https://doi.org/10.1140/epjd/e2006-00162-7
Entanglement of Fermi gases in a harmonic trap
Department of physics, Dalian University of Technology, Dalian, 116024, P.R. China
Corresponding author: a yixx@dlut.edu.cn
Received:
12
January
2006
Published online:
12
July
2006
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 particle number of the
Fermi gas. Fermions at the edge 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 
, a function of Cooper pair number
Q and the total number of occupied energy levels M.
PACS: 03.67.Mn – Entanglement production, characterization, and manipulation / 03.65.Ud – Entanglement and quantum nonlocality / 05.30.Fk – Fermion systems and electron gas / 74.20.Fg – BCS theory and its development
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2006
