Prof. Massimo Capone
Conference room Querzoli - LENS - via Nello Carrara 1 - Sesto Fiorentino (Florence)
Published on-line at 05:33:13 PM on Tuesday, March 5th, 2013
Fermions on a lattice: Mott insulators, superfluids and strange quantum liquids
The Dynamical Mean-Field Theory approach to study strongly interacting quantum particles on a lattice.
Simple lattice models have become one of the most popular playgrounds in solid state physics after the discovery of superconductivity in doped Mott insulators, described by the Hubbard model. While the relevance of these model for actual materials can be questioned due to the numerous approximations involved, ultra cold atoms loaded in optical lattices provide us with the opportunity to actually simulated simplified models either to confirm expected result or to explore new quantum states thanks to the possibility to control and tune the model parameters.
In this seminar, we introduce the Dynamical Mean-Field Theory (DMFT), a powerful tool to study strongly interacting quantum particles on a lattice and its application to both basic problems (the Mott transition, the BCS-BEC crossover) and to more exotic situations triggered by mass or population imbalance, where the standard superfluid or Mott state can turn into phases with peculiar properties. We also discuss how DMFT allows also to include the effect of the harmonic trapping potential and of a disordered potential, which opens the way to study a disorder-driven transition from a superfluid to an Anderson insulator.
For further informations, please contact Prof. Massimo Inguscio.
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