Magic-wavelength trapping of alkali-metal Rydberg atoms: The role of landscape polarization modulation

An optical tweezer array for Rb atoms is constructed that provides the same trapping potential for ground and Rydberg levels. We compare the value of the trapping field detuning from the 40s-6p transition frequency required to create such an array with that previously measured in an optical lattice. By doing so we are to determine the modification of the polarizability of a Rydberg state atom that is confined in a spatially varying optical potential. A state-insensitive atom array of this nature should increase the number of Rydberg gate operations that can be carried out within the ground-Rydberg coherence time since the tweezer potentials can remain on at all times.