Previous studies have shown that the decoherence of environments generally negatively influences the quantum correlations in the Schwarzschild black hole. In our paper, we find that the decoherence of the generalized amplitude damping (GAD) channel has both positive and negative effects on the quantum coherence of Dirac fields, which means that the decoherence of environments can not only reduce the quantum coherence but also increase the quantum coherence in Schwarzschild spacetime. This result banishes the widespread belief that the decoherence of the environment can only destroy the quantum coherence in curved spacetime. Furthermore, another novel phenomenon has been observed for the first time: with increasing Hawking temperature T, the QFI of physically inaccessible modes rapidly decays from infinity to 0, which may provide a way to detect whether the particles enter the physically inaccessible region or not. This result may provide a new perspective for exploring and analyzing black holes.

中文翻译：

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退相干下弯曲时空狄拉克粒子的量子相干性和量子费希尔信息


先前的研究表明，环境的退相干通常会对史瓦西黑洞中的量子相关性产生负面影响。在我们的论文中，我们发现广义振幅阻尼（GAD）通道的退相干对狄拉克场的量子相干性有积极和消极的影响，这意味着环境的退相干不仅会降低量子相干性，还会增加量子相干性。史瓦西时空中的量子相干性。这一结果推翻了人们普遍认为环境的退相干只能破坏弯曲时空中的量子相干性的观点。此外，首次观察到另一个新现象：随着霍金温度T的增加，物理不可接近模式的QFI迅速从无穷大衰减到0，这可能提供一种检测粒子是否进入物理不可接近区域的方法。这一结果可能为探索和分析黑洞提供新的视角。