Simulating the solid state with cold atoms: how to get a quantitative phase diagram
speaker: Christopher Hooley (University of St Andrews)abstract: We discuss some of the theoretical issues associated with simulating solid-state physics using cold-atom systems. In particular, we emphasise that the presence of an inhomogeneous trapping potential complicates attempts to extract quantitative information about the phase diagram of the homogeneous system. We present an experimental proposal to circumvent these difficulties, and illustrate it for the case of the one-dimensional Hubbard model, using results of numerical calculations to provide the "data". In this case, we are able to determine the filling corresponding to the metal-insulator transition with about 3 per cent accuracy. Application of our procedure to higher-dimensional cold-atom systems could therefore be used to settle the long-standing question of the phase diagram of the Hubbard model in two and three dimensions.
timetable:
Mon 16 Jul, 9:50 - 10:15, Aula Dini
documents:
Hooley.pdf
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