Engineering Dynamical Phase Diagrams with Driven Lattices in Spinor Gases

We experimentally demonstrate that well-designed driven optical lattices can enable the exploration of highly-controllable non-equilibrium dynamics in spinor gases in previously inaccessible parameter regimes. Specifically, experimental signatures in our observations demonstrate that driven lattices can simultaneously independently determine the effective spin-dependent interactions, spinor phase, and quadradic Zeeman energy of spinor gases with negligible heating and atom losses compared to conventional techniques. Modulation-induced higher harmonics additionally generate progressively narrower separatrices at driving-frequency determined higher quadradic Zeeman energies. We understand these observations with calculations based on a dynamical single spatial mode approximation and find qualitative agreement with our data. Our findings expand the working range of cold atoms for applications in quantum sensing and engineered Hamiltonians.