On stable quantum currents
On stable quantum currents
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关于稳定的量子电流
DOI：
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发表时间：
2020
期刊：
影响因子：
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通讯作者：
A. Joye
中科院分区：
文献类型：
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作者：
J. Asch;O. Bourget;A. Joye
我们研究了格点上离散量子动力学系统的输运性质，特别是量子游动和Chalker-Coddington模型。我们证明了存在一个非平凡的电荷输运意味着绝对连续的频谱覆盖整个单位圆温和的假设下。我们讨论反常量子电荷输运。对于量子行走，我们展示了明确的硬币，这意味着存在稳定的定向量子电流沿着经典曲线的建设。结果是拓扑性质的和独立的模型的细节。
We study the transport properties of discrete quantum dynamical systems on the lattice, in particular, coined quantum walks and the Chalker–Coddington model. We prove the existence of a non-trivial charge transport implying that the absolutely continuous spectrum covers the whole unit circle under mild assumptions. We discuss anomalous quantum charge transport. For quantum walks, we exhibit the explicit constructions of coins that imply the existence of stable directed quantum currents along classical curves. The results are of topological nature and independent of the details of the model.