{
  "id": "1501.03501",
  "version": "v1",
  "published": "2015-01-14T21:00:13.000Z",
  "updated": "2015-01-14T21:00:13.000Z",
  "title": "Theory of phase transitions from quantum glasses to thermal fluids",
  "authors": [
    "Andrew C. Potter",
    "Romain Vasseur",
    "S. A. Parameswaran"
  ],
  "comment": "9 pages + appendices",
  "categories": [
    "cond-mat.dis-nn",
    "cond-mat.mes-hall",
    "cond-mat.str-el"
  ],
  "abstract": "We study the dynamical melting of \"hot\" one-dimensional quantum glasses. We focus on quantum glasses that emerge at strong disorder: specifically, many-body localized systems and their critical variants. The latter category includes disordered Ising, Potts, and anyonic chains whose excited-state properties and dynamics can be accessed via real-space renormalization group methods. As disorder is weakened below a critical value these non-thermal quantum glasses melt via a continuous dynamical phase transition into a classical thermal liquid. By accounting for resonant tunneling of energy, we derive and solve an effective model for such quantum-to-classical transitions and compute their universal critical properties. Notably, the classical thermal liquid exhibits a broad regime of anomalously slow sub-diffusive equilibration dynamics and energy transport, crossing over to ordinary classical diffusion at asymptotically long length scales for critical glasses. The subdiffusive regime is characterized by a continuously evolving dynamical critical exponent that diverges with a universal power at the transition. For non-critical, many-body localized glasses, the crossover scale diverges and subdiffusion persists to the thermodynamic limit. Our approach provides a firm microscopic basis for understanding the generic structure of many-body delocalization transitions in one dimension, and also reveals a general scaling relation among the critical exponents of the transition.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-01-14T21:00:13.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "phase transition",
      "thermal fluids",
      "classical thermal liquid",
      "evolving dynamical critical exponent",
      "non-thermal quantum glasses melt"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150103501P"
    }
  }
}