论文标题
SYK模型中的复制虫洞和信息检索连接到Majoragan链
Replica wormhole and information retrieval in the SYK model coupled to Majorana chains
论文作者
论文摘要
在（1+1）-D抗De保姆时空中对信息悖论的最新研究的动机，并用A（1+1）-D共构理论描述的浴室，我们研究了Sachdev-ye-Kitaev（Syk）型号（$χ$）与Maparana Chable Bath（$ $ C $ $ $ψ$ψ$ψ的sachdev-ye-kitaev（Syk）模型（$χ$）的第二个rényi熵的动态。该系统是在Thermofield Double（TFD）状态中准备的，然后通过$ H_L+H_R $进化。对于小型系统浴耦合，我们发现Syk模型的第二个Rényi熵$ s^{（2）} _ {χ_l，χ_r} $在演变过程中经历了一阶转变。从全息二元性的意义上讲，长期解决方案对应于“复制虫洞”。过渡时间对应于耦合到热浴的黑洞的页面时间。我们通过引入经典的控制位进一步研究信息的争夺和检索，该控制位控制我们是否在SYK系统中添加了扰动。浴室和控制位之间的相互信息在页面时间显示出积极的跳跃，表明浴室的纠缠楔子包括全息块中的一个小岛。
Motivated by recent studies of the information paradox in (1+1)-D anti-de Sitter spacetime with a bath described by a (1+1)-D conformal field theory, we study the dynamics of second Rényi entropy of the Sachdev-Ye-Kitaev (SYK) model ($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 $S^{(2)}_{χ_L, χ_R}$ 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.
