Developing accurate simulations of quantum mechanical systems unavoidably involves taking into account coupling to the outside world. Understanding and predicting the behaviour of these open quantum systems provides a formidable theoretical challenge. Yet, such modelling is important for wide range of physical systems, whose quantum properties are now routinely measured in the lab. These include arrays of superconducting qubits, cold atoms, defect centers in diamond and semiconductor heterostructures. They provide us with carefully controlled devices, made to emulate the behaviour of particular quantum mechanical models, giving us a way to test our best theories. Our research focuses on developing novel numerical and analytical techniques to simulate these systems and discover what new physics is possible by harnessing the non-equilibrium effects inherent in these models.

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