Occupation numbers in strongly polarized Fermi gases and the Luttinger theorem
arXiv:1407.2069 · doi:10.1103/PhysRevA.90.023632
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.
arXiv comment8 pages, 8 figures
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- The BCS-BEC crossover: From ultra-cold Fermi gases to nuclear systems
- 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
- Luttinger theorem and imbalanced Fermi systems
- Sum-rules and Goldstone modes from extended RPA theories in Fermi systems with spontaneously broken symmetries
- Application of renormalized RPA to polarized Fermi gases
- The normal state of attractive Fermi gases from coupled-cluster theory
- Number conservation in odd-particle number random phase approximation and extensions