Entropy required to access the predicted superconducting phases

Determine the entropy per particle corresponding to the calculated critical temperatures and establish whether current ultracold-atom quantum simulators can reach the predicted superconducting phases at those entropies.

Background

For isolated ultracold-atom systems, entropy per particle rather than temperature is the experimentally relevant figure of merit. The paper does not calculate the entropy associated with its predicted critical temperatures, so it remains unresolved whether present quantum simulators can reach the proposed superconducting phases. Thermal matrix-product-state-plus-mean-field calculations using state purification are identified as a possible route to resolving this question.

References

And what entropies per particle $S/N$ do our calculated $T_c$-values actually correspond to, given that $S/N$ is the actual figure of merit that determines which correlated phases can be reached by atomic lattices gases in practice?

— Predicting critical temperature in quantum simulators for high-$T_c$ superconductivity: the matrix product state plus mean field approach  (2608.18861 - Köhler et al., 19 Aug 2026) in Section 4, Discussion