Occupation numbers in strongly polarized Fermi gases and the Luttinger theorem

Abstract

We study a two-component Fermi gas that is so strongly polarized that it remains normal fluid at zero temperature. We calculate the occupation numbers within the particle-particle random-phase approximation, which is similar to the Nozieres-Schmitt-Rink approach. We show that the Luttinger theorem is fulfilled in this approach. We also study the change of the chemical potentials which allows us to extract, in the limit of extreme polarization, the polaron energy.

8 pages, 8 figures

References in corpus (4)

• Phase diagram of a two-component Fermi gas with resonant interactions
• Normal state of a polarized Fermi gas at unitarity
• Ultra-cold Polarized Fermi Gases
• BCS-BEC crossover in an asymmetric two-component Fermi gas

Cited by in corpus (5)

• Equation of Motion Method to strongly correlated Fermi systems and Extended RPA approaches
• Polarized Fermi gases at finite temperature in the BCS-BEC crossover
• Evolution of an attractive polarized Fermi gas: From a Fermi liquid of polarons to a non-Fermi liquid at the Fulde-Ferrell-Larkin-Ovchinnikov quantum critical point
• The normal state of attractive Fermi gases from coupled-cluster theory
• Number conservation in odd-particle number random phase approximation and extensions