Correlated Fermions from Ultra-Cold Atomic Gases to Nuclear Matter

Piotr Magierski

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

José M. Arias, María Isabel Gallardo, Manuel Lozano

Xuguang Yue, Shujuan Liu, Biao Wu +1 more

Ultra-cold atomic gases provide a new chance to study the universal critical behavior of phase transition. We study theoretically the matter wave interference for ultra-cold Bose gases in the critical regime. We demonstrate that the interference in the momentum distribution can be used to extract the correlation in the Bose gas. A simple relation between the interference visibility and the correlation length is found and used to interpret the pioneering experiment about the critical behavior of dilute Bose gases [Science 315 1556 (2007)]. Our theory paves the way to experimentally study various types of ultra-cold atomic gases with the means of matter wave interference.

Yan Li

Pavao Santak

Physicists have been trying to create artificial magnetic systems using ultra-cold atomic gases as their simulators. However, behavior of many ultra-cold atomic systems is not very well understood yet. Ultra-cold fermionic alkaline earth atomic (AEA) gases are one of those systems. In this thesis, we study the effects of thermal fluctuations on the overall macroscopic behavior of ultra-cold fermionic AEA gases using a particular semiclassical model. We study the AEA systems on a square lattice with periodic boundary conditions. To investigate the behavior of AEA systems under the effects of thermal fluctuations, we analyze several different types of correlation functions, which correspond to different physical observables. We analyze the correlation functions using the results obtained from Monte Carlo simulations. We show that for the cases studied, all the correlation functions approach zero as the system size goes to infinity at any temperature, indicating that no phase transition occurs as a consequence of thermal fluctuations.