Simple analog of the black-hole information paradox in quantum Hall interfaces
Simple analog of the black-hole information paradox in quantum Hall interfaces
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DOI：
10.1103/physrevb.105.045306
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发表时间：
2021-06
影响因子：
3.7
通讯作者：
K. Ma;Kun Yang
中科院分区：
文献类型：
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作者：
K. Ma;Kun Yang
过去几十年来，黑洞信息悖论一直备受争议，但尚未得到完全解决。这使得人们希望在简单且可通过实验访问的系统中找到这种悖论的类似物，其解决方案可能会揭示这个长期存在的基本问题。在这里，我们识别并解决了 Halperin-331 和普法夫态之间的量子霍尔界面中明显的“信息悖论”。当阿贝尔 331 准粒子穿过界面进入非阿贝尔普法夫态时，其赝自旋自由度所携带的信息会被扰乱，并且无法进行局部测量；从这个意义上说，普法夫区域是黑洞内部的模拟，而界面则起着类似于其视界的作用。我们证明，一旦“黑洞”蒸发并且准粒子返回到 331 区域，“丢失”的信息就会恢复，尽管是以高度纠缠的形式。这种恢复是通过这些准粒子携带的熵的佩奇曲线来量化的，这些准粒子是霍金辐射的类似物。
The black hole information paradox has been hotly debated for the last few decades, without full resolution. This makes it desirable to find analogs of this paradox in simple and experimentally accessible systems, whose resolutions may shed light on this long-standing and fundamental problem. Here we identify and resolve an apparent “information paradox” in a quantum Hall interface between the Halperin-331 and Pfaffian states. Information carried by the pseudospin degree of freedom of the Abelian 331 quasiparticles gets scrambled when they cross the interface to enter non-Abelian Pfaffian state, and becomes inaccessible to local measurements; in this sense the Pfaffian region is an analog of black hole interior while the interface plays a role similar to its horizon. We demonstrate that the “lost” information gets recovered once the “black hole” evaporates and the quasiparticles return to the 331 region, albeit in a highly entangled form. Such recovery is quantified by the Page curve of the entropy carried by these quasiparticles, which are analogs of Hawking radiation.