{
  "id": "1808.07411",
  "version": "v1",
  "published": "2018-08-22T15:51:23.000Z",
  "updated": "2018-08-22T15:51:23.000Z",
  "title": "Electric-Field Control of Bound States and Optical Spectrum in Window-Coupled Quantum Waveguides",
  "authors": [
    "O. Olendski"
  ],
  "comment": "21 pages, 12 figures",
  "categories": [
    "cond-mat.mes-hall",
    "quant-ph"
  ],
  "abstract": "Properties of the bound states of two quantum waveguides coupled via the window of the width $s$ in their common boundary are calculated under the assumption that the transverse electric field $\\pmb{\\mathscr{E}}$ is applied to the structure. It is shown that the increase of the electric intensity brings closer to each other fundamental propagation thresholds of the opening and the arms. As a result, the ground state, which in the absence of the field exists at any nonzero $s$, exhibits the energy $E_0$ decrease for the growing $\\mathscr{E}$ and in the high-field regime $E_0$ stays practically the same regardless of the size of the connecting region. It is predicted that the critical window widths $s_{cr_n}$, $n=1,2,\\ldots$, at which new excited localized orbitals emerge, strongly depend on the transverse voltage; in particular, the field leads to the increase of $s_{cr_n}$, and, for quite strong electric intensities, the critical width unrestrictedly diverges. This remarkable feature of the electric-field-induced switching of the bound states can be checked, for example, by the change of the optical properties of the structure when the gate voltage is applied; namely, both the oscillator strength and absorption spectrum exhibit a conspicuous maximum on their $\\mathscr{E}$ dependence and turn to zero when the electric intensity reaches its critical value. Comparative analysis of the two-dimensional (2D) and 3D geometries reveals their qualitative similarity and quantitative differences.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-08-22T15:51:23.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "bound states",
      "window-coupled quantum waveguides",
      "electric-field control",
      "optical spectrum",
      "electric intensity brings closer"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}