{
  "id": "2012.01610",
  "version": "v1",
  "published": "2020-11-29T07:57:18.000Z",
  "updated": "2020-11-29T07:57:18.000Z",
  "title": "Structure of wavefunction for interacting bosons in mean-field with random $k$-body interactions",
  "authors": [
    "Priyanka Rao",
    "N. D. Chavda"
  ],
  "comment": "23 pages, 7 figures",
  "categories": [
    "cond-mat.stat-mech",
    "quant-ph"
  ],
  "abstract": "Wavefunction structure is analyzed for interacting many-boson systems using Hamiltonian $H$, which is a sum of one-body $h(1)$ and an embedded GOE of $k$-body interaction $V(k)$ with strength $\\lambda$. For sufficiently large $\\lambda$, the conditional $q$-normal density describes Gaussian to semi-circle transition in strength functions as body rank $k$ of the interaction increases. This interpolating form describes the fidelity decay after $k$-body interaction quench very well. Also, obtained is the smooth form for the number of principal components, which is a measure of chaos in finite interacting many-particle systems and it describes embedded ensemble results well in chaotic domain for all $k$ values.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-11-29T07:57:18.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "interacting bosons",
      "mean-field",
      "finite interacting many-particle systems",
      "body interaction quench",
      "body rank"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 23,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}