Strong coupling effects on p-wave contacts of a one-component ultracold Fermi gas

In this presentation, we investigate two p-wave contacts C_v and C_R, which are respectively related to the scattering volume v and the effective range R of a p-wave interaction, of a one-component ultracold Fermi gas within the framework of a strong-coupling theory developed by Nozieres and Schmitt-Rink [1]. We show that, as decreasing temperature, while in the strong-coupling regime C_v monotonically increases, in the weak-coupling regime C_v start to decrease at some temperature. We clarify the physical origin of this non-monotonic temperature dependence of C_v in the weak-coupling regime.
By including the effects of a harmonic trap potential within the local-density approximation, we also directory compare our results with recent measurment on ⁴⁰K Fermi gas [2]. Since the p-wave contacts connect microscopic properties with thermodynamic properties of p-wave interacting Fermi gas, our results would be helpful for understanding the strong coupling effects in this system.
[1] P. Nozieres and S. Schmitt-Rink, J. Low Temp. Phys. 59, 195 (1985).
[2] C. Luciuk, S. Trotzky, S. Smale, Z. Yu, S. Zhang, and J. H. Thywissen, Nat. Phys. 12, 599 (2016).