English

Statistical signatures of multimode single-photon added and subtracted states of light

Quantum Physics 2017-11-16 v2 Mathematical Physics math.MP Optics

Abstract

The addition or subtraction of a photon from a Gaussian state of light is a versatile and experimentally feasible procedure to create non-Gaussian states. In multimode setups, these states manifest a wide range of phenomena when the photon is added or subtracted in a mode-tunable way. In this contribution, we derive the truncated correlations, which are multimode generalisations of cumulants, between quadratures in different modes as statistical signatures of these states. These correlations are then used to obtain the full multimode Wigner function, the properties of which are subsequently studied. In particular we investigate the effect of impurity in the subtraction or addition process, and evaluate its impact on the negativity of the Wigner function. Finally, we elaborate on the generation of inherent entanglement through subtraction or addition of a photon from a pure squeezed vacuum.

Keywords

Cite

@article{arxiv.1708.08412,
  title  = {Statistical signatures of multimode single-photon added and subtracted states of light},
  author = {Mattia Walschaers and Claude Fabre and Valentina Parigi and Nicolas Treps},
  journal= {arXiv preprint arXiv:1708.08412},
  year   = {2017}
}

Comments

27 pages (incl. appendix), 6 figures