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In a neutral atom quantum computer, the qubits are individual neutral atomstrapped in optical tweezers. Excitations to Rydberg states form the basis forthe entanglement procedure that is at the basis of multi-qubit quantum gates.However, these Rydberg atoms are often anti-trapped, leading to decoherence andatom loss. In this work, we give a quantum mechanical description of theanti-trapping loss rates and determine the recapture probability after Rydbergexcitation, distinguishing between having the laser traps turned on and off. Wefind that there is ample time ($\approx$ 30 $\mu$s, in a Strontium-88 system)needed for the wave functions to expand out off the trap. Therefore, even withtraps on, $\approx$ 100% recapture probabilities can be expected for times inwhich significant entanglement operations between atoms can be performed. Wefind that for 2D radial traps with bosonic Strontium-88 atoms, the time inwhich perfect recapture can be achieved, is of the same order of magnitude fortraps on, and off.

Recapture Probability for anti-trapped Rydberg states in optical tweezers