{
  "id": "0912.5436",
  "version": "v1",
  "published": "2009-12-30T09:59:10.000Z",
  "updated": "2009-12-30T09:59:10.000Z",
  "title": "Entanglement generation and evolution in open quantum systems",
  "authors": [
    "Aurelian Isar"
  ],
  "comment": "16 pages, 4 figures; talk at the 40th Symposium on Mathematical Physics \"Geometry & Quanta\", Torun, Poland (2008)",
  "journal": "Open Sys. Inf. Dynamics, vol. 16, no.2-3, 205-219 (2009)",
  "categories": [
    "quant-ph"
  ],
  "abstract": "In the framework of the theory of open systems based on completely positive quantum dynamical semigroups, we study the continuous variable entanglement for a system consisting of two independent harmonic oscillators interacting with a general environment. We solve the Kossakowski-Lindblad master equation for the time evolution of the considered system and describe the entanglement in terms of the covariance matrix for an arbitrary Gaussian input state. Using Peres-Simon necessary and sufficient criterion for separability of two-mode Gaussian states, we show that for certain values of diffusion and dissipation coefficients describing the environment, the state keeps for all times its initial type: separable or entangled. In other cases, entanglement generation, entanglement sudden death or a periodic collapse and revival of entanglement take place. We analyze also the time evolution of the logarithmic negativity, which characterizes the degree of entanglement of the quantum state.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-12-30T09:59:10.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "open quantum systems",
      "entanglement generation",
      "arbitrary gaussian input state",
      "time evolution",
      "entanglement sudden death"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0912.5436I"
    }
  }
}