Quantum modeling and control of Josephson junction by quantum Hamilton mechanics

Cian Dong Yang; Chung Hsuan Kuo

doi:10.1109/ChiCC.2014.6895956

Quantum modeling and control of Josephson junction by quantum Hamilton mechanics

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

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) = q_R + q_I·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 n_g to the quantum Hamiltonian. By adjusting the magnitude of n_g, 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.

Original language	English
Title of host publication	Proceedings of the 33rd Chinese Control Conference, CCC 2014
Editors	Shengyuan Xu, Qianchuan Zhao
Publisher	IEEE Computer Society
Pages	5930-5934
Number of pages	5
ISBN (Electronic)	9789881563842
DOIs	https://doi.org/10.1109/ChiCC.2014.6895956
Publication status	Published - 2014 Sept 11
Event	Proceedings of the 33rd Chinese Control Conference, CCC 2014 - Nanjing, China Duration: 2014 Jul 28 → 2014 Jul 30

Publication series

Name	Proceedings of the 33rd Chinese Control Conference, CCC 2014
ISSN (Print)	1934-1768
ISSN (Electronic)	2161-2927

Conference

Conference	Proceedings of the 33rd Chinese Control Conference, CCC 2014
Country/Territory	China
City	Nanjing
Period	14-07-28 → 14-07-30

All Science Journal Classification (ASJC) codes

Computer Science Applications
Control and Systems Engineering
Applied Mathematics
Modelling and Simulation

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10.1109/ChiCC.2014.6895956

Cite this

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title = "Quantum modeling and control of Josephson junction by quantum Hamilton mechanics",

abstract = "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.",

author = "Yang, {Cian Dong} and Kuo, {Chung Hsuan}",

note = "Publisher Copyright: {\textcopyright} 2014 TCCT, CAA.; Proceedings of the 33rd Chinese Control Conference, CCC 2014 ; Conference date: 28-07-2014 Through 30-07-2014",

year = "2014",

month = sep,

day = "11",

doi = "10.1109/ChiCC.2014.6895956",

language = "English",

series = "Proceedings of the 33rd Chinese Control Conference, CCC 2014",

publisher = "IEEE Computer Society",

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editor = "Shengyuan Xu and Qianchuan Zhao",

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address = "United States",

}

Yang, CD & Kuo, CH 2014, Quantum modeling and control of Josephson junction by quantum Hamilton mechanics. in S Xu & Q Zhao (eds), Proceedings of the 33rd Chinese Control Conference, CCC 2014., 6895956, Proceedings of the 33rd Chinese Control Conference, CCC 2014, IEEE Computer Society, pp. 5930-5934, Proceedings of the 33rd Chinese Control Conference, CCC 2014, Nanjing, China, 14-07-28. https://doi.org/10.1109/ChiCC.2014.6895956

Quantum modeling and control of Josephson junction by quantum Hamilton mechanics. / Yang, Cian Dong; Kuo, Chung Hsuan.
Proceedings of the 33rd Chinese Control Conference, CCC 2014. ed. / Shengyuan Xu; Qianchuan Zhao. IEEE Computer Society, 2014. p. 5930-5934 6895956 (Proceedings of the 33rd Chinese Control Conference, CCC 2014).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

TY - GEN

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

AU - Yang, Cian Dong

AU - Kuo, Chung Hsuan

PY - 2014/9/11

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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.

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

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Quantum modeling and control of Josephson junction by quantum Hamilton mechanics

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