Spin dynamics as a probe of new states and quantum dynamical regimes
Theory established some years ago that spin liquids and other emergent phenomena can appear from simple local interactions between spins or qubits on a periodic lattice, but experimental realizations of some of the most exciting predictions have been challenging to find. This talk discusses how new theoretical and computational methods combine with new materials, including on quantum emulators, in order to give additional insight into these problems. Particular systems that will be discussed are spin chains and two new families of triangular lattice compounds, which for different interactions realize gapped and gapless quantum spin liquid states. Moving away from traditional Mott insulators, we close with some results on how flat bands might enable correlated electron physics.