{
  "id": "2307.12376",
  "version": "v1",
  "published": "2023-07-23T16:59:11.000Z",
  "updated": "2023-07-23T16:59:11.000Z",
  "title": "Stark many-body localization with long-range interactions",
  "authors": [
    "Xiang-Ping Jiang",
    "Rui Qi",
    "Sheng Yang",
    "Yayun Hu",
    "Guangwen Yang"
  ],
  "categories": [
    "cond-mat.dis-nn"
  ],
  "abstract": "In one-dimensional (1D) disorder-free interacting systems, a sufficiently strong linear potential can induce localization of the many-body eigenstates, a phenomenon dubbed as Stark many-body localization (MBL). In this paper, we investigate the fate of Stark MBL in 1D spinless fermions systems with long-range interactions, specifically focusing on the role of interaction strength. We obtain the Stark MBL phase diagrams by computing the mean gap ratio and many-body inverse participation ratio at half-filling. We show that, for short-range interactions, there is a qualitative symmetry between the limits of weak and strong interactions. However, this symmetry is absent in the case of long-range interactions, where the system is always Stark many-body localized at strong interactions, regardless of the linear potential strength. Furthermore, we study the dynamics of imbalance and entanglement with various initial states using time-dependent variational principle (TDVP) numerical methods. We reveal that the dynamical quantities display a strong dependence on the initial conditions, which suggests that the Hilbert-space fragmentation precludes thermalization. Our results demonstrate the robustness of Stark MBL even in the presence of long-range interactions and offer an avenue to explore MBL in disorder-free systems with long-range interactions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-07-23T16:59:11.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "long-range interactions",
      "stark many-body localization",
      "many-body inverse participation ratio",
      "stark mbl phase diagrams",
      "hilbert-space fragmentation precludes thermalization"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}