论文标题
大量超导网络的代数规范量化
Algebraic canonical quantization of lumped superconducting networks
论文作者
论文摘要
我们通过使用冗余配置空间描述，提出了一个系统的典型量化程序，用于集总元素超导网络。该算法基于正面半限制性汉密尔顿矩阵的原始，明确和建设性的实现，这是威廉姆森定理的一个特殊实例。有了它，我们得出了被动因果系统的规范量化的离散变量描述。我们用代表性的奇异电网络来体现算法，这是黑盒量化方法的非偏置扩展以及原型Landau量化问题。
We present a systematic canonical quantization procedure for lumped-element superconducting networks by making use of a redundant configuration-space description. The algorithm is based on an original, explicit, and constructive implementation of the symplectic diagonalization of positive semidefinite Hamiltonian matrices, a particular instance of Williamson's theorem. With it, we derive canonically quantized discrete-variable descriptions of passive causal systems. We exemplify the algorithm with representative singular electrical networks, a nonreciprocal extension for the black-box quantization method, as well as an archetypal Landau quantization problem.
