Localization-protected quantum order
Localization-protected quantum order
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DOI：
10.1103/physrevb.88.014206
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发表时间：
2013-07-22
影响因子：
3.7
通讯作者：
Sondhi, S. L.
中科院分区：
文献类型：
--
作者：
Huse, David A.;Nandkishore, Rahul;Sondhi, S. L.
具有猝灭随机性的封闭量子系统表现出多体局域化机制，其中它们不平衡，即使用高于其基态的宏观量的能量制备。我们表明，这样的本地化系统可以订购，在个人的多体本征态可以打破对称性或显示拓扑秩序的无限体积限制。事实上，孤立的局域量子系统甚至可以在对应的热平衡系统是无序的能量密度下有序，即，地方化保护秩序。此外，局域系统可以通过多体本征态性质的非热力学跃迁在有序和无序局域相之间移动。我们给出的证据表明，这种转变可能会通过本地化的临界点。我们注意到，局域化提供了对退相干的保护，这可能允许宏观量子态的实验操作。我们还确定了一个“光谱过渡”涉及的多体哈密顿量的光谱统计的急剧变化。
Closed quantum systems with quenched randomness exhibit many-body localized regimes wherein they do not equilibrate, even though prepared with macroscopic amounts of energy above their ground states. We show that such localized systems can order, in that individual many-body eigenstates can break symmetries or display topological order in the infinite-volume limit. Indeed, isolated localized quantum systems can order even at energy densities where the corresponding thermally equilibrated system is disordered, i.e., localization protects order. In addition, localized systems can move between ordered and disordered localized phases via nonthermodynamic transitions in the properties of the many-body eigenstates. We give evidence that such transitions may proceed via localized critical points. We note that localization provides protection against decoherence that may allow experimental manipulation of macroscopic quantum states. We also identify a "spectral transition" involving a sharp change in the spectral statistics of the many-body Hamiltonian.