{
  "id": "1503.01512",
  "version": "v1",
  "published": "2015-03-05T02:22:11.000Z",
  "updated": "2015-03-05T02:22:11.000Z",
  "title": "Universal scaling in quenches across a discontinuity critical point",
  "authors": [
    "Sei Suzuki",
    "Amit Dutta"
  ],
  "comment": "7 pages, 4 figures, including supplemental material",
  "categories": [
    "cond-mat.stat-mech",
    "quant-ph"
  ],
  "abstract": "We study slow variation (both spatial as well as temporal) of a parameter of a system in the vicinity of discontinuous quantum phase transitions, in particular, a discontinuity critical point (DCP) (or a first-order critical point). We obtain the universal scaling relations of the density of defects and the residual energy after a temporal quench, while we also unravel the scaling of the characteristic length scale associated with a spatial quench of a symmetry breaking field. Considering a spin-1/2 XXZ chain we establish how these scaling relations get modified when the DCP is located at the boundary of a gapless critical phase; these predictions are also confirmed numerically.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-03-05T02:22:11.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "discontinuity critical point",
      "universal scaling",
      "study slow variation",
      "discontinuous quantum phase transitions",
      "scaling relations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150301512S"
    }
  }
}