When electrons are strongly interacting with one another, the rules of quantum mechanics dictate that they correlate or entangle their motion and spin orientation with each other and in cases of strong entanglement the resulting emergent behaviour cannot be understood in terms of individual electrons acting independently of one another, but is the result of all acting together in unison. Understanding the principles that govern such emergent quantum behaviour is one of the forefront intellectual challenges in physics, such understanding may also lead to development of new technologies based on controlling and manipulating quantum entanglement to achieve new functionality. The overall aim of the current research is to explore experimentally the manifestation and control of emergent properties of quantum materials in the presence of strong correlations and spin-orbit coupling, when the spin and orbital angular momentum of electrons are strongly entangled. This is a largely experimentally unexplored regime where theoretical guidance suggests a fertile ground to potentially discover completely new types of correlated quantum behaviour, ranging from quantum spin liquids, where a local spin flip creates multiple exotic quasiparticles with fractional quantum numbers, to novel forms of magnetic order, with counter-rotating spin spirals or spontaneously formed periodic arrangements of spin vortices, to magnetic quasiparticles with topological properties. Single crystals of spin-orbit dominated quantum materials, with key ingredients to exhibit correlated quantum behaviour, will be synthesized and their magnetic states will be probed using the latest advances in neutron and resonant x-ray scattering that allow unprecedented high-sensitivity mapping of the static and dynamic correlations in space and time (or momentum and energy). The results will be compared with the latest theoretical models of many-body correlated quantum states. This aim is to establish the experimental manifestation and manipulation of magnetic quasiparticles with topological character and help build a systematic understanding of the organizing principles that govern emergent quantum phases of matter in the unexplored regime of strong correlations and spin-orbit entanglement.