Dynamical Superconductivity in a Frustrated Many-Body System

In triangular lattice structures, the spatial anisotropy can lead to rich equilibrium phase diagrams with regions containing frustrated, highly entangled states of matter. In this work we study the driven two-rung triangular Hubbard model and evolve these states out of equilibrium, observing how this initial frustration leads to an unexpected phase where, despite a lack of bi-partite structure to the underlying lattice, particle-hole SU(2) symmetry is approximately conserved. This conservation dictates the transient dynamics of the system, causing it to relax towards states with uniform off-diagonal order in both the spin-exchange and particle-hole degrees of freedom. We discuss possible implications of our results for a recent experiment on photo-induced superconductivity in ${\rm \kappa - (BEDT-TTF)_{2}Cu[N(CN)_{2}]Br}$ molecules.