%0 Journal Article
%T BCS to BEC Quantum Phase Transition in Spin Polarized Fermionic Gases
%A S. S. Botelho
%A C. A. R. S¨¢ de Melo
%J Physics
%D 2004
%I arXiv
%X We discuss the possibility of a quantum phase transition in ultracold spin polarized fermionic gases which exhibit a p-wave Feshbach resonace. We show that when fermionic atoms form a condensate that can be externally tuned between the BCS and BEC limits, the zero temperature compressibility and the spin susceptibility of the fermionic gas are non-analytic functions of the two-body bound state energy. This non-analyticity is due to a massive rearrangement of the momentum distribution in the ground state of the system. Furthermore, we show that the low temperature superfluid density is also non-analytic, and exibits a dramatic change in behavior when the critical value of the bound state energy is crossed.
%U http://arxiv.org/abs/cond-mat/0409357v1