Quantum Modeling and Control of Josephson Junction by Quantum Hamilton Mechanics

摘要：

　　In this paper,we apply quantum Hamilton mechanics to describe the dynamical motion of an electronic Cooper pair tunneling through a Josephson junction.Quantum Hamilton equations provide us a set of canonical equations(q)= f(q,p)and(p)= g(q,p)to model the tunneling dynamics of a Cooper pair.Instead of using the conventional probabilistic description,we solve complex quantum trajectory q(t)= qR+qI.i from the Hamilton equations to demonstrate the tunneling dynamics on a geometrical phase plane.In order to control the dynamics of a cooper pair,we add a gate voltage parameter ng to the quantum Hamiltonian.By adjusting the magnitude of ng,we successfully control the tunneling dynamic of the Cooper pair such that the predicted current-voltage relation is in excellent agreement with the experimental measurements.

关键词： Quantum control Josephson junction quantum tunneling Quantum Hamilton mechanics

作者: Cian-Dong Yang Chung-Hsuan Kuo

作者单位: No.1,University Road,Tainan City 701

会议类型: 国际会议

会议名称: The 33th Chinese Control Conference第33届中国控制会议

会议地点: 南京

会议语种:英文

页码: 5930-5934

在线出版日期: 2014-07-28（万方平台首次上网日期，不代表论文的发表时间）