J-C模型在含约瑟夫森结介观电路中的应用

An Application of the Jaynes-Cummings Model to the Josephson Junction Circuit

利用正则量子化方法,将所给的约瑟夫森结介观电路量子化,双态近似后类比于J-C模型,将体系视为单个二能级原子与单模量子化光场相互作用进而确定体系的本征能量和本征态,研究了体系在共振情况下相互作用对无耦合时能级简并的影响.结果显示耦合越强,粒子数越大能级间隔越大.

The mesoscopic circuit model based on the Josephson junction has been quantized by using the canonical quantization method,The system can be treated as a single two-level atom interacting with single-mode field in the two-state approximation on the analogy of the Jaynes-Cummings model.Its eigenenergies and eigenstates are also cofirmed.When the system is in the case of resonance,the interaction＇s effect on the degeneracy of energy-level in the uncoupled mode is discussed.It indicates that the energy gap is closely related to the coupling strength and the particle number.