Although the equations governing quantum systems are elegant and well known, solving these equations to obtain an understanding of how interacting systems behave is incredibly challenging. Of particular interest is the prediction of emergent behaviour in many-body systems - the way in which many particles conspire together to create unexpected and fascinating phenomena such as superconductivity and unconventional phases involving topological order. This project will develop advanced numerical techniques based on understanding quantum information in many-body systems, and apply these techniques to prototypical models and recently developed analogue quantum simulators that allow for direct implementation in a flexible, experimental setting.
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