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We calculate and analyze Feshbach resonance spectra for ultracoldYb($^1$S$_0$) + Yb($^3$P$_2$) collisions as a function of an interatomicpotential scaling factor $\lambda$ and external magnetic field. We show that,at zero field, the resonances are distributed randomly in $\lambda$, but thatsignatures of quantum chaos emerge as a field is applied. The random zero-fielddistribution arises from superposition of structured spectra associated withindividual total angular momenta. In addition, we show that the resonances inmagnetic field in the experimentally accessible range 400 to 2000~G arechaotically distributed, with strong level repulsion that is characteristic ofquantum chaos.

Quantum chaos in ultracold collisions between Yb($^1$S$_0$) and Yb($^3$P$_2$)