{
  "id": "2308.04495",
  "version": "v1",
  "published": "2023-08-08T18:02:23.000Z",
  "updated": "2023-08-08T18:02:23.000Z",
  "title": "Phase transitions and bunching of correlated particles in a non-Hermitian quasicrystal",
  "authors": [
    "Stefano Longhi"
  ],
  "comment": "Editors' Suggestion",
  "journal": "Phys. Rev. B 108, 075121 (2023)",
  "doi": "10.1103/PhysRevB.108.075121",
  "categories": [
    "quant-ph",
    "cond-mat.str-el",
    "physics.optics"
  ],
  "abstract": "Non-interacting particles in non-Hermitian quasi crystals display localization-delocalization and spectral phase transitions in complex energy plane, that can be characterized by point-gap topology. Here we investigate the spectral and dynamical features of two interacting particles in a non-Hermitian quasi crystal, described by an effective Hubbard model in an incommensurate sinusoidal potential with a complex phase, and unravel some intriguing effects without any Hermitian counterpart. Owing to the effective decrease of correlated hopping introduced by particle interaction, doublon states, i.e. bound particle states, display a much lower threshold for spectral and localization-delocalization transitions than single-particle states, leading to the emergence of mobility edges. Remarkably, since doublons display longer lifetimes, two particles initially placed in distant sites tend to bunch and stick together, forming a doublon state in the long time limit of evolution, a phenomenon that can be dubbed {\\em non-Hermitian particle bunching}.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-08-08T18:02:23.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "phase transitions",
      "non-hermitian quasicrystal",
      "correlated particles",
      "non-hermitian quasi crystals display localization-delocalization",
      "doublon state"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. B"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}