### Abstract

Several recent experiments have established by measuring the Mandel Q parameter that the number of Rydberg excitations in ultracold gases exhibits sub-Poissonian statistics. This effect is attributed to the Rydberg blockade that occurs due to the strong interatomic interactions between highly-excited atoms. Because of this blockade effect, the system can end up in a state in which all particles are either excited or blocked: a jamming limit. We analyze appropriately constructed random-graph models that capture the blockade effect, and derive formulae for the mean and variance of the number of Rydberg excitations in jamming limits. This yields an explicit relationship between the Mandel Q parameter and the blockade effect, and comparison to measurement data shows strong agreement between theory and experiment.

Original language | English |
---|---|

Publisher | s.n. |

Number of pages | 7 |

Publication status | Published - 2015 |

### Publication series

Name | arXiv |
---|---|

Volume | 1504.02624 [quant-ph] |

## Fingerprint Dive into the research topics of 'Sub-Poissonian statistics of jamming limits in ultracold Rydberg gases'. Together they form a unique fingerprint.

## Cite this

Sanders, J., Jonckheere, M., & Kokkelmans, S. J. J. M. F. (2015).

*Sub-Poissonian statistics of jamming limits in ultracold Rydberg gases*. (arXiv; Vol. 1504.02624 [quant-ph]). s.n.