Natural orbits of atomic Cooper pairs in a nonuniform Fermi gas

Details Natural orbits of atomic Cooper pairs in a nonuniform Fermi gas Natural orbits of atomic Cooper pairs in a nonuniform Fermi gas

2006-05-08

arxiv.org/abs/cond-mat/0605180v1

Physics

Condensed Matter

Other Condensed Matter

14 pages, 4 figures, submitted to Phys. Rev. A

Scientific paper

10.1103/PhysRevA.74.013618

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.

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