Physics – Condensed Matter – Superconductivity
Scientific paper
2007-11-06
Phys. Rev. A 77, 013612 (2008)
Physics
Condensed Matter
Superconductivity
8 pages, 7 figures, minor revisions, references added, to be published in PRA
Scientific paper
10.1103/PhysRevA.77.013612
We discuss the occupation number correlations in an ultracold system of interacting fermionic atoms. For a system with a special energy-level distribution, viz. two multiply-degenerate levels, explicit expressions for the correlation functions are derived in a canonical approach using the exact ground state wavefunction of the reduced BCS Hamiltonian. We evaluate the correlators numerically for different interaction strength and find analytical expressions in some limiting cases. Due to the underlying fermionic nature of the pairs the occupations are predominantly anti-correlated and their statistics is a multinomial distribution.
Belzig Wolfgang
Bruder Christoph
Staudenmayer S.
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