Quantum Phase Transitions In- and Out-of-Equilibrium in Optical Lattices

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This project aims to contribute to understanding the physics of quantum many-body systems. A complete understanding of phase transitions in strongly interacting quantum many-body systems is a key step towards solving several open problems in modern physics (eg high temperature superconductors). However, they are extremely difficult to study theoretically or in traditional experiments, due to the underlying strong quantum correlations. This project plans to take an alternative approach using ultra-cold helium atoms in an optical lattice to form an analogue quantum simulator. This would provide access to a new experimental observable: many-body correlation functions, which should yield new insights. Understanding such systems more deeply may lead to the development of new quantum technologies based on this science.