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arXiv 2401.16031cond-mat.mes-hallnlin.CDquant-ph
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闭合与开放超导微波波导网络作为量子图模型

Closed and open superconducting microwave waveguide networks as a model for quantum graphs

Center for Theoretical Physics of Complex Systems, Institute for Basic Science (IBS)(复杂系统理论物理中心,基础科学研究所);Basic Science Program, Korea University of Science and Technology (UST)(基础科学项目,韩国科学技术院);GSI Helmholtzzentrum für Schwerionenforschung GmbH(GSI亥姆霍兹重离子研究中心有限公司);Darmstadt University of Applied Sciences(达姆施塔特应用科学大学)

Barbara Dietz, Tobias Klaus, Marco Masi, Maksym Miski-Oglu, Achim Richter, Tatjana Skipa, Marcus Wunderle

AI总结:

该研究通过超导波导网络实验,揭示了量子图模型中T型和Y型接点在不同频率下的散射特性差异,验证了随机矩阵理论预测。

摘要:

我们报告了使用具有四面体和蜂窝图几何结构的超导波导网络进行的高精度测量。这些网络由连接直矩形波导的三价接点组成,波导长度无理数。实验在单横模频率范围内进行,其中相关的亥姆霍兹方程可以有效地视为一维,波导网络可以作为量子图模型,接点和波导对应于顶点和边。四面体网络由T型接点组成,而蜂窝网络仅由Y型接点组成,连接具有相对角度90度和120度的波导。我们证明了顶点散射矩阵,描述通过接点传播的模式,强烈依赖于频率,并且在T型接点处非对称,因此不同于具有Neumann边界条件的量子图。相反,在Y型接点处,在一定频率范围内可以实现相似性。我们研究了闭合波导网络的谱性质和开放网络散射矩阵的波动性质,并发现与蜂窝波导图的随机矩阵理论预测有良好的一致性。

英文摘要:

We report on high-precision measurements that were performed with superconducting waveguide networks with the geometry of a tetrahedral and a honeycomb graph. They consist of junctions of valency three that connect straight rectangular waveguides of incommensurable lengths. The experiments were performed in the frequency range of a single transversal mode, where the associated Helmholtz equation is effectively one dimensional and waveguide networks may serve as models of quantum graphs with the joints and waveguides corresponding to the vertices and bonds. The tetrahedral network comprises T junctions, while the honeycomb network exclusively consists of Y junctions, that join waveguides with relative angles 90 degree and 120 degree, respectively. We demonstrate that the vertex scattering matrix, which describes the propagation of the modes through the junctions strongly depends on frequency and is non-symmetric at a T junction and thus differs from that of a quantum graph with Neumann boundary conditions at the vertices. On the contrary, at a Y junction, similarity can be achieved in a certain frequeny range. We investigate the spectral properties of closed waveguide networks and fluctuation properties of the scattering matrix of open ones and find good agreement with random matrix theory predictions for the honeycomb waveguide graph.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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