Ensemble averaged entanglement of two-particle states in Fock space

Details Ensemble averaged entanglement of two-particle states in Fock space Ensemble averaged entanglement of two-particle states in Fock space

2007-03-26

arxiv.org/abs/quant-ph/0703243v2

Physics

Quantum Physics

19 pages Latex, changed title, references added in the conclusions

Scientific paper

10.1103/PhysRevA.75.062104

Recent results, extending the Schmidt decomposition theorem to wavefunctions 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 of the Hubbard model, and to a pair of bosons in the the Bose-Hubbard model with infinite range hopping. The effect of degeneracy of the spectrum of the Hamiltonian on the average entanglement is emphasised.

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