@article{12065, author = {Lindsay Sonderhouse and Christian Sanner and Ross Hutson and Akihisa Goban and Thomas Bilitewski and Lingfeng Yan and William Milner and Ana Maria Rey and Jun Ye}, title = {Thermodynamics of a deeply degenerate SU(N)-symmetric Fermi gas}, abstract = {Many-body quantum systems can exhibit a striking degree of symmetry unparalleled by their classical counterparts. While in real materials SU(N) symmetry is an idealization, this symmetry is pristinely realized in fully controllable ultracold alkaline-earth atomic gases. Here, we study an SU(N)-symmetric Fermi liquid of 87Sr atoms, where N can be tuned to be as large as 10. In the deeply degenerate regime, we show through precise measurements of density fluctuations and expansion dynamics that the large N of spin states under SU(N) symmetry leads to pronounced interaction effects in a system with a nominally negligible interaction parameter. Accounting for these effects we demonstrate thermometry accurate to one-hundredth of the Fermi energy. We also demonstrate record speed for preparing degenerate Fermi seas, reaching T/TF=0.12 in under 3 s, enabled by the SU(N) symmetric interactions. This, along with the introduction of a new spin polarizing method, enables operation of a 3D optical lattice clock in the band insulating-regime.}, year = {2020}, journal = {Nature Physics}, volume = {16}, chapter = {1216}, pages = {1216}, month = {2020-08}, url = {https://www.nature.com/articles/s41567-020-0986-6}, doi = {10.1038/s41567-020-0986-6}, }