论文标题
基于RF-squids的超材料的量子模型，可实现3WM和4WM行驶波参数扩增
A quantum model for rf-SQUIDs based metamaterials enabling 3WM and 4WM Travelling Wave Parametric Amplification
论文作者
论文摘要
在单光子水平上提出了在三波混合（3WM）和四波混合（4WM）方案中工作的基于约瑟夫森的超材料的量子模型。考虑到传输线，即行驶波Josephson参数放大器（TWJPA），是由RF平方链组成的双漏，可以被直流电流或磁场偏置，以激活3WM或4WM非线性。该模型利用了哈密顿式方法，以分析确定在海森堡和相互作用图片中系统的时间演变。前者返回放大器增益的分析形式，而后者则允许恢复多模式的FOCK和相干输入状态的概率分布与光子种群的时间。超材料的非线性的依赖性是根据电路参数在集体模型框架中提出的，同时评估了实验条件对模型有效性的影响。
A quantum model for Josephson-based metamaterials working in the Three-Wave Mixing (3WM) and Four-Wave Mixing (4WM) regimes at the single-photon level is presented. The transmission line taken into account, namely Traveling Wave Josephson Parametric Amplifier (TWJPA), is a bipole composed by a chain of rf-SQUIDs which can be biased by a DC current or a magnetic field in order to activate the 3WM or 4WM nonlinearities. The model exploits a Hamiltonian approach to analytically determine the time evolution of the system both in the Heisenberg and interaction pictures. The former returns the analytic form of the gain of the amplifier, while the latter allows recovering the probability distributions vs. time of the photonic populations, for multimodal Fock and coherent input states. The dependence of the metamaterial's nonlinearities is presented in terms of circuit parameters in a lumped model framework while evaluating the effects of the experimental conditions on the model validity.
