{
  "annotation_id": "8e45282a-4a05-435b-b32f-5605901af810",
  "date_created": "2026-03-02T18:02:19.479000Z",
  "date_modified": "2026-03-02T18:02:19.479000Z",
  "file_hash": "7df75ef1ce2076c07d899201cdf7786cf5a601ebc401551218eed0cfd33497c0",
  "private": false,
  "record": {
    "abstract": "Assuming that the effect of the residual interaction beyond mean-field is\nweak and has a short memory time, two approximate treatments of correlation in\nfermionic systems by means of Markovian quantum jump are presented. A\nsimplified scenario for the introduction of fluctuations beyond mean-field is\nfirst presented. In this theory, part of the quantum correlations between the\nresidual interaction and the one-body density matrix are neglected and jumps\noccur between many-body densities formed of pairs of states $D=| \\Phi_a \u003e \u003c\n\\Phi_b |/\u003c \\Phi_b . |\\Phi_a \u003e$ where $| \\Phi_a \u003e$ and $| \\Phi_b \u003e$ are\nantisymmetrized products of single-particle states. The underlying Stochastic\nMean-Field (SMF) theory is discussed and applied to the monopole vibration of a\nspherical $^{40}$Ca nucleus under the influence of a statistical ensemble of\ntwo-body contact interaction. This framework is however too simplistic to\naccount for both fluctuation and dissipation. In the second part of this work,\nan alternative quantum jump method is obtained without making the approximation\non quantum correlations. Restricting to two particles-two holes residual\ninteraction, the evolution of the one-body density matrix of a correlated\nsystem is transformed into a Lindblad equation. The associated dissipative\ndynamics can be simulated by quantum jumps between densities written as $D = |\n\\Phi \u003e\u003c \\Phi |$ where $| \\Phi \u003e$ is a normalized Slater determinant. The\nassociated stochastic Schroedinger equation for single-particle wave-functions\nis given.",
    "arxiv_id": "quant-ph/0509038",
    "authors": [
      "Denis Lacroix"
    ],
    "categories": [
      "quant-ph",
      "cond-mat.str-el",
      "nucl-th"
    ],
    "doi": "10.1103/PhysRevC.73.044311",
    "journal_ref": "Phys.Rev. C73 (2006) 044311",
    "title": "Stochastic mean-field dynamics for fermions in the weak coupling limit",
    "url": "https://arxiv.org/abs/quant-ph/0509038"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "f4f69d4e-b698-4259-bc39-894076c800f8",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}