{
  "id": "1809.04058",
  "version": "v1",
  "published": "2018-09-11T17:47:51.000Z",
  "updated": "2018-09-11T17:47:51.000Z",
  "title": "Many-body quantum dynamics by the TDDFT-based theory of the density matrix",
  "authors": [
    "Vladimir U. Nazarov"
  ],
  "comment": "5 pages, 4 figures",
  "categories": [
    "cond-mat.mes-hall"
  ],
  "abstract": "We introduce a method of evaluating the density matrix of an arbitrary quantum mechanical system in terms of the quantities pertinent to the solution of the time-dependent density functional theory (TDDFT) problem. Our theory utilizes the adiabatic connection perturbation method [G\\\"{o}rling and Levy, Phys. Rev. A {\\bf 50}, 196 (1994), G\\\"{o}rling, ibid. {\\bf 55}, 2630 (1997)], from which the expansion of the density matrix in powers of the interaction constant $\\lambda$ naturally arises. By this, we obtain the one-density-matrix $\\rho_\\lambda(\\rv,\\rv',t)$, which, by construction, has the $\\lambda$-independent diagonal elements $\\rho_\\lambda(\\rv,\\rv,t)=n(\\rv,t)$, where $n(\\rv,t)$ is the particle density. The off-diagonal elements of $\\rho_\\lambda(\\rv,\\rv',t)$ importantly contribute to the processes beyond the reach of TDDFT, of which we consider the momentum-resolved photoemission, doing this to the first order in $\\lambda$ (exact exchange). In an illustrative calculation of photoemission from the quasi-2D electron gas with {\\it one filled subband} we find strong deviations from the independent-particle Fermi golden rule formula.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-09-11T17:47:51.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "density matrix",
      "many-body quantum dynamics",
      "tddft-based theory",
      "independent-particle fermi golden rule formula",
      "adiabatic connection perturbation method"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}