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arXiv 0905.3226gr-qchep-thquant-ph
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黑洞背景下耦合质量标量场的纠缠

Entanglement of coupled massive scalar field in background of dilaton black hole

Jieci Wang, Qiyuan Pan, Songbai Chen, Jiliang Jing

摘要:

研究了黑洞上Garfinkle-Horowitz-Strominger(GHS)偶极时空中耦合质量标量场的纠缠.结果表明,纠缠度不依赖于粒子的质量和标量场与引力场的耦合,但随着量子参数$D$的增大而减小.有趣的是,在$D\to M$极限下,对应于极端黑洞的情形,对于任何态参数$α$,态不再具有可纠缠性,但互信息等于一个非零的最小值,这表明在此极限下,总关联由经典关联和束缚纠缠组成.

英文摘要:

The entanglement of the coupled massive scalar field in the spacetime of a Garfinkle-Horowitz-Strominger(GHS) dilaton black hole has been investigated. It is found that the entanglement does not depend on the mass of the particle and the coupling between the scalar field and the gravitational field, but it decreases as the dilaton parameter $D$ increases. It is interesting to note that in the limit of $D\to M$, corresponding to the case of an extreme black hole, the state has no longer distillable entanglement for any state parameter $α$, but the mutual information equals to a nonvanishing minimum value, which indicates that the total correlations consist of classical correlations plus bound entanglement in this limit.

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