{
  "id": "1312.4266",
  "version": "v2",
  "published": "2013-12-16T08:32:49.000Z",
  "updated": "2014-05-08T08:25:14.000Z",
  "title": "Interference of Identical Particles from Entanglement to Boson-Sampling",
  "authors": [
    "Malte C. Tichy"
  ],
  "comment": "tutorial/pedagogic review, minor changes, new references, accepted version, 47 pages, 17 figures",
  "journal": "J. Phys. B: At. Mol. Opt. Phys. 47, 103001 (2014)",
  "doi": "10.1088/0953-4075/47/10/103001",
  "categories": [
    "quant-ph"
  ],
  "abstract": "Progress in the reliable preparation, coherent propagation and efficient detection of many-body states has recently brought collective quantum phenomena of many identical particles into the spotlight. This tutorial introduces the physics of many-boson and many-fermion interference required for the description of current experiments and for the understanding of novel approaches to quantum computing. The field is motivated via the two-particle case, for which the uncorrelated, classical dynamics of distinguishable particles is compared to the quantum behaviour of identical bosons and fermions. Bunching of bosons is opposed to anti-bunching of fermions, while both species constitute equivalent sources of bipartite two-level entanglement. The realms of indistinguishable and distinguishable particles are connected by a monotonic transition, on a scale defined by the coherence length of the interfering particles. As we move to larger systems, any attempt to understand many particles via the two-particle paradigm fails: In contrast to two-particle bunching and anti-bunching, the very same signatures can be exhibited by bosons and fermions, and coherent effects dominate over statistical behaviour. The simulation of many-boson interference, termed Boson-Sampling, entails a qualitatively superior computational complexity when compared to fermions. The hierarchy between bosons and fermions also characterises multipartite entanglement generation, for which bosons again clearly outmatch fermions. Finally, the quantum-to-classical transition between many indistinguishable and many distinguishable particles features non-monotonic structures. While the same physical principles govern small and large systems, the deployment of the intrinsic complexity of collective many-body interference makes more particles behave differently.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2014-05-08T08:25:14.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "identical particles",
      "interference",
      "distinguishable particles features non-monotonic structures",
      "species constitute equivalent sources",
      "characterises multipartite entanglement generation"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Journal of Physics B Atomic Molecular Physics",
      "year": 2014,
      "month": "May",
      "volume": 47,
      "number": 10,
      "pages": 103001
    },
    "note": {
      "typesetting": "TeX",
      "pages": 47,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014JPhB...47j3001T"
    }
  }
}