Vortices in a rotating Fermi gas within the finite temperature effective field theory

May 18, 2016, 2:45 PM
8h 15m



Serghei KLIMIN (TQC, Universiteit Antwerpen)


Vortices and vortex arrays in superfluid atomic Fermi gases in the BCS-BEC crossover are investigated within the finite temperature effective field theory (EFT) [1-4] for a macroscopic wave function representing the field of condensed pairs, analogous to the Ginzburg-Landau theory for superconductors. Here, we have established how rotation modifies this effective field theory, by rederiving it starting from the action of Fermi gas in the rotating frame of reference. The rotation vector potential is renormalized within the EFT due to a renormalization of the pair effective mass. The latter one appears to be in agreement with results of the functional renormalization group theory. In the extreme BEC regime, the pair effective mass tends to twice the fermion mass, being in line with the physical picture of a weakly interacting Bose gas of molecular pairs. We use our macroscopic wave function description to study vortices and the critical rotation frequencies to form them. Phase diagrams for vortex states are derived. They are in good agreement with available results of the Bogoliubov - De Gennes theory and with experimental data.

This research was supported by the Flemish Research Foundation (FWO-Vl), project nrs. G.0115.12N, G.0119.12N, G.0122.12N, G.0429.15N, by the Scientific Research Network of the Research Foundation-Flanders, WO.033.09N, and by the Research Fund of the University of Antwerp.


S. N. Klimin, J. Tempere G. Lombardi, and J. T. Devreese, Eur. Phys. Journal B 88, 122 (2015); arXiv:1309.1421.
S. N. Klimin, J. Tempere, and J. T. Devreese, Physica C 503, 136 (2014).
S. N. Klimin, J. Tempere and J. T. Devreese, Phys. Rev. A 90, 053613 (2014).
G. Lombardi, W. Van Alphen, S. N. Klimin, and J. Tempere, Phys. Rev. A 93, 013614 (2016).

Primary author

Serghei KLIMIN (TQC, Universiteit Antwerpen)


Jacques TEMPERE (Universiteit Antwerpen) Milorad V. MILOSEVIC (University of Antwerpen) NICK VERHELST (Universiteit Antwerpen (UA))

Presentation materials