Can cold-atom Hubbard simulators observe d-wave pairing correlations?

Two-dimensional square-lattice Fermi-Hubbard model, $U/t = 6\ \text{to}\ 8$, hole doping $\delta = 0.1\ \text{to}\ 0.2$, nearest-neighbour hopping $t$ and optional next-nearest hopping t'. Measure the d-wave pair correlation $P_d(r) = \langle \Delta_d^{\mathrm{dag}}(r) \Delta_d(0)\rangle$, with $\Delta_d(r)$ the d-wave singlet pair operator on the four bonds of site r, by quantum gas microscopy or pair-transport protocols at the lowest achievable $T/t$. True long-range order is excluded at $T > 0$ in 2D, so the answer is whether $P_d(r)$ decays algebraically below a Kosterlitz-Thouless temperature $T_{\mathrm{KT}}$, or at least has a correlation length above 10 lattice sites, together with the temperature and entropy at which this appears.

A microscope measurement of d-wave pair correlations extending over many sites in a doped, homogeneous Hubbard sample, cross-checked against independent thermometry.