论文标题
回复评论“ Sachdev-Ye-Kitaev模型中的混沌综合过渡”
Reply to Comment on "Chaotic-Integrable Transition in the Sachdev-Ye-Kitaev Model"
论文作者
论文摘要
在SYK模型中对论文混乱的综合转变的最新评论中，据称，在参数的某个区域，Naperanas Sachdev-ye-Kitaev模型的lyapunov指数具有二次扰动，始终是正面的。这意味着该模型是量子混乱的。在此答复中，我们表明，由于缺乏时间尺度的分离，所采用的扰动形式主义在评论中所调查的参数范围彻底崩溃。此外，根据最近的分析结果，我们表明，对于任何大型和固定的N，该模型确实具有混乱的整合过渡，使评论结果无效。
In a recent comment to the paper Chaotic Integrable transition in the SYK model, it was claimed that, in a certain region of parameters, the Lyapunov exponent of the N Majoranas Sachdev-Ye-Kitaev model with a quadratic perturbation, is always positive. This implies that the model is quantum chaotic. In this reply, we show that the employed perturbative formalism breaks down precisely in the range of parameters investigated in the comment due to a lack of separation of time scales. Moreover, based on recent analytical results, we show that for any large and fixed N, the model has indeed a chaotic-integrable transition that invalidate the results of the comment.
