Effects of the trapping potential on a superfluid atomic Fermi Gas

Abstract

We examine a dilute two-component atomic Fermi gas trapped in a harmonic potential in the superfluid phase. For experimentally realistic parameters, the trapping potential is shown to have crucial influence on various properties of the gas. Using an effective hamiltonian, analytical results for the critical temperature, the temperature dependence of the superfluid gap, and the energy of the lowest collective modes are derived. These results are shown to agree well with numerical calculations. We furthermore discuss in more detail a previous proposed method to experimentally observe the superfluid transition by looking at the collective mode spectrum. Our results are aimed at the present experimental effort to observe a superfluid phase transition in a trapped atomic Fermi gas.

2. revised version. Minor mistakes in equation references corrected. To appear in Phys. Rev. A

References in corpus (8)

• Resonance superfluidity in a quantum degenerate Fermi gas
• Two-species mixture of quantum degenerate Bose and Fermi gases
• Prospect of creating a composite fermi/bose superfluid
• All-Optical Production of a Degenerate Fermi Gas
• Pauli Blocking of Collisions in a Quantum Degenerate Atomic Fermi Gas
• Low energy Collective Modes of a Superfluid Trapped atomic Fermi Gas
• Cooper pairing and single particle properties of trapped Fermi gases
• Shell structure and pairing for interacting fermions in a trap

Cited by in corpus (11)

• Superfluidity and collective modes in a uniform gas of Fermi atoms with a Feshbach resonance
• Hartree-Fock-Bogoliubov theory versus local-density approximation for superfluid trapped fermionic atoms
• Pairing in a system of a few attractive fermions in a harmonic trap
• Pairing of fermions in atomic traps and nuclei
• A long-lived Higgs mode in a two-dimensional confined Fermi gas
• Low energy monopole Modes of a Trapped atomic Fermi Gas
• Interior gap superfluidity in a two-component Fermi gas of atoms
• Pairing fluctuations in trapped Fermi gases
• Quasi-particle properties of trapped Fermi gases
• Collective excitations in a fermion-fermion mixture with different Fermi surfaces
• Clustering of Fermi particles with arbitrary spin