Hamiltonian formulation of the effective kinetic theory for superfluid Fermi liquids

Abstract

We present in a local form the time dependent effective description of a superfluid Fermi liquid which includes Landau damping effects at $T\ne 0$. This is achieved by the introduction of an additional variable, the quasiparticle distribution function, which obeys a simple kinetic equation. The transport equation is coupled with first order equations for the Goldstone mode and the particle density. We prove that a main feature of this formulation is its Hamiltonian structure relative to a certain Poisson bracket. We construct the Hamiltonian to quadratic order.

13 pages

References in corpus (2)

• Quantum Fluctuations in the Superfluid State of the BCS-BEC Crossover
• Effective theory for the Goldstone field in the BCS-BEC crossover at T=0