Sachdev-Ye-Kitaev Circuits for Braiding and Charging Majorana Zero Modes.
Sachdev-Ye-Kitaev Circuits for Braiding and Charging Majorana Zero Modes.
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DOI：
10.1103/physrevlett.128.106805
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发表时间：
2020-12
影响因子：
8.6
通讯作者：
Jan Behrends;B. B'eri
中科院分区：
文献类型：
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作者：
Jan Behrends;B. B'eri
Sachdev-Ye-Kitaev（SYK）模型是一个全对全相互作用的Majorana费米子模型，用于研究多体量子混沌和全息对应。在这里，我们构建费米子所有到所有Floquet量子电路的随机四体门设计捕捉SYK动力学的关键特征。我们的电路可以使用马约拉纳设备中的本地成分来构建，即充电介导的相互作用和编织马约拉纳零模式。这为SYK量子模拟提供了一条模拟-数字路线，使所有对所有的相互作用与Majorana零模式的拓扑保护相协调，这是现有模拟SYK模拟提案中缺少的一个关键功能。我们还描述了如何动态的，包括了时间顺序，相关函数可以测量在这样的模拟-数字实现采用预见的能力在马约拉纳设备。
The Sachdev-Ye-Kitaev (SYK) model is an all-to-all interacting Majorana fermion model for many-body quantum chaos and the holographic correspondence. Here we construct fermionic all-to-all Floquet quantum circuits of random four-body gates designed to capture key features of SYK dynamics. Our circuits can be built using local ingredients in Majorana devices, namely, charging-mediated interactions and braiding Majorana zero modes. This offers an analog-digital route to SYK quantum simulations that reconciles all-to-all interactions with the topological protection of Majorana zero modes, a key feature missing in existing proposals for analog SYK simulation. We also describe how dynamical, including out-of-time-ordered, correlation functions can be measured in such analog-digital implementations by employing foreseen capabilities in Majorana devices.