arXiv:2303.08783 · Physical Review A
Recapture probability for antitrapped Rydberg states in optical tweezers
Robert de Keijzer, Oliver T.C. Tse, S. J. J. M. F. Kokkelmans
Abstract
In a neutral-atom quantum computer, the qubits are individual neutral atoms trapped in optical tweezers. Excitations to Rydberg states form the basis for the entanglement procedure that is at the basis of multiqubit quantum gates. However, these Rydberg atoms are often antitrapped, leading to decoherence and atom loss. In this work, we give a quantum-mechanical description of the antitrapping loss rates and determine the recapture probability after Rydberg excitation, distinguishing between having the laser traps turned on and off. We find that ample time ($\ensuremath{\approx}30\phantom{\rule{0.16em}{0ex}}\mathrm{\textmu{}}\mathrm{s}$, in a $^{88}\mathrm{Sr}$ system) is needed for the wave functions to expand out of the trap. Therefore, even with traps on, $\ensuremath{\approx}100$% recapture probabilities can be expected for times in which significant entanglement operations between atoms can be performed. We find that for two-dimensional radial traps with bosonic $^{88}\mathrm{Sr}$ atoms, the time in which perfect recapture can be achieved is of the same order of magnitude for traps turned on and off.