Exotic superfluid states of ultra-cold Fermi gases

摘要: This is a study of ultra-cold Fermi gases in different systems. thesis focused on exotic superfluid states, for an example the three component gas and FFLO phase optical lattices. In two-components case, superfluidity studied mainly case spin population imbalanced diagrams are calculated from mean-field theory. Different methods to detect phases lattices suggested. three-component we also uniform harmonically trapped system. this BCS theory generalized gases. It discussed how achieve conditions get SU(3)-symmetric Hamiltonian The divided chapters as follows: Chapter 1 introduction field cold quantum chapter 2 their experimental characteristics discussed. 3 deals with paired states 4 without harmonic trap explored, pairing mechanisms studied. chapter, discuss 5 devoted higher order correlations, what they can tell about states. 6 concludes thesis.