Entanglement and spin squeezing properties for three bosons in two modes

Details Entanglement and spin squeezing properties for three bosons in two modes Entanglement and spin squeezing properties for three bosons in two modes

2005-01-16

arxiv.org/abs/quant-ph/0501082v2

Phys. Rev. A 71, 042317 (2005)

Physics

Quantum Physics

7 pages, 6 figures; corrected figure sequence. Thanks to Dr. Han Pu

Scientific paper

10.1103/PhysRevA.71.042317

We discuss the canonical form for a pure state of three identical bosons in two modes, and classify its entanglement correlation into two types, the analogous GHZ and the W types as well known in a system of three distinguishable qubits. We have performed a detailed study of two important entanglement measures for such a system, the concurrence $\mathcal{C}$ and the triple entanglement measure $\tau$. We have also calculated explicitly the spin squeezing parameter $\xi$ and the result shows that the W state is the most ``anti-squeezing'' state, for which the spin squeezing parameter cannot be regarded as an entanglement measure.

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