Creating and Stabilizing Quantum Resource Phases of Interacting Quantum Matter: The Equilibrium and Nonequilibrium Routes

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We propose a program for creating and protecting quantum correlations and coherences responsible for the supremacy of quantum technologies, by identifying their optimal embodiment in many-body states of quantum matter in and out of equilibrium. Our vision is to connect various stable phases of quantum matter, especially the non-equilibrium ones, with perturbatively connected families of resourceful states, and thus tie the stability and creation of those phases with those of the resources. Our concrete formulation is based on physics insights of the symmetry, localization property, and dynamics of many-body systems under coherent external drive. For state creation, we will employ quantum annealing based protocols combined with our understanding of quantum phase transitions between simple phases (e.g., ferromagnetic) and those with useful correlations like long-range entanglement (e.g., spin liquids). The approach promises to evade notorious classical barriers. For example, the “sign problems” in simulating highly frustrated ground states without disorder can be bypassed by our protocol. For protecting delicate quantum states, we propose a novel approach of combining dynamical stability owing to the suppression of many-body chaos by a periodic drive and Many-Body Localization. Our program will facilitate and expedite the advent of quantum technologies which are expected to revolutionize every aspect of human life and society. On the fundamental side, the project will uncover new territories in the field of quantum condensed matter, especially that stabilized out-of-equilibrium. This will initiate new research perspective to the field of theoretical many-body physics, and endow the nascent field of non-equilibrium coherent quantum matter with a direct technological (and hence economic) relevance.