Ultracold Quantum Gases

Hui Zhai

Zhihao Lan

Immanuel Bloch, Jean Dalibard, Sylvain Nascimbène

École d'été de physique théorique, Ch Salomon, Gora V. Shlyapnikov +1 more

1. Strongly correlated bosons and fermions in optical lattices 2. Ultracold Atoms in Optical Lattices 3. Few-atom problem 4. Entanglement in many-body quantum systems 5. Quantum Hall States of Ultracold Atomic Gases 6. Theory of dipolar gases 7. Ultracold Polar Molecules 8. Ultra-cold Fermi gases as quantum simulators of condensed matter physics 9. Competing instabilities in quench experiments with ultracold Fermi gases near a Feshbach resonance 10. Anderson localization of ultra-cold atoms in a laser speckle

Maciej Lewenstein, Anna Sanpera, V. Ahufinger

This chapter discusses the physics of ultracold gases in ‘artificial’ magnetic fields. The analogy between electronic systems in the presence of external magnetic fields and ultracold gases in rotating traps leads to the familiar concepts of Landau Levels, the integer Hall effect, the fractional quantum Hall effect, and laughing states for neutral particles. The second part analyses the possibility of simulating Abelian and non Abelian Lattice Gauge theories with ultracold gases. Finally, the state-of-the-art in generating artificial magnetic fields for ultracold gases is reviewed.

Jesús Pérez‐Ríos