English

New theory of diffusive and coherent nature of optical wave via a quantum walk

Quantum Physics 2017-06-28 v2

Abstract

We propose a new theory on a relation between diffusive and coherent nature in one dimensional wave mechanics based on a quantum walk. It is known that the quantum walk in homogeneous matrices provides the coherent property of wave mechanics. Using the recent result of a localization phenomenon in a one-dimensional quantum walk (Konno, Quantum Inf. Proc. (2010) 9, 405-418), we numerically show that the randomized localized matrices suppress the coherence and give diffusive nature.

Keywords

Cite

@article{arxiv.1610.02393,
  title  = {New theory of diffusive and coherent nature of optical wave via a quantum walk},
  author = {Yusuke Ide and Norio Konno and Shigeki Matsutani and Hideo Mitsuhashi},
  journal= {arXiv preprint arXiv:1610.02393},
  year   = {2017}
}

Comments

17 pages, 14 figures