Controlling nuclear spin exchange via optical Feshbach resonances in ${}^{171}$Yb

Abstract

Nuclear spin exchange occurs in ultracold collisions of fermionic alkaline-earth-like atoms due to a difference between s- and p-wave phase shifts. We study the use of an optical Feshbach resonance, excited on the ${}^1{S}_0\to {}^3{P}_1$ intercombination line of ${}^{171}$Yb, to affect a large modification of the s-wave scattering phase shift, and thereby optically mediate nuclear exchange forces. We perform a full multichannel calculation of the photoassociation resonances and wave functions and from these calculate the real and imaginary parts of the scattering length. As a figure of merit of this interaction, we estimate the fidelity to implement a $\sqrt{SWAP}$ entangling quantum logic gate for two atoms trapped in the same well of an optical lattice. For moderate parameters one can achieve a gate fidelity of $\sim 95$ in a time of $\sim 50\mu$s.

5 pages, 1 figure

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• Many-Body Physics with Ultracold Gases
• Theory of ultracold Fermi gases
• Tuning the scattering length with an optically induced Feshbach resonance
• Controlled exchange interaction between pairs of neutral atoms in an optical lattice
• Atomic three-body loss as a dynamical three-body interaction
• Two-color photoassociation spectroscopy of ytterbium atoms and the precise determinations of s-wave scattering lengths
• Controlling a magnetic Feshbach resonance with laser light
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• Alkaline-Earth-Metal Atoms as Few-Qubit Quantum Registers
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• A Mott Insulator of Ultracold Alkaline-Earth-Like Atoms
• Sideband cooling while preserving coherences in the nuclear spin state in group-II-like atoms

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