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We demonstrate a three step laser stabilisation scheme for excitation to nPand nF Rydberg states in 85Rb, with all three lasers stabilised using activefeedback to independent Rb vapour cells. The setup allows stabilisation to theRydberg states 36P3/2 to 70P3/2 and 33F7/2 to 90F7/2, with the only limitingfactor being the available third step laser power. We study the scheme bymonitoring the three laser frequencies simultaneously against a self-referencedoptical frequency comb. The third step laser, locked to the Rydberg transition,displays an Allan deviation of 30 kHz over 1 second and < 80 kHz over 1 hour.The scheme is very robust and affordable, and it would be ideal for carryingout a range of quantum information experiments.

A three step laser stabilisation scheme for excitation to Rydberg levels in 85Rb