{
  "id": "1610.02019",
  "version": "v1",
  "published": "2016-10-06T19:52:35.000Z",
  "updated": "2016-10-06T19:52:35.000Z",
  "title": "Enriching the dynamical phase diagram of spin chains with long-range interactions",
  "authors": [
    "Jad C. Halimeh",
    "Valentin Zauner-Stauber"
  ],
  "comment": "9 pages and 9 figures",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "Using an infinite matrix product state technique (iMPS) based on the time-dependent variational principle, we study two major types of dynamical phase transition (DPT) in the transverse-field Ising model with long-range power-law ($\\propto1/r^{\\alpha}$ with $r$ inter-spin distance) interactions in the thermodynamic limit -- \\textit{type-I}: based on order parameters in a (quasi-)steady state, and \\textit{type-II}: based on nonanalyticities (cusps) in the Loschmidt-echo return rate. We construct the corresponding rich dynamical phase diagram, whilst considering different quench initial conditions. We find a nontrivial connection between both types of DPT based on their critical lines. Moreover, we observe a new type-II dynamical phase in a certain range of interaction exponent $\\alpha$, characterized by what we call \\textit{anomalous cusps}, which are distinct from the regular cusps usually associated with a type-II DPT. We illustrate the transition between these two groups of cusps through the rate-function branches of the iMPS transfer matrix, which is a major strength of this method for studying the type-II DPT. Our results provide the characterization of experimentally-accessible signatures of the dynamical phases studied in this work.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-10-06T19:52:35.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "long-range interactions",
      "spin chains",
      "rich dynamical phase diagram",
      "infinite matrix product state technique",
      "type-ii dpt"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}