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arXiv 2108.07451gr-qchep-thquant-ph
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莫比乌斯镜

Möbius Mirrors

Michael R. R. Good, Eric V. Linder

摘要:

一个加速边界(镜子)就像一个视界和黑洞的类比,辐射出具有某种粒子谱的能量。我们证明了零坐标先进时间镜轨道上的莫比乌斯变换唯一地保持不变,不仅是能量通量,但粒子谱。我们阐明了几何纠缠熵如何也是不变的。该变换允许生成动态不同的轨迹,包括$\mathcal{PT}$对称的家庭,从永恒的热镜映射到德西特视界,和不同的边界运动对应的克尔或史瓦西黑洞。

英文摘要:

An accelerating boundary (mirror) acts as a horizon and black hole analog, radiating energy with some particle spectrum. We demonstrate that a Möbius transformation on the null coordinate advanced time mirror trajectory uniquely keeps invariant not only the energy flux but the particle spectrum. We clarify how the geometric entanglement entropy is also invariant. The transform allows generation of families of dynamically distinct trajectories, including $\mathcal{PT}$-symmetric ones, mapping from the eternally thermal mirror to the de Sitter horizon, and different boundary motions corresponding to Kerr or Schwarzschild black holes.

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