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arXiv · 2004.08534

Three-body F\"orster resonance of a new type in Rydberg atoms

P. Cheinet·K. -L. Pham·P. Pillet·I. I. Beterov·I. N. Ashkarin·D. B. Tretyakov·E. A. Yakshina·V. M. Entin·I. I. Ryabtsev
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Abstract

The three-body F\"orster resonances ${\rm 3}\times nP_{3/2} \to nS_{1/2} +(n+1)S_{1/2} +nP_{3/2}^{*} $ controlled by a dc electric field were realized 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 F\"orster resonance ${\rm 2}\times nP_{3/2} \to 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 $n\le 38$. In this paper we propose and analyze a three-body resonance of a new type ${\rm 3}\times nP_{3/2} \to nS_{1/2} +(n+1)S_{1/2} +nP_{1/2} , $ which can be realized for arbitrary $n$. Its specific feature is also that the third atom transits into a state with a different total angular moment $J=1/2$, 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 oscillation of the populations of collective states, which is of interest for developing new schemes of three-qubit quantum gates controlled by an electric field.

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P. Cheinet, K. -L. Pham, P. Pillet, I. I. Beterov, I. N. Ashkarin, D. B. Tretyakov, E. A. Yakshina, V. M. Entin, I. I. Ryabtsev. 2020-04-18. Three-body F\"orster resonance of a new type in Rydberg atoms. https://doi.org/10.1070/qel17253

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