{
  "id": "2201.06308",
  "version": "v2",
  "published": "2022-01-17T09:41:39.000Z",
  "updated": "2022-10-25T16:00:56.000Z",
  "title": "Preferred basis derived from eigenstate thermalization hypothesis",
  "authors": [
    "Hua Yan",
    "Jiaozi Wang",
    "Wen-ge Wang"
  ],
  "journal": "Physical Review A 106, 042219 (2022)",
  "doi": "10.1103/PhysRevA.106.042219",
  "categories": [
    "quant-ph",
    "cond-mat.stat-mech"
  ],
  "abstract": "We study the long-time average of the reduced density matrix (RDM) of an $m$-level central system, which is locally coupled to a large environment, under an overall Schr\\\"{o}dinger evolution of the total system. We consider a class of interaction Hamiltonian, whose environmental part satisfies the so-called eigenstate thermalization hypothesis (ETH) ansatz with a constant diagonal part in the energy region concerned. On the eigenbasis of the central system's Hamiltonian, $\\frac{1}{2}(m-1)(m+2)$ relations among elements of the averaged RDM are derived. When steady states exist, these relations imply the existence of a preferred basis, given by a renormalized Hamiltonian that includes certain averaged impact of the system-environment interaction. Numerical simulations performed for a qubit coupled to a defect Ising chain conform the analytical predictions.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2022-10-25T16:00:56.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "eigenstate thermalization hypothesis",
      "preferred basis",
      "defect ising chain conform",
      "central systems hamiltonian",
      "constant diagonal part"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. A"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}