Coherence of the Borromean three-body Förster resonances in Rydberg atoms

Abstract

We have observed recently the Stark-tuned three-body Förster resonances $3\times n{P}_{3/2}(|M|)\to n{S}_{1/2}+(n+1)S_{1/2}+n{P}_{3/2}(|M^{\ast }|)$ at long-range interactions of a few cold Rb Rydberg atoms [D.B.Tretyakov et al., Phys. Rev. Lett. 119, 173402 (2017)]. The three-body resonance appears at a different dc electric field with respect to the ordinary two-body resonance $2\times n{P}_{3/2}(|M|)\to n{S}_{1/2}+(n+1)S_{1/2}$ and corresponds to a transition when the three interacting atoms change their states simultaneously (two atoms go to the $S$ states, and the third atom remains in the $P$ state but changes its moment projection), with the negligible contribution of the two-body resonance to the population transfer. It thus has a Borromean character and represents an effective three-body operator, which can be used to directly control the three-body interactions in quantum simulations and quantum gates implemented with Rydberg atoms. In this paper we theoretically investigate the coherence of such three-body resonances and we show that high-contrast Rabi-like population oscillations are possible for the localized Rydberg atoms in a certain spatial configuration. This paves the way to implementing three-qubit quantum gates and quantum simulations based on three-body Rydberg interactions.

14 pages, 5 figures. arXiv admin note: substantial text overlap with arXiv:1707.01636

References in corpus (13)

• Quasiclassical calculations of BBR-induced depopulation rates and effective lifetimes of Rydberg nS, nP and nD alkali-metal atoms with n < 80
• Three-body forces: From cold atoms to nuclei
• Dipole blockade in a cold Rydberg atomic sample
• Coherent Excitation Transfer in a Spin Chain of Three Rydberg Atoms
• Analysis of imperfections in the coherent optical excitation of single atoms to Rydberg states
• Coherent dipole-dipole coupling between two single atoms at a Förster resonance
• Tutorial: Calculation of Rydberg interaction potentials
• Rydberg-Atom Quantum Simulation and Chern Number Characterization of a Topological Mott Insulator
• Deutsch, Toffoli, and CNOT Gates via Rydberg Blockade of Neutral Atoms
• Fast three-qubit Toffoli quantum gate based on the three-body Förster resonances in Rydberg atoms
• Controlling the interactions of a few cold Rb Rydberg atoms by radiofrequency-assisted Förster resonances
• Observation of the Borromean three-body Förster resonances for three interacting Rb Rydberg atoms
• Stark-tuned Förster resonance and dipole blockade for two to five cold Rydberg atoms: Monte Carlo simulations for various spatial configurations

Cited by in corpus (13)

• A concise review of Rydberg atom based quantum computation and quantum simulation
• Rydberg superatoms: An artificial quantum system for quantum information processing and quantum optics
• Rydberg Macrodimers: Diatomic molecules on the micrometer scale
• Three-body Förster resonance of a new type in Rydberg atoms
• Toffoli gate based on a three-body fine-structure-state-changing Förster resonance in Rydberg atoms
• Two-dimensional spectroscopy of Rydberg gases
• Time dependence of few-body Förster interactions among ultracold Rydberg atoms
• Long-range $CC\Phi$ gates via radio-frequency-induced Förster resonances
• Quantum Many-Body Scars in Few-Body Dipole-Dipole Interactions
• Programming higher-order interactions of Rydberg atoms
• Splitting of the three-body Förster resonance in Rb Rydberg atoms as a measure of dipole-dipole interaction strength
• Coherent excitation of three-atom entangled states near a two-body Förster resonance
• Rydberg atoms for electric field gradiometry