Entanglement and extreme spin squeezing.

@article{Srensen2001EntanglementAE,
  title={Entanglement and extreme spin squeezing.},
  author={Anders S S{\o}rensen and Klaus M{\o}lmer},
  journal={Physical review letters},
  year={2001},
  volume={86 20},
  pages={
          4431-4
        }
}
For any mean value of a Cartesian component of a spin vector we identify the smallest possible uncertainty in any of the orthogonal components. The corresponding states are optimal for spectroscopy and atomic clocks. We show that the results for different spin J can be used to identify entanglement and to quantify the depth of entanglement in systems with many particles. With the procedure developed in this Letter, collective spin measurements on an ensemble of particles can be used as an… 

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References

SHOWING 1-10 OF 11 REFERENCES
Phys
  • Rev. A. 47, 5138
  • 1993
Phys
  • Rev. Lett. 85, 1594
  • 2000
Phys
  • Rev. A. 50, 67
  • 1994
Phys
  • Rev. A 49, 4968
  • 1994
Phys
  • Rev. Lett. 83, 2274
  • 1999
Phys
  • Rev. A. 59, 4202
  • 1999
Phys
  • Rev. A 41, 3782
  • 1990
Phys
  • Rev. Lett. 79, 4782
  • 1997
Phys
  • 19, 1391
  • 1978
Phys
  • Rev. Lett. 83, 1319
  • 1999
...
...