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We demonstrate a variety of nonlinear phenomena at extremely low powers incryogenic acoustic cavities fabricated from quartz material, which have notundergone any electrodiffusion processes. Nonlinear phenomena observed includelineshape discontinuities, power response discontinuities, quadratureoscillations and self-induced transparency. These phenomena are attributed tononlinear dissipation through a large number of randomly distributed heavytrapped ions, which would normally be removed by electrodiffusion. A simplemean-field model predicts most of the observed phenomena. In contrast toDuffing-like systems, this system shows an unusual mechanism of nonlinearity,which is not related to crystal anharmonisity.

Anomalously Strong Nonlinearity of Unswept Quartz Acoustic Cavities at Liquid Helium Temperatures