Speed Limit of Efficient Cavity-Mediated Adiabatic Transfer

accepted February published Cavity-mediated adiabatic transfer (CMAT) is a robust way to perform a two-qubit gate between trapped atoms inside an optical cavity. In a previous study by Goto and Ichimura [H. Goto and K. Ichimura, Phys. Rev. A 77, 013816 (2008).], the upper bound of success probability of CMAT was shown where the operation is adiabatically slow. For practical applications, however, it is crucial to operate CMAT as fast as possible without sacrificing the success probability. In this paper, we investigate the operational speed limit of CMAT conditioned on the success probability being close to the upper bound. In CMAT both the adiabatic condition and the decay of atoms and cavity modes limit the operational speed. We show which of these two conditions more severely limits the operational speed in each cavityQED parameter region, and find that the maximal operational speed, which is proportional to yp , is achieved when the ffiffiffi C influence of cavity decay is dominant compared to spontaneous emission, where gamma and C are spontaneous emission rate and cooperativity, respectively.