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Strongly correlated bosons and fermions in optical lattices

Abstract

These lectures are an introduction to the physics of strongly correlated fermions and bosons. They are specially targeted for the experimental realizations that have been provided by cold atomic gases in optical lattices.Comment: Lectures presented at the Les Houches summer school 2010: "Many-Body Physics with Ultracold Gases", organized by C. Salomon and G. V. Shlyapniko

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