{
  "id": "2012.15239",
  "version": "v1",
  "published": "2020-12-30T17:28:33.000Z",
  "updated": "2020-12-30T17:28:33.000Z",
  "title": "Adiabatic theorem in the thermodynamic limit. Part II: Systems with a gap in the bulk",
  "authors": [
    "Joscha Henheik",
    "Stefan Teufel"
  ],
  "categories": [
    "math-ph",
    "math.MP",
    "quant-ph"
  ],
  "abstract": "We prove a generalised super-adiabatic theorem for extended fermionic systems assuming a spectral gap only in the bulk. More precisely, we assume that the infinite system has a unique ground state and that the corresponding GNS-Hamiltonian has a spectral gap above its eigenvalue zero. Moreover, we show that a similar adiabatic theorem also holds in the bulk of finite systems up to errors that vanish faster than any inverse power of the system size, although the corresponding finite volume Hamiltonians need not have a spectral gap.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-12-30T17:28:33.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "81Q15",
      "81Q20",
      "81V70"
    ],
    "keywords": [
      "thermodynamic limit",
      "spectral gap",
      "corresponding finite volume hamiltonians",
      "unique ground state",
      "similar adiabatic theorem"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}