约瑟夫森混合器是一种能够生成纠缠量子微波信号的电路。 建立了约瑟夫森混合器的等效电路模型, 对三波混频哈密顿量进行量子化,研究了约瑟夫森结的临界电流、分路线性电感、谐振器传输线等效电感 以及外加穿过环路磁通对三波混频强度的影响。仿真结果表明:约瑟夫森结的临界电流决定了选择的线性 电感最大值,而对三波混频强度影响不大;线性电感的大小决定了外加穿过环路磁通的最优值以及三波混 频强度的最大值;谐振器传输线等效电感在允许范围内越小越好。研究对于有效选择电路元器件参数, 提高纠缠量子微波生成能力有重要价值。

Josephson mixer is a kind of circuit which can generate entangled quantum microwave signals. An equivalent circuit model of Josephson mixer is established. Quantization is carried out on three-wave mixing Hamiltonian. Influences of the critical current of Josephson junction, shunt linear inductance, equivalent inductance of resonator transmission line and applied effect of flux through the ring on three-wave mixing intensity are investigated. Simulation results show that the critical current of Josephson junction determines the maximum value of the chosen linear inductance, but has little influence on three-wave mixing intensity. The value of linear inductor determines the optimal value of flux through the ring and maximum value of three-wave mixing intensity. Resonator transmission line equivalent inductance is the smaller the better in the allowable range. It is of great value to choose circuit component parameters effectively and improve the generating ability of entangled quantum microwave.