Phys. Rev. A 75, 062104 (2007) [9 pages]Ensemble-averaged entanglement of two-particle states in Fock spaceReceived 3 April 2007; published 12 June 2007 Recent results, extending the Schmidt decomposition theorem to wave functions of pairs of identical particles, are reviewed. They are used to give a definition of reduced density operators in the case of two identical particles. Next, a method is discussed to calculate time averaged entanglement. It is applied to a pair of identical electrons in an otherwise empty band, and to a pair of bosons in a quadratic model with infinite range hopping. The effect of degeneracy of the spectrum of the Hamiltonian on the average entanglement is emphasized. © 2007 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevA.75.062104
DOI:
10.1103/PhysRevA.75.062104
PACS:
03.65.Ud, 05.30.−d
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