Entanglement of Fermi gases in a harmonic trap

Details Entanglement of Fermi gases in a harmonic trap Entanglement of Fermi gases in a harmonic trap

2005-10-27

arxiv.org/abs/quant-ph/0510204v1

Eur. Phys. J. D, 39, 465(2006).

Physics

Quantum Physics

4 pages, 2 figures

Scientific paper

10.1140/epjd/e2006-00162-7

For both cases with and without interactions, bipartite entanglement of two-fermions from a Fermi gas in a trap is investigated. We show how the entanglement depends on the locations of the two fermions and the total number of particles. Fermions at the verge of trap have longer entanglement distance (beyond it, the entanglement disappears) than those in the center. We derive a lower limitation to the average overlapping for two entangled fermions in the BCS ground state, it is shown to be $\sqrt{Q/2M}$, a function of Cooper pair number $Q$ and total number of occupied energy levels $M$.

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