Evidence for Bosonization in a three-dimensional gas of SU($N$) fermions

A multi-component Fermi gas with SU($N$) symmetry is expected to behave like spinless bosons when the number of internal states $N$ becomes large weakening constraints from the Pauli exclusion principle. In this poster, we report direct evidence for bosonization by the measurement of contacts in a three-dimensional (3D) SU($N$) fermionic gas of $^{173}$Yb with tunable $N$. Imaging the column integrated momentum distribution with a high signal-to-noise ratio, we find that the contact per spin approaches a constant with a $1/N$ scaling in the low fugacity regime. This scaling reveals the vanishing role of the fermionic statistics in thermodynamics, and unfolds the intriguing nature of bosonization in 3D SU($N$) fermions. In addition, we will discuss complementary characterization of SU($N$) fermions including the collective modes and the machine learning aided study of a three-dimensional gas of SU($N$), which could be alternative route to reveal bosonization.