BCS to BEC Quantum Phase Transition in Spin Polarized Fermionic Gases

Details BCS to BEC Quantum Phase Transition in Spin Polarized Fermionic Gases BCS to BEC Quantum Phase Transition in Spin Polarized Fermionic Gases

2004-09-14

arxiv.org/abs/cond-mat/0409357v1

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages, 4 figures

Scientific paper

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.

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