{
  "annotation_id": "1286c28a-655c-449f-816a-e9443ea0c512",
  "date_created": "2026-03-02T18:02:37.803000Z",
  "date_modified": "2026-03-02T18:02:37.803000Z",
  "file_hash": "e067fb711ce750f359f66f5de3c17e171279868fd1a96b0e3700e28207c1ed03",
  "private": false,
  "record": {
    "abstract": "A complete set of solutions |z,u,v\u003e_{sa} of the eigenvalue equation\n(ua^2+va^{dagger 2})|z,u,v\u003e = z|z,u,v\u003e ([a,a^{dagger}]=1) are constructed and\ndiscussed. These and only these states minimize the Schr\\\"{o}dinger uncertainty\ninequality for the squared amplitude (s.a.) quadratures. Some general\nproperties of Schr\\\"{o}dinger intelligent states (SIS) |z,u,v\u003e for any two\nobservables X, Y are discussed, the sets of even and odd s.a. SIS |z,u,v;+,-\u003e\nbeing studied in greater detail. The set of s.a. SIS contain all even and odd\ncoherent states (CS) of Dodonov, Malkin and Man\u0027ko, the Perelomov SU(1,1) CS\nand the squeezed Hermite polynomial states of Bergou, Hillery and Yu. The even\nand odd SIS can exhibit very strong both linear and quadratic squeezing (even\nsimultaneously) and super- and subpoissonian statistics as well. A simple\nsufficient condition for superpoissonian statistics is obtained and the\ndiagonalization of the amplitude and s.a. uncertainty matrices in any pure or\nmixed state by linear canonical transformations is proven.",
    "arxiv_id": "quant-ph/9609017",
    "authors": [
      "D. A. Trifonov"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Schr\\\"{o}dinger Intelligent States and Linear and Quadratic Amplitude   Squeezing",
    "url": "https://arxiv.org/abs/quant-ph/9609017"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "47da37fc-9e33-44d1-bf42-6736db7c6039",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}