Figure 1

Schematic of the colliding cloud experiment.Reuse & Permissions

Figure 2

Time dependence of the center-of-mass positions ${\overline{z}}_{\sigma }$ of the two spin clouds at unitarity, with the red (upper) and blue (lower) curves denoting the two spin species. We use the upper-branch energy functional (see text), with ${\epsilon }_F^0$ corresponding to $N=7.5\times {10}^5$ atoms, trap anisotropy ${\omega }_{\perp }/{\omega }_z=10$, and damping $\tilde{\gamma }=1$. Initially the two clouds are displaced from the trap center by the axial Thomas-Fermi radius, ${\overline{z}}_{\uparrow }(t=0)=R_z,{\overline{z}}_{\downarrow }(t=0)=-R_z$ with initial axial width $\delta z\left(0\right)=R_z$ equal to its equilibrium value.Reuse & Permissions

Figure 3

Time dependence of the center-of-mass positions ${\overline{z}}_{\sigma }$ of the two spin clouds for $k_F\left(0\right)a_s=2$. The parameters are the same as in Fig. 2.Reuse & Permissions

Figure 4

Time dependence of the center-of-mass positions ${\overline{z}}_{\sigma }$ of the two spin clouds for $k_F\left(0\right)a_s=0.5$. The parameters are the same as in Fig. 2.Reuse & Permissions

Figure 5

The single-particle energy in the upper branch, obtained from lowest-order constraint variational method. The energy is in units of $3/5{\epsilon }_F$. (a) Energy as a function of the polarization $P$ for various values of $k_F{a}_s$ as indicated. (b) Energy as a function of the interaction parameter $k_F{a}_s$ for various values of polarization $P$ as indicated. (c) Phase diagram of the interacting two-component Fermi gases. The two vertical red dashed lines indicates the separation between three phases. For $1/\left(k_F{a}_s\right)>1.124$, the system is in the Fermi liquid (FL) phase. For $1.124>1/\left(k_F{a}_s\right)>0.91$, the system is in the partially polarized phase (PP), and for $1/\left(k_F{a}_s\right)<0.91$, the system is fully polarized (FP).Reuse & Permissions