Abstract
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.
- Received 3 April 2007
DOI:https://doi.org/10.1103/PhysRevA.75.062104
©2007 American Physical Society