Enchancement of superconductivity in a three-dimensional hotspot model of competing orders in the cuprates

Recent experiments in the cuprates have seen evidence of a transient superconducting state upon optical excitation polarized along the c-axis. Motivated by these experiments we considered a hotspot model of competing superconductivity and bond density order in a system of stacked planes. We generically find an enhancement of superconductivity in the coexistent phase as a function of c-axis coupling strength. Furthermore, we propose a simple Floquet system which takes advantage of this enhancement.