Identical Particles and Entanglement

Entanglement of Identical Particles

Ensemble averaged entanglement of identical particles

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...

Entanglement of Identical Particles and Reference Phase Uncertainty

Entanglement of Identical Particles and the Detection Process

Malte C. Tichy∗,1, 2 Fernando de Melo,1, 3, 4 Marek Kuś,5 Florian Mintert,1, 6 and Andreas Buchleitner1 Physikalisches Institut, Albert–Ludwigs–Universität Freiburg, Hermann–Herder–Str. 3, D–79104 Freiburg, Germany Lundbeck Foundation Theoretical Center for Quantum System Research, Department of Physics and Astronomy, University of Aarhus, DK–8000 Aarhus C, Denmark Instituut voor Theoretische F...

Criteria for the entanglement of composite systems of identical particles ∗

We identify a general criterion for detecting entanglement of pure bipartite quantum states describing a system of two identical particles. Such a criterion is based both on the consideration of the Slater-Schmidt number of the fermionic and bosonic analog of the Schmidt decomposition and on the evaluation of the von Neumann entropy of the one-particle reduced statistical operators.