论文标题

拓扑约瑟夫森隧道连接电路中的跨导量

Transconductance quantization in a topological Josephson tunnel junction circuit

论文作者

Peyruchat, L., Griesmar, J., Pillet, J. -D., Girit, Ç. Ö.

论文摘要

结合约瑟夫森隧道连接的超导电路广泛用于基础研究以及量子信息和磁力测定等领域的应用。约瑟夫森连接的量子相干性使它们特别适合计量应用。约瑟夫森连接足以形成量子计量三角形的两个侧面,将频率与电压或电流相关,而不是直接将电压与电流连接起来的基部。我们提出了一个五个约瑟夫森隧道连接电路,其中同时泵送通量和电荷导致以$ 4E^2/h = 2e/φ_0$的量化跨导量,库珀对电荷与磁通量之间的比率。约瑟夫森量化的霍尔电导装置(JHD)是用AC Josephson效应驱动的相互交织的库珀对泵来解释的。我们讨论实验实现以及外部参数的最佳配置以及可能的错误源。 JHD具有丰富的拓扑结构,并证明约瑟夫森隧道连接是通用的,能够通过基本常数将频率,电压和电流相互关联。

Superconducting circuits incorporating Josephson tunnel junctions are widely used for fundamental research as well as for applications in fields such as quantum information and magnetometry. The quantum coherent nature of Josephson junctions makes them especially suitable for metrology applications. Josephson junctions suffice to form two sides of the quantum metrology triangle, relating frequency to either voltage or current, but not its base, which directly links voltage to current. We propose a five Josephson tunnel junction circuit in which simultaneous pumping of flux and charge results in quantized transconductance in units $4e^2/h = 2e/Φ_0$, the ratio between the Cooper pair charge and the flux quantum. The Josephson quantized Hall conductance device (JHD) is explained in terms of intertwined Cooper pair pumps driven by the AC Josephson effect. We discuss the experimental implementation as well as optimal configuration of external parameters and possible sources of error. JHD has a rich topological structure and demonstrates that Josephson tunnel junctions are universal, capable of interrelating frequency, voltage, and current via fundamental constants.

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