{
  "annotation_id": "1e0e7a5a-31cf-4ebd-98fb-a434f2f7f591",
  "date_created": "2026-03-02T18:01:49.503000Z",
  "date_modified": "2026-03-02T18:01:49.503000Z",
  "file_hash": "d6b99e10637c320421d56f3f0ffa5130224464f46ac33d389ae67c7d755304d4",
  "private": false,
  "record": {
    "abstract": "We present variational theory for optimal control over a finite time interval\nin quantum systems with relaxation. The corresponding Euler-Lagrange equations\ndetermining the optimal control field are derived. In our theory the optimal\ncontrol field fulfills a high order differential equation, which we solve\nanalytically for some limiting cases. We determine quantitatively how\nrelaxation effects limit the control of the system. The theory is applied to\nopen two level quantum systems. An approximate analytical solution for the\nlevel occupations in terms of the applied fields is presented. Different other\napplications are discussed.",
    "arxiv_id": "quant-ph/0203123",
    "authors": [
      "Ilia Grigorenko",
      "Martin E. Garcia",
      "K. H. Bennemann"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevLett.89.233003",
    "title": "Theory for the optimal control of time-averaged quantities in open   quantum systems",
    "url": "https://arxiv.org/abs/quant-ph/0203123"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "406a6948-57ef-4750-bddc-16b3d869582c",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}