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

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### 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 $${}^1S_0 \to {}^3P_1$$ 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 $$\sim95%$$ in a time of $$\sim 50 \mu$$s.

### Author and article information

###### Journal
2009-05-28
###### Article
10.1103/PhysRevA.80.020701
0905.4556