Hamiltonian formulation of the effective kinetic theory for superfluid Fermi liquids

Details Hamiltonian formulation of the effective kinetic theory for superfluid Fermi liquids Hamiltonian formulation of the effective kinetic theory for superfluid Fermi liquids

2010-11-09

arxiv.org/abs/1011.2040v1

Phys.Lett.A375:666-670,2011

Physics

Condensed Matter

Quantum Gases

13 pages

Scientific paper

10.1016/j.physleta.2010.11.050

We present in a local form the time dependent effective description of a superfluid Fermi liquid which includes Landau damping effects at $T\neq 0$. 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.

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