标题： 从Kitaev自旋链实现Sachdev-Ye-Kitaev模型的提议 显示英文标题

标题： Proposal of realizing the Sachdev-Ye-Kitaev model from a Kitaev Spin Chain

摘要： 萨切德-叶-基塔耶夫（SYK）模型是一个零维模型，使用相互作用的马约拉纳费米子模拟量子混沌。之前已有提议在可以支持马约拉纳零模的费米子系统中实现SYK模型。在本工作中，我们在基塔耶夫自旋链中模拟SYK模型，其中从自旋的费米子表示中，基态也存在零模。通过添加其他相互作用作为扰动，我们消除了简并的马约拉纳零模，并获得有效的SYK相互作用。尽管马约拉纳费米子在自旋算符形式上是非局域的，但我们表明马约拉纳费米子的非时序关联函数（OTOC）可以近似地以自旋算符的形式进行模拟。我们的提议为在纯玻色子系统中模拟费米子SKY模型及相关物理提供了启示。 显示英文摘要

摘要： The Sachdev-Ye-Kitaev (SYK) model is zero-dimensional model simulating quantum chaos using interacting Majorana fermions.Previously proposals have been made to realize the SYK model in fermionic systems that can support majorana zero modes. In this work, we simulate the SYK model in a Kitaev spin chain, where zero modes also exist in the ground state from the fermionic representation of spins. By adding other interactions as perturbations, we lift the degenerate majorana zero modes and obatin an effective SYK interactions. Although the majorana fermions are nonlocal in forms of spin operators, we show that the out-of-time-ordered correlator (OTOC) of the majorana fermions can be approximately simulated in forms of spin operators. Our proposal sheds light in simulating the fermonic SKY model and the related physics in purely bosonic systems.