{
  "annotation_id": "682c16bd-af49-4e60-b7b8-5aaeba0ddb5d",
  "date_created": "2026-03-02T18:01:39.205000Z",
  "date_modified": "2026-03-02T18:01:39.205000Z",
  "file_hash": "d22a3dcdfc64b5789e2cd2ed45b90a6162c0a33c40654489ab8ff8694ebacc3e",
  "private": false,
  "record": {
    "abstract": "We consider a set of operators hat{x}=(hat{x}_1,..., hat{x}_N) with diagonal\nrepresentatives P(n) in the space of generalized coherent states |n\u003e;\nhat{x}=int dn P(n) |n\u003e\u003cn|. We regularize the coherent-state path integral as a\nlimit of a sequence of averages \u003c.\u003e_L over polygonal paths with L vertices\n{n_1...L}. The distribution of the path centroid bar{P}=(1/L)\nsum_{i=1}^{L}P(n_i) tends to the Wigner function W(x), the joint distribution\nfor the operators: W(x)=lim_{L-\u003einfinity} \u003cdelta(x-bar{P})\u003e_{L}. This result is\nproved in the case where the Hamiltonian commutes with hat{x}. The Wigner\nfunction is non-positive if the dominant paths with path centroid in a certain\nregion have Berry phases close to odd multiples of pi. For finite L the path\ncentroid distribution is a Wigner function convolved with a Gaussian of\nvariance inversely proportional to L. The results are illustrated by numerical\ncalculations of the spin Wigner function from SU(2) coherent states. The\nrelevance to the quantum Monte Carlo sign problem is also discussed.",
    "arxiv_id": "quant-ph/0006021",
    "authors": [
      "J H Samson"
    ],
    "categories": [
      "quant-ph",
      "math-ph",
      "math.MP"
    ],
    "doi": "10.1088/0305-4470/33/29/306",
    "title": "Coherent-state path integral calculation of the Wigner function",
    "url": "https://arxiv.org/abs/quant-ph/0006021"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "0ee51b28-90b9-42b3-be71-55526aade5e0",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}