{
  "id": "2012.09853",
  "version": "v1",
  "published": "2020-12-17T18:59:39.000Z",
  "updated": "2020-12-17T18:59:39.000Z",
  "title": "In search of a many-body mobility edge with matrix product states in a Generalized Aubry-André model with interactions",
  "authors": [
    "Nicholas Pomata",
    "Sriram Ganeshan",
    "Tzu-Chieh Wei"
  ],
  "comment": "16 pages, 19 figures",
  "categories": [
    "cond-mat.dis-nn",
    "quant-ph"
  ],
  "abstract": "We investigate the possibility of a many-body mobility edge in the Generalized Aubry-Andr\\'e (GAA) model with interactions using the Shift-Invert Matrix Product States (SIMPS) algorithm (Phys. Rev. Lett. 118, 017201 (2017)). The non-interacting GAA model is a one-dimensional quasiperiodic model with a self-duality induced mobility edge. The advantage of SIMPS is that it targets many-body states in an energy-resolved fashion and does not require all many-body states to be localized for convergence, which allows us to test if the interacting GAA model manifests a many-body mobility edge. Our analysis indicates that the targeted states in the presence of the single particle mobility edge match neither `MBL-like' fully-converged localized states nor the fully delocalized case where SIMPS fails to converge. An entanglement-scaling analysis as a function of the finite bond dimension indicates that the many-body states in the vicinity of a single-particle mobility edge behave closer to how delocalized states manifest within the SIMPS method.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-12-17T18:59:39.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "many-body mobility edge",
      "matrix product states",
      "many-body states",
      "interactions",
      "single-particle mobility edge behave closer"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}