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arXiv 1003.3550quant-phgr-qc
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非惯性系中玻色关联的布居束缚效应

Population bound effects on bosonic correlations in non-inertial frames

E. Martin-Martinez, J. Leon

摘要:

我们分析的影响,边界的玻色子场模式的占领数的所有不同的时空区域之间的相关性的设置,在该设置中,我们有一个时空的地平线以及惯性观察员。我们证明了A(惯性观察者)和R(匀加速观察者)之间的纠缠依赖于束缚N,与费米子的情况相反。去相干是否随N增加而增加取决于加速度a的值。关于二分区A-antiR(爱丽丝与观察员在Rindler的区域IV),我们表明,没有纠缠创建的N和a的值。此外,AR纠缠对于有限N和无限N都很快丢失。我们将详细研究玻色子和费米子的互信息守恒定律。通过与N有限性相关的边界效应,我们将证明,对于玻色子,这一定律源于经典关联,而对于费米子,它具有量子起源。最后,我们将介绍在R-antiR双划分纠缠的强N依赖性和比较费米子的情况下,他们的有限N玻色子类似物。我们还将展示这种纠缠对统计数据的反直觉依赖,因为玻色子的纠缠比费米子的纠缠多。

英文摘要:

We analyse the effect of bounding the occupation number of bosonic field modes on the correlations among all the different spatial-temporal regions in a setting in which we have a space-time with a horizon along with an inertial observer. We show that the entanglement between A (inertial observer) and R (uniformly accelerated observer) depends on the bound N, contrary to the fermionic case. Whether or not decoherence increases with N depends on the value of the acceleration a. Concerning the bipartition A-antiR (Alice with an observer in Rindler's region IV), we show that no entanglement is created whatever the value of N and a. Furthermore, AR entanglement is very quickly lost for finite N and for infinite N. We will study in detail the mutual information conservation law found for bosons and fermions. By means of the boundary effects associated to N finiteness, we will show that for bosons this law stems from classical correlations while for fermions it has a quantum origin. Finally, we will present the strong N dependence of the entanglement in R-antiR bipartition and compare the fermionic cases with their finite N bosonic analogs. We will also show the anti-intuitive dependence of this entanglement on statistics since more entanglement is created for bosons than for their fermion counterparts.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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