标题： 旁路约瑟夫森结中最大超导电流对共振频率的依赖性 显示英文标题

标题： Dependence of the maximal superconducting current on resonance frequency in shunted Josephson junction

摘要： 我们研究了并联的约瑟夫森结与$LC$电路耦合时的相位动力学和 IV 特性。当约瑟夫森频率$\omega_J$接近耦合谐振电路的本征频率$\omega_{rc}$时，IV 特性表现出一个额外的$rc$分支。我们研究了$rc$分支以及不同谐振频率下的超导电流分量的特性。发现超导电流的最大值取决于谐振频率，并且当$rc$分支的端点接近临界电流时，该最大值会增加。在不同耗散参数值下，最大超导电流与谐振频率之间的依赖关系具有特殊性，优化后的最大值似乎在$1\%$范围内与系统参数无关。 显示英文摘要

摘要： We have investigated the phase dynamics and IV-characteristics of shunted Josephson junctions coupled to an $LC$ circuit. When the Josephson frequency $\omega_J$ is close to the eigen frequency $\omega_{rc}$ of the coupled resonance circuit, the IV-characteristic demonstrates an additional $rc$-branch. We have investigated the features of the $rc$-branch and of the superconducting current component for different values of the resonance frequency. It has been found that the maximal value of the superconducting current depends on the resonance frequency and that it increases when the end point of the $rc$-branch approaches the critical current. The dependence of the maximal superconducting current on the resonance frequency at different values of the dissipation parameter is peculiar, for the optimized maximum appears to be independent of the system parameters within $1\%$.