Mode Structure in Superconducting Metamaterial Transmission-Line Resonators
Mode Structure in Superconducting Metamaterial Transmission-Line Resonators
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DOI：
10.1103/physrevapplied.11.054062
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发表时间：
2018-12
影响因子：
4.6
通讯作者：
H. Wang;A. Zhuravel;S. Indrajeet;B. G. Taketani;M. Hutchings;Y. Hao;F. Rouxinol;F. Wilhelm;M. LaHaye;A. Ustinov;B. Plourde
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文献类型：
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作者：
H. Wang;A. Zhuravel;S. Indrajeet;B. G. Taketani;M. Hutchings;Y. Hao;F. Rouxinol;F. Wilhelm;M. LaHaye;A. Ustinov;B. Plourde
超导超材料是量子信息科学研究的重要资源。在电路QED的背景下，它们提供了一种方法来设计芯片上，新颖的色散关系和能带结构，最终可用于产生量子电路的复杂纠缠态，用于量子水库工程，并作为量子模拟体系结构的元素。本文报道了一种特殊类型的电路超材料谐振器的研制和在毫开尔文温度下的测量，该谐振器由平面超导集总元件电抗组成，其形式为离散左传输线（LHTL）。我们详细讨论了该系统的设计、制作和电路特性。此外，我们还利用微波透射测量和激光扫描显微镜（LSM）对这些超材料谐振器中的密模谱进行了广泛的表征。结果与数值模拟和基于电流-电压关系的离散传输线的解析模型在定量上是一致的。特别是，我们证明了超材料模式频率，电流和电荷密度的空间分布以及由于外部负载引起的阻尼可以很容易地建模和理解，使该系统成为未来在量子电路应用和复杂量子系统研究中使用的有前途的工具。
Superconducting metamaterials are a promising resource for quantum information science. In the context of circuit QED, they provide a means to engineer on-chip, novel dispersion relations and a band structure that could ultimately be utilized for generating complex entangled states of quantum circuitry, for quantum reservoir engineering, and as an element for quantum simulation architectures. Here we report on the development and measurement at millikelvin temperatures of a particular type of circuit metamaterial resonator composed of planar superconducting lumped-element reactances in the form of a discrete left-handed transmission line (LHTL). We discuss the details of the design, fabrication, and circuit properties of this system. As well, we provide an extensive characterization of the dense mode spectrum in these metamaterial resonators, which we conducted using both microwave transmission measurements and laser scanning microscopy (LSM). Results are observed to be in good quantitative agreement with numerical simulations and also an analytical model based upon current-voltage relationships for a discrete transmission line. In particular, we demonstrate that the metamaterial mode frequencies, spatial profiles of current and charge densities, and damping due to external loading can be readily modeled and understood, making this system a promising tool for future use in quantum circuit applications and for studies of complex quantum systems.