{
  "id": "1007.2857",
  "version": "v2",
  "published": "2010-07-16T20:03:38.000Z",
  "updated": "2010-12-01T02:37:27.000Z",
  "title": "Dynamics, Synchronization and Quantum Phase Transitions of Two Dissipative Spins",
  "authors": [
    "Peter P. Orth",
    "David Roosen",
    "Walter Hofstetter",
    "Karyn Le Hur"
  ],
  "comment": "21 pages, 18 figures",
  "journal": "Phys. Rev. B 82, 144423 (2010) (Editors' Suggestion)",
  "doi": "10.1103/PhysRevB.82.144423",
  "categories": [
    "cond-mat.mes-hall",
    "cond-mat.stat-mech",
    "quant-ph"
  ],
  "abstract": "We analyze the static and dynamical properties of two Ising-coupled quantum spins embedded in a common bosonic bath as an archetype of dissipative quantum mechanics. First, we elucidate the ground state phase diagram for an ohmic and a subohmic bath using a combination of bosonic numerical renormalization group (NRG), analytical techniques and intuitive arguments. Second, employing the time-dependent NRG we investigate the system's rich dynamical behavior arising from the complex interplay between spin-spin and spin-bath interactions. Interestingly, spin oscillations can synchronize due to the proximity of the common non-Markovian bath and the system displays highly entangled steady states for certain nonequilibrium initial preparations. We complement our non-perturbative numerical results by exact analytical solutions when available and provide quantitative limits on the applicability of the perturbative Bloch-Redfield approach at weak coupling.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2010-12-01T02:37:27.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03.65.Yz",
      "05.30.Jp",
      "05.10.Cc",
      "03.75.Gg"
    ],
    "keywords": [
      "quantum phase transitions",
      "dissipative spins",
      "rich dynamical behavior arising",
      "ground state phase diagram",
      "synchronization"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review B",
      "year": 2010,
      "month": "Oct",
      "volume": 82,
      "number": 14,
      "pages": 144423
    },
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010PhRvB..82n4423O"
    }
  }
}