Magic frequencies in atom-light interaction for precision probing of the density matrix.

@article{Givon2013MagicFI,
  title={Magic frequencies in atom-light interaction for precision probing of the density matrix.},
  author={Menachem Givon and Yair Margalit and A. S. Waxman and Tal David and David Groswasser and Yonathan Japha and Ron Folman},
  journal={Physical review letters},
  year={2013},
  volume={111 5},
  pages={
          053004
        }
}
We analyze theoretically and experimentally the existence of a magic frequency for which the absorption of a linearly polarized light beam by a vapor of alkali-metal atoms is independent of the population distribution among the Zeeman sublevels and the angle between the beam and a magnetic field. The phenomenon originates from a peculiar cancellation of the contributions of higher moments of the atomic density matrix, and is described using the Wigner-Eckart theorem and inherent properties of… 
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