Functional Integral for Ultracold Fermionic Atoms

Details Functional Integral for Ultracold Fermionic Atoms Functional Integral for Ultracold Fermionic Atoms

2005-10-15

arxiv.org/abs/cond-mat/0510407v2

Nucl.Phys.B770:206-272,2007

Physics

Condensed Matter

Superconductivity

39 pages, 11 figures

Scientific paper

10.1016/j.nuclphysb.2007.02.026

We develop a functional integral formalism for ultracold gases of fermionic atoms. It describes the BEC - BCS crossover and involves both atom and molecule fields. Beyond mean field theory we include the fluctuations of the molecule field by the solution of gap equations. In the BEC limit, we find that the low temperature behavior is described by a Bogoliubov theory for bosons. For a narrow Feshbach resonance these bosons can be associated with microscopic molecules. In contrast, for a broad resonance the interaction between the atoms is approximately pointlike and microscopic molecules are irrelevant. The bosons represent now correlated atom pairs or composite ``dressed molecules''. The low temperature results agree with quantum Monte Carlo simulations. Our formalism can treat with general inhomogeneous situations in a trap. For not too strong inhomogeneities the detailed properties of the trap are not needed for the computation of the fluctuation effects - they enter only in the solutions of the field equations.

Affiliated with

Also associated with

No associations

Rating

Functional Integral for Ultracold Fermionic Atoms does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Functional Integral for Ultracold Fermionic Atoms, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Functional Integral for Ultracold Fermionic Atoms will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-688512