Density correlations in ultracold Fermi systems within the exact Richardson solution

Physics – Condensed Matter – Superconductivity

Scientific paper

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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.

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