论文标题
在Syk横穿虫洞上，与不完美相关的疾病
On SYK traversable wormhole with imperfectly correlated disorders
论文作者
论文摘要
在本文中，我们研究了两种sachdev-ye-kitaev模型（L系统和R系统）的相结构，并通过简单的相互作用和不完美相关的疾病结合。 When the disorder of the two systems are perfectly correlated, $J_{i_1\cdots i_q}^{(L)}=J_{i_1\cdots i_q}^{(R)}$, this model is known to exhibit a phase transition at a finite temperature between the two-black hole phase at high-temperature and the traversable wormhole phase at low temperature.我们发现，由于相关$ \ langle j_ {i_1 \ cdots i_q}^{（l）} j_ {i_1 \ cdots i_q}^{（r）} \ rangle $减少，关键温度较低。同时，在低温阶段，L系统和R系统之间的传输变得更加受到抑制，而整个系统的混乱指数变得更大。有趣的是，我们还观察到，当相关小于某些Q依赖性临界值时，相变为整个参数空间中，相位转换完全消失。在零温度下，随着我们降低相关性，能量差距变得更大。我们还使用广义热场双状态作为变异状态。有趣的是，该状态与基态处于较大的Q限制中相吻合。
In this paper we study the phase structure of two Sachdev-Ye-Kitaev models (L-system and R-system) coupled by a simple interaction, with imperfectly correlated disorder. When the disorder of the two systems are perfectly correlated, $J_{i_1\cdots i_q}^{(L)}=J_{i_1\cdots i_q}^{(R)}$, this model is known to exhibit a phase transition at a finite temperature between the two-black hole phase at high-temperature and the traversable wormhole phase at low temperature. We find that, as the correlation $\langle J_{i_1\cdots i_q}^{(L)} J_{i_1\cdots i_q}^{(R)}\rangle$ is decreased, the critical temperature becomes lower. At the same time, the transmission between L-system and R-system in the low-temperature phase becomes more suppressed, while the chaos exponent of the whole system becomes larger. Interestingly we also observe that when the correlation is smaller than some q-dependent critical value the phase transition completely disappears in the entire parameter space. At zero temperature, the energy gap becomes larger as we decrease the correlation. We also use a generalized thermofield double state as a variational state. Interestingly, this state coincide with the ground state in the large q limit.
