The main aim of this project is to explore novel emergent phenomena in far from equilibrium quantum systems across different fields of research: from solid-state light-matter systems such as superconducting circuits, semiconductor micro-structures and quantum spins to ultra-cold atomic gases. Such cross-fertilisation between traditionally distinct areas is an essential ingredient in successful approach to understanding far from equilibrium collective processes together with the development of new efficient theoretical tools. EPSRC Physics Grand Challenge Survey has identified that "compared with that of equilibrium states, our understanding of states far from equilibrium is in its infancy" and that "on the theory front, there are significant gaps in knowledge, especially in quantum theory". At the same time the problem is "of considerable scientific and technological importance" and "with unforeseeable potential for applications". We shall study exotic quantum orders, bistabilities, pattern formation and other collective phenomena in state-of-the art light-matter systems. An important aspect of our project is to focus on systems, or their features, which in the longer run could lead to potential device applications: from polariton lasers and LEDs, low threshold optical switches, optical transistors, logic gates and finally polariton integrated circuits to quantum computers. Our theoretical analysis will be linked directly to the experiments of our project partners worldwide.