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arXiv 0907.1960quant-ph
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在黑洞中幸存的费米纠缠

Fermionic entanglement that survives a black hole

E. Martin-Martinez, J. Leon

摘要:

我们引入了任意数量的可访问的模式时,分析两个合作伙伴爱丽丝和罗布之间的Unruh效应造成的二分纠缠退化。在单模近似下,由于泡利不相容原理,费米子场只有少数几个可激发能级,而玻色子场则有无限多个可激发能级。这被认为是证明纠缠生存的费米子的情况下,在SMA无限加速极限。在这里,我们放松SMA。因此,当观察者罗布加速时,即使是费米子场,也会激发出无限多的模式。我们将证明,尽管与玻色子的情况类似,纠缠损失是有限的。我们将表明,这来自费米子统计通过特征结构,它强加在无限维密度矩阵罗布。令人惊讶的是,幸存的纠缠是独立的特定的最大纠缠状态的选择,所分析的费米子场的种类,以及所考虑的可访问模式的数量。我们将讨论这种幸存的纠缠是否超越了纯粹的统计相关性,从而深入了解黑洞信息悖论。

英文摘要:

We introduce an arbitrary number of accessible modes when analyzing bipartite entanglement degradation due to Unruh effect between two partners Alice and Rob. Under the single mode approximation (SMA) a fermion field only had a few accessible levels due to Pauli exclusion principle, conversely to bosonic fields which had an infinite number of excitable levels. This was argued to justify entanglement survival in the fermionic case in the SMA infinite acceleration limit. Here we relax SMA. Hence, an infinite number of modes are excited as the observer Rob accelerates, even for a fermion field. We will prove that, despite this analogy with the bosonic case, entanglement loss is limited. We will show that this comes from fermionic statistics through the characteristic structure it imposes on the infinite dimensional density matrix for Rob. Surprisingly, the surviving entanglement is independent of the specific maximally entangled state chosen, the kind of fermionic field analyzed, and the number of accessible modes considered. We shall discuss whether this surviving entanglement goes beyond the purely statistical correlations, giving insight concerning the black hole information paradox.

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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