{
  "id": "2301.07370",
  "version": "v1",
  "published": "2023-01-18T08:36:03.000Z",
  "updated": "2023-01-18T08:36:03.000Z",
  "title": "Phase transitions of wave packet dynamics in disordered non-Hermitian systems",
  "authors": [
    "Helene Spring",
    "Viktor Könye",
    "Fabian A. Gerritsma",
    "Ion Cosma Fulga",
    "Anton R. Akhmerov"
  ],
  "categories": [
    "cond-mat.mes-hall",
    "cond-mat.dis-nn"
  ],
  "abstract": "Disorder can localize the eigenstates of one-dimensional non-Hermitian systems, leading to an Anderson transition with a critical exponent of 1. We show that, due to the lack of energy conservation, the dynamics of individual, real-space wave packets follows a different behavior. Both transitions between localization and unidirectional amplification, as well as transitions between distinct propagating phases become possible. The critical exponent of the transition equals $1/2$ in propagating-propagating transitions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-01-18T08:36:03.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "wave packet dynamics",
      "disordered non-hermitian systems",
      "phase transitions",
      "critical exponent",
      "real-space wave packets"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}