{
  "id": "1401.3108",
  "version": "v1",
  "published": "2014-01-14T09:21:06.000Z",
  "updated": "2014-01-14T09:21:06.000Z",
  "title": "Complete particle-pair annihilation as a dynamical signature of the spectral singularity",
  "authors": [
    "G. R. Li",
    "X. Z. Zhang",
    "Z. Song"
  ],
  "comment": "8 pages, 2 figures",
  "categories": [
    "quant-ph"
  ],
  "abstract": "Motivated by the physical relevance of a spectral singularity of interacting many-particle system, we explore the dynamics of two bosons as well as fermions in one-dimensional system with imaginary delta interaction strength. Based on the exact solution, it shows that the two-particle collision leads to amplitude-reduction of the wave function. For fermion pair, the amplitude-reduction depends on the spin configuration of two particles. In both cases, the residual amplitude can vanish when the relative group velocity of two single-particle Gaussian wave packets with equal width reaches the magnitude of the interaction strength, exhibiting complete particle-pair annihilation at the spectral singularity.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-01-14T09:21:06.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "spectral singularity",
      "dynamical signature",
      "single-particle gaussian wave packets",
      "imaginary delta interaction strength",
      "exhibiting complete particle-pair annihilation"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1016/j.aop.2014.06.022",
      "journal": "Annals of Physics",
      "year": 2014,
      "month": "Oct",
      "volume": 349,
      "pages": 288
    },
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014AnPhy.349..288L",
      "inspire": 1365181
    }
  }
}