Prethermal strong zero modes and topological qubits
Prethermal strong zero modes and topological qubits
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DOI：
10.1103/physrevx.7.041062
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发表时间：
2017-04
影响因子：
12.5
通讯作者：
D. Else;P. Fendley;Jack Kemp;C. Nayak
中科院分区：
文献类型：
--
作者：
D. Else;P. Fendley;Jack Kemp;C. Nayak
我们证明了量子信息编码在一些拓扑激发，包括某些马约拉纳零模式，是保护在封闭系统的时间尺度指数长的系统参数。这种保护甚至在无限温度下也有效。在较低的温度下，衰减时间变得甚至更长，温度依赖性由参数大于系统的实际能隙的有效能隙控制。这种非平衡动力学现象是预热化的一种形式，发生的原因是边缘或缺陷自由度与体积的平衡受到阻碍。我们分析了有序和拓扑相在一，二，三个维度的分支，包括马约拉纳和parafermionic零模式的相互作用自旋链的例子。我们的研究结果是基于在任何维度上有效的非微扰分析，并在一维数值模拟中说明。我们讨论了量子点链调谐到一个政权支持结束马约拉纳零模式和被困离子链的实验的影响。
We prove that quantum information encoded in some topological excitations, including certain Majorana zero modes, is protected in closed systems for a time scale exponentially long in system parameters. This protection holds even at infinite temperature. At lower temperatures, the decay time becomes even longer, with a temperature dependence controlled by an effective gap that is parametrically larger than the actual energy gap of the system. This nonequilibrium dynamical phenomenon is a form of prethermalization and occurs because of obstructions to the equilibration of edge or defect degrees of freedom with the bulk. We analyze the ramifications for ordered and topological phases in one, two, and three dimensions, with examples including Majorana and parafermionic zero modes in interacting spin chains. Our results are based on a nonperturbative analysis valid in any dimension, and they are illustrated by numerical simulations in one dimension. We discuss the implications for experiments on quantum-dot chains tuned into a regime supporting end Majorana zero modes and on trapped ion chains.