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Asymmetric Ising model, in which coupled spins affect each other differently,plays an important role in diverse fields, from physics to biology toartificial intelligence. We show that coupled parametric oscillators provide awell-controlled and fully characterizable physical system to implement themodel. Such oscillators are bistable. The coupling changes the rate ofinterstate switching of an oscillator depending on the state of otheroscillators. Our experiment on two coupled micromechanical resonators revealsunusual features of asymmetric Ising systems, including the onset of aprobability current that circulates in the stationary state. We relate theasymmetry to the exponentially strong effect of a periodic force on theswitching rates of an individual parametric oscillator, which we measure. Ourfindings open the possibilities of constructing and exploring asymmetric Isingsystems with controlled parameters and connectivity.

Controlled asymmetric Ising model implemented with parametric micromechanical oscillators