Simulating Ultracold Bosons and Fermions with Quantum Phase-Space Methods

ARC Centre of Excellence for Quantum-Atom Optics, The University of Queensland.

Wednesday 20^th September 2006, 3.30PM, Lecture Theatre EN101.

Phase-space methods based on coherent-state expansions have been successfully used to simulated a variety of bosonic systems from first principles. Examples include light propagation in nonlinear media and the short-time dynamics of Bose-Einstein condensate formation and four-wave mixing. The extension to general Gaussian bases means that fermionic systems, such as the Hubbard model, can also be simulated. The Hubbard model is the simplest model of interacting Fermions on a lattice. Of importance in solid-state physics, it also provides an accurate model of ultracold fermionic atoms in an optical lattice.

In this talk, I will give an overview of phase-space methods in general, showing particular applications to BEC dynamics and to the Hubbard model.

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