Dynamical Anyon Generation in Kitaev Honeycomb Non-Abelian Spin Liquids

Dynamical Anyon Generation in Kitaev Honeycomb Non-Abelian Spin Liquids
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Kitaev 蜂窝非阿贝尔自旋液体中的动态任意子生成

DOI:
10.1103/physrevlett.129.037201
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发表时间:
2022
影响因子:
8.6
通讯作者:
Alicea, Jason
Alicea, Jason
中科院分区:
物理与天体物理1区
文献类型:
--
作者:
Liu, Yue;Slagle, Kevin;Burch, Kenneth S.;Alicea, Jason

文献摘要

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被称为“基塔耶夫材料”的相对论莫特绝缘体有可能实现承载非阿贝尔任意子的自旋液体。受这种情况下容错量子计算应用的推动,我们引入了一种利用通用边缘物理的动态任意子生成协议。该装置的特点是自旋液体中存在孔,这些孔为非阿贝尔任意子定义了能量廉价的位置,通过窄桥连接,该窄桥可以在自旋液体和拓扑平凡相之间进行调整。我们证明,在中间时间尺度上将桥从微不足道调制为自旋液体(通过分析和广泛的模拟进行量化)可以将非阿贝尔任意子概率地沉积到孔中。所需的桥操作可以通过将 Kitaev 材料集成到磁性隧道结阵列中来实现,从而产生局部可调谐交换场。结合现有的读出策略,我们的协议揭示了在零外加磁场下在 Kitaev 材料中进行拓扑量子位实验的路径。
Relativistic Mott insulators known as “Kitaev materials” potentially realize spin liquids hosting non-Abelian anyons. Motivated by fault-tolerant quantum-computing applications in this setting, we introduce a dynamical anyon-generation protocol that exploits universal edge physics. The setup features holes in the spin liquid, which define energetically cheap locations for non-Abelian anyons, connected by a narrow bridge that can be tuned between spin liquid and topologically trivial phases. We show that modulating the bridge from trivial to spin liquid over intermediate time scales—quantified by analytics and extensive simulations—deposits non-Abelian anyons into the holes withprobability. The required bridge manipulations can be implemented by integrating the Kitaev material into magnetic tunnel junction arrays that engender locally tunable exchange fields. Combined with existing readout strategies, our protocol reveals a path to topological qubit experiments in Kitaev materials at zero applied magnetic field.