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Entanglement conditions for four-mode states via the uncertainty relations in conjunction with partial transposition

100%

Song L. , Wang X. , Yan D. , Li Y.

Open Physics

2008

tom 6

nr 2

199-204

From the Heisenberg uncertainty relation in conjunction with partial transposition, we derive a class of inequalities for detecting entanglements in four-mode states. The sufficient conditions for bipartite entangled states are presented. We also discuss the generalization of the entanglement conditions via the Schrödinger-Robertson indeterminacy relation, which are in general stronger than those based on the Heisenberg uncertainty relation.

Mean spin direction and spin squeezing in superpositions of spin coherent states

100%

Yan D. , Wang X. , Song L. , Zong Z.

Open Physics

2007

tom 5

nr 3

367-376

We consider the mean spin direction (MSD) of superpositions of two spin coherent states (SCS) | ± μ〉, and superpositions of | μ〉 and | μ*〉 with a relative phase. We find that the azimuthal angle exhibits a π transition for both states when we vary the relative phase. The spin squeezing of the states, and the bosonic counterpart of the mean spin direction are also discussed.