Abstract

The BCS-BEC crossover phenomenon in a 3D attractive Fermi gas is revisited by using finite temperature Green functions formalism derived from the quantum path integral technique and Mean Field Approximation (MFA). Collective modes for weak and strong coupling particle-particle interaction g are obtained after recovering the dynamical coefficients in the nonlinear Time Dependent Ginzburg Landau (TDGL) equation, and numerically simulated under those particular states for the filling energy g ~ 0 and order parameter Δ(x,τ) ~ Δ0. Explicit formulas for the first order average fluctuations ⟨η2q,ω⟩ and the scaling law for the thermal energy associated to the non-linear collective modes are also reported.

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