  Transmon qubits fabricated with tantalum metal have been shown to possess
energy relaxation times greater than 300 $\mu$s and, as such, present an
attractive platform for high precision, correlated noise studies across
multiple higher energy transitions. Tracking the multi-level fluctuating qudit
frequencies with a precision enabled by the high coherence of the device allows
us to extract the charge offset and quasi-particle dynamics. We observe
qualitatively different charge offset behavior in the tantalum device than
those measured in previous low frequency charge noise studies. In particular,
we find the charge offset dynamics are dominated by rare, discrete jumps
between a finite number of quasi-stationary charge configurations, a previously
unobserved charge noise process in superconducting qubits.
