Abstract
The thermodynamic properties of Li-6 atomic gas system, with imbalanced spin populations trapped in one-dimension, were systematically investigated using the Static Fluctuation Approximation. The two-body interaction used is an attractive contact potential. The effects of gas parameter 1/(k(F)a(s)) and spin polarization p, on the thermodynamic properties and effective magnetic field were investigated. We observed a decrease in mu and an enhancement in h and U with increasing p. At strong interaction and at T = 0.1TF, the behavior of entropy with p indicated two different phases. At small spin polarization p < 0.3, the system could be in Fulde-Ferrell-Larkin Ovchinnikov (FFLO) state, while above p = 0.3, the system might be in normal state. In addition, we found a clear decrease in both mu and U and an enhancement in h with the increase of the interaction strength. Our results are consistent with the reported results obtained by the mean-field Bogoliubov-de Gennes method, the Bardeen-Cooper-Schrieffer (BCS) approximation and Nozieres-Schmitt-Rink (NSR) theory.