{
  "id": "1104.5306",
  "version": "v1",
  "published": "2011-04-28T06:23:32.000Z",
  "updated": "2011-04-28T06:23:32.000Z",
  "title": "Model study of dissipation in quantum phase transitions",
  "authors": [
    "Subhasis Sinha",
    "Sushanta Dattagupta"
  ],
  "categories": [
    "cond-mat.stat-mech",
    "quant-ph"
  ],
  "abstract": "We consider a prototypical system of an infinite range transverse field Ising model coupled to a bosonic bath. By integrating out the bosonic degrees, an effective anisotropic Heisenberg model is obtained for the spin system. The phase diagram of the latter is calculated as a function of coupling to the heat bath and the transverse magnetic field. Collective excitations at low temeratures are assessed within a spin-wave like analysis that exhibits a vanishing energy gap at the quantum critical point. We also consider another limit where the system reduces to a generalized spin-boson model of two interacting spins. By increasing the coupling strength with the heat bath, the two-spin wavefunction changes from an entangled state to a factorized state of two spins which are aligned along the transverse field. We also discuss the possible realization and application of the model to different physical systems.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-04-28T06:23:32.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "quantum phase transitions",
      "model study",
      "infinite range transverse field",
      "range transverse field ising model"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1104.5306S"
    }
  }
}