• Acta Physica Sinica
  • Vol. 68, Issue 11, 118501-1 (2019)
Heng-Jie Chen1、2、3, Hang Xue1、2、3, Shao-Xiong Li1、2、*, and Zhen Wang1、2、3
Author Affiliations
  • 1State Key Laboratory of Functional Materials for Informatics, Shanghai Institute of Microsystem and Information Technology, Chinese Academy of Sciences, Shanghai 200050, China
  • 2CAS Center for Excellence in Superconducting Electronics (CENSE), Shanghai 200050, China
  • 3University of Chinese Academy of Sciences, Beijing 100049, China
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    DOI: 10.7498/aps.68.20190167 Cite this Article
    Heng-Jie Chen, Hang Xue, Shao-Xiong Li, Zhen Wang. A method of determining microwave dissipation of Josephson junctions with non-linear frequency response[J]. Acta Physica Sinica, 2019, 68(11): 118501-1 Copy Citation Text show less
    Calculated trajectory of phase particle with experiment parameters for junction 3: , 10–4, γ = 0.9306. Vertical axis .计算得到的相位粒子在相空间中的运动轨迹 纵坐标, 计算采用的实验参数为, γ = 0.9306
    Fig. 1. Calculated trajectory of phase particle with experiment parameters for junction 3: , 10–4, γ = 0.9306. Vertical axis . 计算得到的相位粒子在相空间中的运动轨迹 纵坐标 , 计算采用的实验参数为 , γ = 0.9306
    Microwave response curves obtained by Eq. (5) (curves) and numerical simulation (error bars), for junction (μA, Q = 515.7) with applied microwave for the curves with the maximum amplitude from small to large respectively. Dot-dash line shows the dependence of where corresponding to the maximum oscillation amplitude on the power of the applied microwave.结(μA, Q = 515.7)在不同的微波驱动下, (5)式(曲线)和模拟(误差棒)得到的响应振幅b随归一直流偏置的函数变化关系, 响应曲线按其最大振幅从小到大顺序对应的外加微波强度分别为和, 点划线显示了最大振幅对应的随外加微波强度的变化
    Fig. 2. Microwave response curves obtained by Eq. (5) (curves) and numerical simulation (error bars), for junction ( μA, Q = 515.7) with applied microwave for the curves with the maximum amplitude from small to large respectively. Dot-dash line shows the dependence of where corresponding to the maximum oscillation amplitude on the power of the applied microwave. 结( μA, Q = 515.7)在不同的微波驱动下, (5)式(曲线)和模拟(误差棒)得到的响应振幅b随归一直流偏置 的函数变化关系, 响应曲线按其最大振幅从小到大顺序对应的外加微波强度分别为 和 , 点划线显示了最大振幅对应的 随外加微波强度的变化
    as a function of for different parameters of sample Josephson junctions in Table 1. Lines are results of Eq. (7). Error bars are numerical simulation results of . The lines of slops from small to large corresponding to Q values: 163.0 (junction 1), 508.6 (junction 2), 1549.1 (junction 3).表1中三个样品结的随的变化关系图, 线是(7)式的结果, 误差棒是的数值模拟结果, 图中直线斜率从小到大分别对应Q值163.0(结1), 508.6(结2), 1549.1(结3)
    Fig. 3. as a function of for different parameters of sample Josephson junctions in Table 1. Lines are results of Eq. (7). Error bars are numerical simulation results of . The lines of slops from small to large corresponding to Q values: 163.0 (junction 1), 508.6 (junction 2), 1549.1 (junction 3). 表1中三个样品结的 随 的变化关系图, 线是(7)式的结果, 误差棒是 的数值模拟结果, 图中直线斜率从小到大分别对应Q值163.0(结1), 508.6(结2), 1549.1(结3)
    as a function of for different quality factors. Lines are Eq. (7)’s results. Error bars are numerical simulation results of . The lines of slops from small to large corresponding to Q values: 51.6, 257.8, 515.7, 1533.0 accounting for junction 2 with different environment influences.结2在不同的电路环境下, 导致不同的品质因子Q (51.6, 257.8, 515.7, 1533.0, 对应直线斜率从小到大)时, 随的变化关系, 直线是(7)式的结果, 误差棒是的数值模拟结果
    Fig. 4. as a function of for different quality factors. Lines are Eq. (7)’s results. Error bars are numerical simulation results of . The lines of slops from small to large corresponding to Q values: 51.6, 257.8, 515.7, 1533.0 accounting for junction 2 with different environment influences. 结2在不同的电路环境下, 导致不同的品质因子Q (51.6, 257.8, 515.7, 1533.0, 对应直线斜率从小到大)时, 随 的变化关系, 直线是(7)式的结果, 误差棒是 的数值模拟结果
    结参数结1结2结3
    临界电流密度jc/A·cm–2100150200
    比电容Cs/fF·μm–242.946.450.5
    品质因子Q163.0508.61459.1
    Table 1. Parameters of Josephson junctions used in numerical simulations.
    实验参数表示符号取值
    归一直流偏置idc0.46—0.52
    归一微波电流irf1.6 × 10–4—5.5 × 10–4
    归一微波频率γ0.9306
    Table 2. Experiment settings used in numerical simulations.
    Heng-Jie Chen, Hang Xue, Shao-Xiong Li, Zhen Wang. A method of determining microwave dissipation of Josephson junctions with non-linear frequency response[J]. Acta Physica Sinica, 2019, 68(11): 118501-1
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