{
  "id": "2203.09495",
  "version": "v1",
  "published": "2022-03-17T17:48:51.000Z",
  "updated": "2022-03-17T17:48:51.000Z",
  "title": "Localization and melting of interfaces in the two-dimensional quantum Ising model",
  "authors": [
    "Federico Balducci",
    "Andrea Gambassi",
    "Alessio Lerose",
    "Antonello Scardicchio",
    "Carlo Vanoni"
  ],
  "comment": "8 pages, 3 figures",
  "categories": [
    "cond-mat.stat-mech",
    "quant-ph"
  ],
  "abstract": "We consider the non-equilibrium dynamics of the two-dimensional quantum Ising model in the regime of strong ferromagnetic coupling. We identify large bubbles of polarized spins as a natural basis of states, as it happens in a false-vacuum decay scenario, and study the dynamics of the domain wall delimiting a bubble as an effective one-dimensional quantum-fluctuating interface. We introduce a \"holographic\" mapping from a sufficiently smooth interface onto a chain of fermionic excitations, and show that their Hamiltonian has an emergent integrability. We find that this integrability is broken by interactions between corners of a finite bubble and by corrections due to a large but finite ferromagnetic coupling, and bound from below the timescales after which the interface of a bubble is ultimately expected to melt. Remarkably, we demonstrate that a nonvanishing longitudinal field gives rise to a robust form of ergodicity breaking in the two-dimensional dynamics, a phenomenon underpinned by Stark many-body localization of the emergent fermionic excitations of the interface.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-03-17T17:48:51.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "two-dimensional quantum ising model",
      "stark many-body localization",
      "emergent fermionic excitations",
      "false-vacuum decay scenario",
      "ferromagnetic"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}