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arXiv 2201.03161hep-th
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荷电AdS黑洞的全息爱因斯坦环

Holographic Einstein Ring of a Charged AdS Black Hole

Yuxuan Liu, Qian Chen, Xiao-Xiong Zeng, HongBao Zhang, Wen-Liang Zhang

摘要:

考虑到实际的量子材料一般都是在有限的化学势下设计的,我们在AdS/CFT的背景下研究了复标量场作为探测波对带电AdS黑洞的透镜响应的Einstein环结构.一方面,我们发现所得到的爱因斯坦环半径不随化学势变化,这与弱相互作用量子系统的行为相似。另一方面,在弱相互作用系统中,这种环不仅可以很好地存在于屏内,而且其半径随温度的变化也表现出明显的特征,即在低温下,环的半径会明显增大,而在屏的边缘处,环的半径保持不变.在几何光学近似下,这种Einstein环在大频率下出现,并能被远离黑洞视界的光子球很好地捕获,因此这种明显的特征可以看作是具有引力对偶的强耦合系统高能模的普遍行为.

英文摘要:

Taking into account that the real quantum materials are engineered generically at a finite chemical potential, we investigate the Einstein ring structure for the lensed response of the complex scalar field as a probe wave on the charged AdS black hole in the context of AdS/CFT. On the one hand, we find that the resulting Einstein ring radius has no variation with the chemical potential, which is similar to the behavior for the weakly interacting quantum system. On the other hand, not only can such a ring exist well within the screen, but also the temperature dependence of its radius exhibits a distinct feature in the sense that it displays an appreciable increase at low temperatures while the ring keeps unchanged right at the edge of the screen for the weakly interacting system. Note that such a Einstein ring emerges in the large frequencies and can be well captured by the photon sphere away from the black hole horizon in the geometric optics approximation, thus such a distinct feature may be regarded as a universal behavior associated with the high energy modes of the strongly coupled system which has a gravity dual.

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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