Measurements in the L\'{e}vy quantum walk

Alejandro Romanelli

doi:10.1103/PhysRevA.76.054306

Measurements in the L\'{e}vy quantum walk

Quantum Physics 2009-11-13 v1

Authors: Alejandro Romanelli

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Abstract

We study the quantum walk subjected to measurements with a L\'evy waiting-time distribution. We find that the system has a sub-ballistic behavior instead of a diffusive one. We obtain an analytical expression for the exponent of the power law of the variance as a function of the characteristic parameter of the L\'evy distribution.

Keywords

quantum walks random walk theory quantum mechanics

Cite

@article{arxiv.0710.1320,
  title  = {Measurements in the L\'{e}vy quantum walk},
  author = {Alejandro Romanelli},
  journal= {arXiv preprint arXiv:0710.1320},
  year   = {2009}
}

Comments

4 pages, 2 figures

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