{
  "id": "2304.13587",
  "version": "v1",
  "published": "2023-04-26T14:29:58.000Z",
  "updated": "2023-04-26T14:29:58.000Z",
  "title": "Reduced basis surrogates for quantum spin systems based on tensor networks",
  "authors": [
    "Paul Brehmer",
    "Michael F. Herbst",
    "Stefan Wessel",
    "Matteo Rizzi",
    "Benjamin Stamm"
  ],
  "comment": "15 pages, 13 figures",
  "categories": [
    "quant-ph",
    "cond-mat.str-el"
  ],
  "abstract": "Within the reduced basis methods approach, an effective low-dimensional subspace of a quantum many-body Hilbert space is constructed in order to investigate, e.g., the ground-state phase diagram. The basis of this subspace is built from solutions of snapshots, i.e., ground states corresponding to particular and well-chosen parameter values. Here, we show how a greedy strategy to assemble the reduced basis and thus to select the parameter points can be implemented based on matrix-product-states (MPS) calculations. Once the reduced basis has been obtained, observables required for the computation of phase diagrams can be computed with a computational complexity independent of the underlying Hilbert space for any parameter value. We illustrate the efficiency and accuracy of this approach for different one-dimensional quantum spin-1 models, including anisotropic as well as biquadratic exchange interactions, leading to rich quantum phase diagrams.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-04-26T14:29:58.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "quantum spin systems",
      "reduced basis surrogates",
      "tensor networks",
      "rich quantum phase diagrams",
      "quantum many-body hilbert space"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}