Natural orbits of atomic Cooper pairs in a nonuniform Fermi gas
arXiv:cond-mat/0605180 · doi:10.1103/PhysRevA.74.013618
Abstract
We examine the basic mode structure of atomic Cooper pairs in an inhomogeneous Fermi gas. Based on the properties of Bogoliubov quasi-particle vacuum, the single particle density matrix and the anomalous density matrix share the same set of eigenfunctions. These eigenfunctions correspond to natural pairing orbits associated with the BCS ground state. We investigate these orbits for a Fermi gas in a spherical harmonic trap, and construct the wave function of a Cooper pair in the form of Schmidt decomposition. The issue of spatial quantum entanglement between constituent atoms in a pair is addressed.
arXiv comment14 pages, 4 figures, submitted to Phys. Rev. A
References in corpus (20)
- Condensation of Pairs of Fermionic Atoms Near a Feshbach Resonance
- Vortices and Superfluidity in a Strongly Interacting Fermi Gas
- Observation of the Pairing Gap in a Strongly Interacting Fermi Gas
- Mean-field description of ground-state properties of drip-line nuclei: Pairing and continuum effects
- Spatial quantum noise interferometry in expanding ultracold atom clouds
- Two-species mixture of quantum degenerate Bose and Fermi gases
- Probing Pair-Correlated Fermionic Atoms through Correlations in Atom Shot Noise
- Superfluidity of spin-polarized 6Li
- Radio-Frequency Spectroscopy of Ultracold Fermions
- Renormalization of the Hartree-Fock-Bogoliubov Equations in the Case of a Zero Range Pairing Interaction
- BCS Theory for Trapped Ultracold Fermions
- Quantum entanglement as an interpretation of bosonic character in composite two-particle systems
- Hartree-Fock-Bogoliubov theory versus local-density approximation for superfluid trapped fermionic atoms
- Cooper pairing and single particle properties of trapped Fermi gases
- Detecting correlation functions of ultracold atoms through Fourier sampling of time-of-flight images
- Quantifying ground state entanglement of the BCS model
- Shell structure and pairing for interacting fermions in a trap
- An HFB scheme in natural orbitals
- Pairing of fermions in atomic traps and nuclei
- S-wave quantum entanglement in a harmonic trap