We construct an optical tweezer array for Rb atoms that provides the same trapping potentials for ground and Rydberg levels. By comparing the value of the trapping field detuning from the $40s\text{−}6p$ transition frequency required to create such an array with that previously measured in an optical lattice [J. Lampen et al., Phys. Rev. A 98, 033411 (2018)], we determine the modification of the polarizability of a Rydberg state atom confined in a spatially varying optical potential, as predicted by Topcu and Derevianko [Phys. Rev. A 88, 043407 (2013)]. A state-insensitive atom array should enable more complex quantum computation by allowing the tweezer potentials to remain on during Rydberg gate operations.

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• Cooling & trapping
• Optical coherence
• Rydberg gases