Anisotropic Ginzburg-Landau and Lawrence-Doniach models for layered ultracold Fermi gases.
Iazzi M., Fantoni S., Trombettoni A.
II - Fisica della materia
Aula 5 - Martedì 24 h 09:00 - 13:00
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I plan to discuss the effective description of a layered superfluid ultracold Fermi gas in optical lattices by means of anisotropic Ginzburg-Landau and Lawrence-Doniach models. From the microscopic Hamiltonian it is possible to compute the Josephson couplings entering the Lawrence-Doniach model across the crossover BCS-BEC for different anisotropies passing from the 3D isotropic case to the quasi-2D one: we show that a model with only nearest-neighbor Josephson couplings is not adequate at the unitary limit (since the pairs have a diameter larger than the interlayer distance). We show that the effective anisotropy of the system is strongly reduced at the unitary limit. We also discuss how to obtain a relation between the interlayer Josephson couplings and the Ginzburg-Landau masses. Finally, I will discuss recent results on the dynamics of two coupled ultracold Fermi systems.