Erratum: Frictionless Flow in a Binary Polariton Superfluid [Phys. Rev. Lett. 108, 065301 (2012)]

Figure 1

Two-dimensional contour plots of the space profiles for the two fluids $|{\psi }_{{1,2}_C}(\mathbf{r}){|}^2$ [arbitrary units] (grey maps) and the associated excitation spectra $\Re [{\omega }_{\mathrm{LP}}(\mathbf{k})]$ [meV]. The two laser pumps are shined in the $x$ direction at momenta $k_1=0.9\mu {\mathrm{m}}^{-1}$ and $k_2=0.4\mu {\mathrm{m}}^{-1}$ (columns I–IV) and at momenta $k_1=0.6\mu {\mathrm{m}}^{-1}$ and $k_2=0.1\mu {\mathrm{m}}^{-1}$ (columns V–VIII); in all cases the laser energies are blue detuned by 0.2 meV above the bare LP branch and lifetimes fixed at ${\kappa }_C={\kappa }_X=0.1\mathrm{meV}$. Columns I, III, V, and VII correspond to the case where fluid 1 [thin (red) lines] is uncoupled from fluid 2 [thick (blue) lines], while columns II, IV, VI, and VIII describe the coupled cases. The densities of the two components have been fixed to $g_X|{\psi }_{1_X}{|}^2=0.55\mathrm{meV}$ and $g_X|{\psi }_{2_X}{|}^2=0.65\mathrm{meV}$ (columns I and II), to $g_X|{\psi }_{1_X}{|}^2=0.55\mathrm{meV}$ and $g_X|{\psi }_{2_X}{|}^2=1.4\mathrm{meV}$ (III and IV), to $g_X|{\psi }_{1_X}{|}^2=0.36\mathrm{meV}$ and $g_X|{\psi }_{2_X}{|}^2=0.45\mathrm{meV}$ (V and VI), and to $g_X|{\psi }_{1_X}{|}^2=0.36\mathrm{meV}$ and $g_X|{\psi }_{2_X}{|}^2=1.0\mathrm{meV}$ (VII and VIII).

Figure 2

Phase diagram showing the supersonic [SP (red)] and subsonic [SB (blue)] regions for the two fluids as a function of the rescaled pump intensities $\sqrt{g_X}{F}_{1,2}$ [${\mathrm{meV}}^{3/2}$]. Here, the two lasers pump at an energy 0.20 meV blue detuned from the bare LP branch and lifetimes are fixed to ${\kappa }_X={\kappa }_C=0.1\mathrm{meV}$. In panel I, the lasers’ momenta are $k_1=0.6\mu {\mathrm{m}}^{-1}$ and $k_2=0.1\mu {\mathrm{m}}^{-1}$, while in panels II and III $k_1=0.6\mu {\mathrm{m}}^{-1}$ is fixed and $k_2=0.2\mu {\mathrm{m}}^{-1}$ and $k_2=0.4\mu {\mathrm{m}}^{-1}$, respectively.