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We report magneto-acoustic quantum oscillations (MAQO) in the heavy fermionsystem UPt$_3$ in magnetic fields B, upto 33 T. For B in the ab-plane of thehexagonal crystal MAQO in the sound velocity commence at $\approx$ 12 T andgrow with field. However, in contrast to typical Lifshitz-Kosevich behaviourthe frequency corresponding to the dominant oscillation increases continuouslyas the metamagnetic transition (MMT) at 20 T is reached. This dominant MAQOarises from the $\delta$ orbit of band 1 with a large effective mass of 33m$_e$, for B $<$ 20 T and disappears after the MMT. Thus, the MMT involves asignificant change of the Fermi surface, primarily in band 1. For B $\parallel$ab-plane and $<$ 20 T we reproduce successfully orbits established throughprevious de Haas-van Alphen and Shubnikov de Haas measurements. We also observeseveral new orbits, some that can be identified with existing band theory andothers not seen previously with completely new frequencies. For B $\parallel$c-axis we observe MAQOs which also commence at $\approx$ 12 T and growgradually but break suddenly into a large amplitude and change in frequency at24.8 T. These enhanced oscillations get weaker again at 30 T. These abruptchanges at 24.8 T and 30 T are signatures of Lifshitz transitions and coincidewith the newly discovered spin density wave states for this orientationreported by us recently.

Magneto Acoustic Quantum Oscillations in High Fields and the Fermi Surface of UPt$_3$