Replica wormhole and information retrieval in the SYK model coupled to Majorana chains
Replica wormhole and information retrieval in the SYK model coupled to Majorana chains
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DOI：
10.1007/jhep06(2020)121
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发表时间：
2020-03
影响因子：
5.4
通讯作者：
Yiming Chen;X. Qi;Pengfei Zhang
中科院分区：
文献类型：
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作者：
Yiming Chen;X. Qi;Pengfei Zhang
受（1 + 1）维共形场论描述的具有浴槽的（1 + 1）维反de Sitter时空中信息佯谬研究的启发，我们研究了耦合到Majorana链浴槽（Bath）的Sachdev-Ye-Kitaev（SYK）模型（χ）的第二熵动力学.系统在TFD态下制备，然后通过HL + HR演化.对于小的系统-浴耦合，我们发现SYK模型的第二Rényi熵\（{S} _ {\upchi L，\upchi R}^{（2）}\）在演化过程中经历了一级跃迁.在全息二元性的意义上，长时间的解决方案对应于一个“复制虫洞”。过渡时间对应于耦合到热浴的黑洞的Page时间。通过引入一个经典的控制位来控制是否在SYK系统中加入扰动，我们进一步研究了信息的置乱和检索。浴和控制位之间的互信息显示在页面时间的正跳，表明浴的纠缠楔包括在全息体中的岛。
Motivated by recent studies of the information paradox in (1+ 1)-D anti-de Sitter spacetime with a bath described by a (1+ 1)-D conformal field theory, we study the dynamics of second Ŕenyi entropy of the Sachdev-Ye-Kitaev (SYK) model (χ) coupled to a Majorana chain bath (ψ). The system is prepared in the thermofield double (TFD) state and then evolved by H L+ H R. For small system-bath coupling, we find that the second Rényi entropy\({S} _ {\upchi L,\upchi R}^{(2)}\) of the SYK model undergoes a first order transition during the evolution. In the sense of holographic duality, the long-time solution corresponds to a “replica wormhole”. The transition time corresponds to the Page time of a black hole coupled to a thermal bath. We further study the information scrambling and retrieval by introducing a classical control bit, which controls whether or not we add a perturbation in the SYK system. The mutual information between the bath and the control bit shows a positive jump at the Page time, indicating that the entanglement wedge of the bath includes an island in the holographic bulk.