Ensemble averaged entanglement of two-particle states in Fock space
Quantum Physics
2009-11-13 v2
Abstract
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.
Cite
@article{arxiv.quant-ph/0703243,
title = {Ensemble averaged entanglement of two-particle states in Fock space},
author = {Jan Naudts and Tobias Verhulst},
journal= {arXiv preprint arXiv:quant-ph/0703243},
year = {2009}
}
Comments
19 pages Latex, changed title, references added in the conclusions