Quantum modeling and control of Josephson junction by quantum Hamilton mechanics

Cian Dong Yang, Chung Hsuan Kuo

研究成果: Conference contribution

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 = 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.

原文English
主出版物標題Proceedings of the 33rd Chinese Control Conference, CCC 2014
編輯Shengyuan Xu, Qianchuan Zhao
發行者IEEE Computer Society
頁面5930-5934
頁數5
ISBN(電子)9789881563842
DOIs
出版狀態Published - 2014 9月 11
事件Proceedings of the 33rd Chinese Control Conference, CCC 2014 - Nanjing, China
持續時間: 2014 7月 282014 7月 30

出版系列

名字Proceedings of the 33rd Chinese Control Conference, CCC 2014
ISSN(列印)1934-1768
ISSN(電子)2161-2927

Conference

ConferenceProceedings of the 33rd Chinese Control Conference, CCC 2014
國家/地區China
城市Nanjing
期間14-07-2814-07-30

All Science Journal Classification (ASJC) codes

  • 電腦科學應用
  • 控制與系統工程
  • 應用數學
  • 建模與模擬

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