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We report low temperature, microwave transmission measurements on a newswitchable and tunable class of nonlinear metamaterials. A wireless twodimensional array of Josephson junctions (JJ) is probed as a metamaterial whereeach plaquette in the array is considered as a meta-atom. In the presence ofmicrowaves, this compact metamaterial of 30,000 connected meta-atomssynchronizes the flow of Cooper pairs to yield a single robust resonant signalwith a quality factor of 2800 at the lowest temperature for our measurements.The transmission signal is switched on and off and its amplitude and frequencyare tuned with either temperature, incident rf power or dc magnetic field.Surprisingly, increasing the incident rf power above a threshold causes theresonance to split into multiple discrete resonances that extend over a rangeof 240 MHz for a wide temperature window. We posit that this effect is a newincarnation of the inverse ac Josephson effect where the Josephson plasmafrequency locks to the rf drive frequency generating quantized frequency steps,instead of voltage steps, in the absence of a dc bias.

Wireless Josephson Junction Arrays as Tunable Metamaterials: Inducing Discrete Frequency Steps with Microwave Radiation