TY - GEN

T1 - Quantum modeling and control of Josephson junction by quantum Hamilton mechanics

AU - Yang, Cian Dong

AU - Kuo, Chung Hsuan

N1 - Publisher Copyright:
© 2014 TCCT, CAA.

PY - 2014/9/11

Y1 - 2014/9/11

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=84907930105&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84907930105&partnerID=8YFLogxK

U2 - 10.1109/ChiCC.2014.6895956

DO - 10.1109/ChiCC.2014.6895956

M3 - Conference contribution

AN - SCOPUS:84907930105

T3 - Proceedings of the 33rd Chinese Control Conference, CCC 2014

SP - 5930

EP - 5934

BT - Proceedings of the 33rd Chinese Control Conference, CCC 2014

A2 - Xu, Shengyuan

A2 - Zhao, Qianchuan

PB - IEEE Computer Society

T2 - Proceedings of the 33rd Chinese Control Conference, CCC 2014

Y2 - 28 July 2014 through 30 July 2014

ER -