{
  "id": "1812.11638",
  "version": "v1",
  "published": "2018-12-30T23:48:43.000Z",
  "updated": "2018-12-30T23:48:43.000Z",
  "title": "Thermalization in Solid-State NMR Controlled by Quantum Chaos in Spin Bath",
  "authors": [
    "Walter Hahn",
    "V. V. Dobrovitski"
  ],
  "comment": "8 pages, 6 figures",
  "categories": [
    "quant-ph"
  ],
  "abstract": "We theoretically investigate thermalization and spin diffusion driven by a quantum spin bath for a realistic solid-state NMR experiment. We consider polycrystalline L-alanine, and investigate how the spin polarization spreads among several $^{13}$C nuclear spins, which interact via dipole-dipole coupling with the bath of strongly dipolar-coupled $^1$H nuclear (proton) spins. We do this by using direct numerical simulation of the many-spin time-dependent Schr\\\"odinger equation. We find that, although the proton spins located near the carbon sites interact most strongly with the $^{13}$C spins, this interaction alone is not enough to drive spin diffusion and thermalize the $^{13}$C nuclear spins. We demonstrate that the thermalization within the $^{13}$C subsystem is driven by the collective many-body dynamics of the proton spin bath, and specifically, that the onset of thermalization among the $^{13}$C spins is directly related to the onset of chaotic behavior in the proton spin bath. Therefore, thermalization and spin diffusion within the $^{13}$C subsystem is controlled by the proton spins located far from the C sites. In spite of their weak coupling to the $^{13}$C spins, these far-away protons help produce a network of strongly coupled proton spins with collective dynamics, that drives thermalization.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-12-30T23:48:43.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "thermalization",
      "quantum chaos",
      "spin diffusion",
      "proton spin bath",
      "realistic solid-state nmr experiment"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}