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The unitary Fermi gas: relations, symmetries, diagrams

Lectures at Les Houches "Ultracold Fermions" predoctoral school, 2018

Lecture notes:
        Lectures 1 and 2        Lecture 3

Video recordings:
        Lecture 1    Lecture 2     Lecture 3

Contents:

   Lecture 1: Relations

• Resonant interactions and the universal zero-range limit
• Tan relations
• A two-channel model

   Lecture 2: Symmetries

• Symmetry properties at the unitary limit and consequences

   Lecture 3: Diagrams

• Feynman diagrams for the lattice model
• Sign problem and sign blessing
• Feynman diagrams for the resonant Fermi gas

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Quantum gases - lectures with exercises and solutions, completing Yvan Castin's lectures
Les Houches Predoctoral School in Statistical Physics, 2007

    Part 1 : Coherence and correlations. Wick's theorem. Ideal gas
    Part 2 : Bogolioubov theory. Non-condensed fraction
    Part 3 : Superfluidity of the 3D Bose gas
    Part 4 : Vortex density in the 2D ideal Bose gas
    Erratum
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High-school level : Educational molecular dynamics simulation applet  by D. Schroeder
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