{
  "id": "2003.04906",
  "version": "v1",
  "published": "2020-03-10T18:00:46.000Z",
  "updated": "2020-03-10T18:00:46.000Z",
  "title": "Multi-dimensional super- and subradiance in waveguide quantum electrodynamics",
  "authors": [
    "Fatih Dinc",
    "Lauren E. Hayward",
    "Agata M. Brańczyk"
  ],
  "categories": [
    "quant-ph"
  ],
  "abstract": "We study the collective decay rates of multi-dimensional quantum networks in which one-dimensional waveguides form an intersecting hyper-rectangular lattice, with qubits located at the lattice points. We introduce and motivate the \\emph{dimensional reduction of poles} (DRoP) conjecture, which identifies all collective decay rates of such networks via a connection to waveguides with a one-dimensional topology (e.g. a linear chain of qubits). Using DRoP, we consider many-body effects such as superradiance, subradiance, and bound-states in continuum in multi-dimensional quantum networks. We find that, unlike one-dimensional linear chains, multi-dimensional quantum networks have superradiance in distinct levels, which we call multi-dimensional superradiance. Furthermore, we generalize the $N^{-3}$ scaling of subradiance in a linear chain to $d$-dimensional networks. This work represents the first systematic study of collective behavior in waveguide quantum electrodynamics beyond one-dimensional topologies.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-03-10T18:00:46.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "waveguide quantum electrodynamics",
      "multi-dimensional quantum networks",
      "subradiance",
      "collective decay rates",
      "one-dimensional topology"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}