Our twin overarching goals are to characterize the universal structure of non-equilibrium steady states and to understand the dynamics of quantum many-body systems, especially as they relate to quantum computation.
The aim is to organize non-equilibrium quantum matter systematically, moving beyond a zoology of isolated models toward the predictive discovery of intrinsically dynamical phenomena. This is not a minor extension of equilibrium frameworks: non-equilibrium systems exhibit qualitatively new structure, including intrinsically mixed-state phases, measurement-induced transitions, dynamical codes, and fault-tolerant logic gates. Making progress means extending and synthesizing tools usually developed in parallel by separate communities, across the interfaces between rigorous mathematics, many-body physics, quantum information, field theory, and large-scale computation.
