{
  "id": "1712.09060",
  "version": "v1",
  "published": "2017-12-25T12:20:52.000Z",
  "updated": "2017-12-25T12:20:52.000Z",
  "title": "Coherent states in Magnetic Resonance",
  "authors": [
    "Navin Khaneja"
  ],
  "comment": "17 pages",
  "categories": [
    "quant-ph"
  ],
  "abstract": "In NMR experiments, interaction of quantized radio-frequency (rf) field leads to entanglement of nuclear spin with the electromagnetic field. In an entangled state, the nuclear spins are depolarized with no net magnetization, which cannot give a detectable signal in inductive detection. We show that when the electromagnetic field is in coherent state, inductive detection is just true. We develop the mathematics to study the evolution of a coherent rf-field with a sample of all polarized spins. We show that evolution can be solved in closed form as a separable state of rf-field and spin ensemble, where spin ensemble evolves according to Bloch equations in an rf field. We extend the analysis and results to a spin ensemble with Boltzmann polarization. The rabi frequency and coupling strength of spins to rf-field depends on number state of the rf-field. We show that in interaction with a coherent rf-field, this variation in coupling strength, introduces negligible error.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-12-25T12:20:52.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "coherent state",
      "magnetic resonance",
      "coherent rf-field",
      "electromagnetic field",
      "nuclear spin"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}