Density correlations in ultracold Fermi systems within the exact Richardson solution
arXiv:0711.0823 · doi:10.1103/PhysRevA.77.013612
Abstract
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.
8 pages, 7 figures, minor revisions, references added, to be published in PRA
References in corpus (6)
- Observation of the Pairing Gap in a Strongly Interacting Fermi Gas
- Crossover from a molecular Bose-Einstein condensate to a degenerate Fermi gas
- Collective excitations of a degenerate gas at the BEC-BCS crossover
- Spatial quantum noise interferometry in expanding ultracold atom clouds
- Camparison of the Hanbury Brown-Twiss effect for bosons and fermions
- Full counting statistics of heteronuclear molecules from Feshbach-assisted photo association