## Abstract

The three-body Förster resonances 3 nP_{3/2}(|M|) →nS_{1/2} + (n + 1)S_{1/2} + nP_{3/2}(|M∗|), controlled by a constant electric field, were realised earlier by the authors in an ensemble of several cold Rydberg Rb atoms. One of the drawbacks of such resonances for potential application in three-qubit quantum gates is the proximity of the two-body Förster resonance 2 nP_{3/2} → nS_{1/2} + (n + 1)S_{1/2}, as well as the possibility of their implementation only for states with values of the principal quantum numbers n 38. A three-body resonance of a new type, 3 nP_{3/2} → nS_{1/2} + (n + 1)S_{1/2} + nP_{1/2}, which can be realised for arbitrary n, is proposed and analysed. Its specific feature is also that the third atom transits into a state with a different total angular momentum J = 1/2, which has no Stark structure, so that the two-body resonance is completely absent. Numerical calculations showed that for not too strong interaction, it is possible to observe coherent three-body oscillations of the populations of collective states, which is of interest for developing new schemes of three-qubit quantum gates controlled by an electric field.

Original language | English |
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Pages (from-to) | 213-219 |

Number of pages | 7 |

Journal | Quantum Electronics |

Volume | 50 |

Issue number | 3 |

DOIs | |

Publication status | Published - 1 Mar 2020 |

## Keywords

- Rydberg atoms
- interaction
- Forster resonance