldar",
    "N. D. Chavda",
    "V. K. B. Kota"
  ],
  "categories": [
    "cond-mat.stat-mech",
    "quant-ph"
  ],
  "abstract": "Fidelity decay and entropy production, with time, of a many particle system of fermions (or bosons) in a mean-field and quenched by a random two-body interaction is generated by a Hamiltonian that is represented by embedded Gaussian orthogonal ensemble of random matrices (for time-reversal and rotationally invariant systems) with one plus two-body interactions [EGOE(1+2)]. Numerical studies are carried out for a system of 8 fermions in 16 single particle states with the fermions carrying spin degree of freedom and also for a system with 10 bosons in 5 single particle states, by varying the strength of the interaction. Results for the fidelity decay compare well not only with the EGOE formula in the Gaussian domain but also with a new formula for the BW to Gaussian transition region. Applying the approximation suggested by Flambaum and Izrailev, formula for entropy production for EGOE(1+2) in the Gaussian region with extension into BW region is derived along with an analytical expression for the time $t_{sat}$ for onset of saturation of entropy. These EGOE results are in good agreement with numerical calculations. Finally, Fermion system shows significant spin dependence of the relaxation dynamics of the entropy.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-09-04T10:06:34.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "entropy production",
      "fidelity decay",
      "random interaction quench",
      "many-particle systems",
      "single particle states"
    ],
    "publication": {
      "doi": "10.1088/1742-5468/2016/04/043101",
      "journal": "Journal of Statistical Mechanics: Theory and Experiment",
      "year": 2016,
      "month": "Apr",
      "volume": 4,
      "pages": 43101
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2016JSMTE..04.3101H"
    }
  }
}