Title: Quantum Emulation of Extreme Non-equilibrium Phenomena with Trapped Atoms,
Abstract: Ultracold atomic physics experiments offer a nearly ideal context for the
investigation of quantum systems far from equilibrium. We describe three
related emerging directions of research into extreme non-equilibrium phenomena
in atom traps: quantum emulation of ultrafast atom-light interactions, coherent
phasonic spectroscopy in tunable quasicrystals, and realization of Floquet
matter in strongly-driven lattice systems. We show that all three should enable
quantum emulation in parameter regimes inaccessible in solid-state experiments,
facilitating a complementary approach to open problems in non-equilibrium
condensed matter.