Observation of Non-Gaussian Statistics and Levy Flights in Nitrogen Vacancy Centers

ORAL

Abstract

A nitrogen-vacancy center can be used as a probe of the interacting $^{\mathrm{13}}$C nuclear spins in a diamond crystal. Under the right conditions, its behavior can be described as a random walk with step sizes drawn from a distribution without a well-defined mean or standard deviation. Its behavior is then described by Levy statistics, providing an opportunity to study Levy statistics in a well understood system.

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Authors

  • David Levonian

    • Harvard Univ

  • Michael Goldman

    • University of Maryland

  • Kristiaan DeGreve

    • Harvard

  • Swati Singh

    • Williams College

  • Daniel Twitchen

    • Element Six Ltd

  • Matthew Markham

    • Element Six Ltd

  • Mikhail Lukin

    • Harvard