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We demonstrate a previously unobserved nonlinear phenomenon in an ultra-lowloss quartz Bulk Acoustic Wave cavity ($Q>3\times10^9$), which only occursbelow 20 milli-Kelvin in temperature and under relatively weak pumping. Thephenomenon reveals the emergence of several stable equilibria (at least twofoci and two nodes) and jumps between these quasi states at random times. Thedegree of this randomness as well as separations between levels can becontrolled by the frequency of the incident carrier signal. It is demonstratedthat the nature of the effect lays beyond the standard Duffing model.

Jump Chaotic Behaviour of Ultra Low Loss Bulk Acoustic Wave Cavities