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arXiv:quant-ph/0106117 · Physical Review A

Quantum correlations in two-boson wave functions

R. Paškauskas, Li You

Published Sep 13, 2001• 236 citations
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Abstract

We present the Schmidt decomposition for arbitrary wave functions of two indistinguishable bosons, extending the recent studies of entanglement or quantum correlations for two fermion systems [J. Schliemann et al., Phys. Rev. B 63, 085311 (2001) and quant-ph/0012094]. We point out that the von Neumann entropy of the reduced single-particle density matrix remains to be a good entanglement measure for two identical particles.

DOI
10.1103/physreva.64.042310

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We review two general criteria for deciding whether a pure bipartite quantum state describing a system of two identical particles is entangled or not. The first one considers the possibility of attributing a complete set of objective properties to each particle belonging to the composed system, while the second is based both on the consideration of the Slater-Schmidt number of the fermionic and bosonic analogue of the Schmidt decomposition and on the evaluation of the von Neumann entropy of the one-particle reduced statistical operators.
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