Schwarzschild黑洞中纠缠的动力学
Dynamics of Entanglement in Schwarzschild Black Holes
AI总结：
研究Hawking辐射对Schwarzschild黑洞中纠缠的影响，通过纠缠度分析其随Hawking温度的变化，发现可访问区域的纠缠度随Hawking加速度增加而减小，不可访问区域则单调增加，并探讨了三种噪声通道下纠缠度的动力学行为。
摘要：
为表征由事件视界外量子大气引起的Hawking辐射对纠缠的影响，我们采用纠缠度作为双部分混合态的纠缠度量，研究其随Hawking温度的变化。我们发现，物理上可访问的纠缠度随着Hawking加速度的增加而减小，而物理上不可访问的纠缠度则表现出相反的行为，从零单调增加。我们还建立了几种纠缠度的权衡关系，揭示了其在物理上可访问和不可访问区域之间的分布。此外，我们研究了三种类型的噪声通道下纠缠度的动力学行为。结果表明，纠缠度的演变取决于具体的噪声通道：与相退相干通道不同，在相翻转和位翻转通道中，纠缠度会发生突然死亡，而在位翻转通道噪声下，纠缠度在演变过程中表现出对噪声参数的某种对称性。
英文摘要：
To characterize the effect of Hawking radiation induced by the quantum atmosphere beyond the event horizon on entanglement, we employ concurrence as the entanglement measure for a bipartite mixed state and investigate its evolution with Hawking temperature. We find that the physically accessible concurrence decreases as the Hawking acceleration increases, whereas the physically inaccessible concurrence exhibits the opposite behavior, increasing monotonically from zero. We further establish several trade-off relations on concurrence, revealing its distribution between physically accessible and inaccessible regions. Additionally, we study the dynamics of concurrence under three types of channel noise. The results indicate that the evolution of concurrence depends on the specific noise channel: unlike the phase damping channel, sudden death of concurrence occurs in both phase flip and bit flip channels, the concurrence exhibits a certain symmetry with respect to the noise parameter during its evolution under bit flip channel noise.
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