Coherent pair driving as a resource for many-body physics

Under adequate conditions, many body quantum systems are known to form macroscopic phases displaying exotic properties. Superfluid zero viscosity or superconducting infinite conductivity still hold the promise for key technological breakthroughs. Such expressions of collective behavior emerge from the complex interplay between quantum processes in the limit of an ever increasing number of degrees of freedom, quickly becoming numerically intractable and setting the stage for the appraising of quantum simulators. As a result, a lot of effort has been devoted to the understanding of the conceptual ingredients underlying emergent physics and an active area of research is concerned with the experimental generation of these phases in controlled environments. Today, modern experimental platforms allow for the implementation of processes not traditionally considered in a many body context. Processes that do not conserve the number of excitations such as coherent pair drivings are the focus of this work. We show how these new ingredients, lead to a novel kind of Bogoliubov inestability, inducing new phases in spatially non extended systems or enriching the phase diagram of already well established models in unexplored ways. Among others, we observe the enhancement of lattice supersolidity in the extended Bose-Hubbard model.