{
  "id": "quant-ph/0306142",
  "version": "v1",
  "published": "2003-06-20T22:37:57.000Z",
  "updated": "2003-06-20T22:37:57.000Z",
  "title": "Decoherence and the Loschmidt echo",
  "authors": [
    "F. M. Cucchietti",
    "D. A. R. Dalvit",
    "J. P. Paz",
    "W. H. Zurek"
  ],
  "journal": "Phys. Rev. Lett. 91, 210403 (2003).",
  "doi": "10.1103/PhysRevLett.91.210403",
  "categories": [
    "quant-ph",
    "nlin.CD"
  ],
  "abstract": "Environment--induced decoherence causes entropy increase. It can be quantified using, e.g., the purity $\\varsigma={\\rm Tr}\\rho^2$. When the Hamiltonian of a quantum system is perturbed, its sensitivity to such perturbation can be measured by the Loschmidt echo $\\bar M(t)$. It is given by the average squared overlap between the perturbed and unperturbed state. We describe the relation between the temporal behavior of $\\varsigma(t)$ and $\\bar M(t)$. In this way we show that the decay of the Loschmidt echo can be analyzed using tools developed in the study of decoherence. In particular, for systems with a classically chaotic Hamiltonian the decay of $\\varsigma$ and $\\bar M$ has a regime where it is dominated by the classical Lyapunov exponents",
  "revisions": [
    {
      "version": "v1",
      "updated": "2003-06-20T22:37:57.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "loschmidt echo",
      "decoherence",
      "temporal behavior",
      "entropy increase",
      "quantum system"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. Lett."
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}