Physics – Condensed Matter – Quantum Gases
Scientific paper
2009-07-13
Annalen Phys.522:615-656,2010
Physics
Condensed Matter
Quantum Gases
30 pages, 13 figures
Scientific paper
10.1002/andp.201010458
The phase transition to superfluidity and the BCS-BEC crossover for an ultracold gas of fermionic atoms is discussed within a functional renormalization group approach. Non-perturbative flow equations, based on an exact renormalization group equation, describe the scale dependence of the flowing or average action. They interpolate continuously from the microphysics at atomic or molecular distance scales to the macroscopic physics at much larger length scales, as given by the interparticle distance, the correlation length, or the size of the experimental probe. We discuss the phase diagram as a function of the scattering length and the temperature and compute the gap, the correlation length and the scattering length for molecules. Close to the critical temperature, we find the expected universal behavior. Our approach allows for a description of the few-body physics (scattering and molecular binding) and the many-body physics within the same formalism.
Diehl Sebastian
Floerchinger Stefan
Gies Holger
Pawlowski Jan M.
Wetterich Christof
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