Strongly correlated phenomena with ultracold atomic gases.

摘要

In this thesis we investigate strongly correlated phenomena in the field of ultracold atomic gases. Chapter 2 addresses a question of the insulating phases of cold spin-one bosonic particles with antiferromagnetic interactions, such as 23Na, in optical lattices. Magnetic properties of the ground state in the insulating regime are studied using various techniques. Chapter 3 considers a one dimensional interacting Bose-Fermi mixture with equal masses of bosons and fermions, and with equal repulsive interactions between Bose-Fermi and Bose-Bose particles. Properties of such mixture are studied using exact Bethe-ansatz techniques. Chapter 4 deals with certain phenomena which appear in the experiments with imbalanced fermionic mixtures in strongly anisotropic traps. Chapter 5 gives a comprehensive review of interference phenomena, analyzing effects which contribute to the reduction of the interference fringe contrast in matter interferometers.