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

• URL: http://arxiv.org/abs/2004.08534v1
• Date: Sat, 18 Apr 2020 05:56:02 GMT
• Title: Three-body F\"orster resonance of a new type in Rydberg atoms
• Authors: 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
• Abstract summary: Three-body F"orster resonances $rm 3times nP_3/2 to nS_1/2 +(n+1)S_1/2 +nP_1/2. New type $rm 3times nP_3/2 to nS_1/2 +(n+1)S_1/2 +nP_1/2.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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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