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Cooling an Optically Trapped Ultracold Fermi Gas by Periodical Driving
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Sub-Poissonian Statistics of Jamming Limits in Ultracold Rydberg Gases.

Jaron Sanders1, Matthieu Jonckheere2, Servaas Kokkelmans1

  • 1Eindhoven University of Technology, P.O. Box 513, 5600MB Eindhoven, Netherlands.

Physical Review Letters
|August 8, 2015
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Ultracold gases show sub-Poissonian statistics for Rydberg excitations due to Rydberg blockade. Random-graph models explain this jamming limit, linking the Mandel Q parameter to blockade effects with experimental agreement.

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Area of Science:

  • Atomic physics
  • Quantum optics
  • Statistical mechanics

Background:

  • Recent experiments show sub-Poissonian statistics for Rydberg excitations in ultracold gases.
  • This phenomenon is linked to the Rydberg blockade, caused by strong interatomic interactions in highly excited atoms.

Purpose of the Study:

  • To analyze random-graph models that simulate the Rydberg blockade effect.
  • To derive formulas for the mean and variance of Rydberg excitations in jamming limits.
  • To establish an explicit relationship between the Mandel Q parameter and the Rydberg blockade.

Main Methods:

  • Construction and analysis of random-graph models.
  • Derivation of statistical formulas for Rydberg excitation distributions.
  • Comparison of theoretical predictions with experimental data.

Main Results:

  • The study establishes a theoretical framework for understanding Rydberg excitation statistics in jamming limits.
  • Formulas for the mean and variance of Rydberg excitations were derived, explicitly relating the Mandel Q parameter to the blockade effect.
  • Strong agreement was found between theoretical models and experimental measurements.

Conclusions:

  • The developed random-graph models accurately capture the Rydberg blockade phenomenon.
  • The findings provide a quantitative link between the Mandel Q parameter and interatomic interactions in ultracold Rydberg gases.
  • The study validates theoretical predictions against experimental observations, enhancing the understanding of quantum statistical properties.