Noise and Dissipation in a Circuit Quantum Electrodynamic Description of a Josephson Traveling-Wave Parametric Amplifier

Yongjie Yuan; Michael Haider; Johannes A. Russer; Peter Russer; Christian Jirauschek

doi:10.23919/URSIGASS49373.2020.9232389

Noise and Dissipation in a Circuit Quantum Electrodynamic Description of a Josephson Traveling-Wave Parametric Amplifier

Yongjie Yuan, Michael Haider, Johannes A. Russer, Peter Russer, Christian Jirauschek

Technical University of Munich

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

3 Scopus citations

Abstract

In this paper, we are constructing a circuit quantum electrodynamic model describing dissipative effects in a Josephson traveling-wave parametric amplifier (JTWPA). Losses and noise are treated using the quantum Langevin method. The total Hamiltonian of our model describes the coupling of the modes in a parametric four-wave-mixing scheme, as well as the interaction with the environment. Based on the Heisenberg equations of motion, we obtain the temporal evolution of the signal photon number and analyze the signal gain of the JTWPA.

Original language	English
Title of host publication	2020 33rd General Assembly and Scientific Symposium of the International Union of Radio Science, URSI GASS 2020
Publisher	Institute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)	9789463968003
DOIs	https://doi.org/10.23919/URSIGASS49373.2020.9232389
State	Published - Aug 2020
Event	33rd General Assembly and Scientific Symposium of the International Union of Radio Science, URSI GASS 2020 - Rome, Italy Duration: 29 Aug 2020 → 5 Sep 2020

Publication series

Name	2020 33rd General Assembly and Scientific Symposium of the International Union of Radio Science, URSI GASS 2020

Conference

Conference	33rd General Assembly and Scientific Symposium of the International Union of Radio Science, URSI GASS 2020
Country/Territory	Italy
City	Rome
Period	29/08/20 → 5/09/20

Access to Document

10.23919/URSIGASS49373.2020.9232389

Cite this

Yuan, Y., Haider, M., Russer, J. A., Russer, P., & Jirauschek, C. (2020). Noise and Dissipation in a Circuit Quantum Electrodynamic Description of a Josephson Traveling-Wave Parametric Amplifier. In 2020 33rd General Assembly and Scientific Symposium of the International Union of Radio Science, URSI GASS 2020 Article 9232389 (2020 33rd General Assembly and Scientific Symposium of the International Union of Radio Science, URSI GASS 2020). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.23919/URSIGASS49373.2020.9232389

Yuan, Yongjie ; Haider, Michael ; Russer, Johannes A. et al. / Noise and Dissipation in a Circuit Quantum Electrodynamic Description of a Josephson Traveling-Wave Parametric Amplifier. 2020 33rd General Assembly and Scientific Symposium of the International Union of Radio Science, URSI GASS 2020. Institute of Electrical and Electronics Engineers Inc., 2020. (2020 33rd General Assembly and Scientific Symposium of the International Union of Radio Science, URSI GASS 2020).

@inproceedings{2a535bc3fc2f49d4ad4de457aa5f21b9,

title = "Noise and Dissipation in a Circuit Quantum Electrodynamic Description of a Josephson Traveling-Wave Parametric Amplifier",

abstract = "In this paper, we are constructing a circuit quantum electrodynamic model describing dissipative effects in a Josephson traveling-wave parametric amplifier (JTWPA). Losses and noise are treated using the quantum Langevin method. The total Hamiltonian of our model describes the coupling of the modes in a parametric four-wave-mixing scheme, as well as the interaction with the environment. Based on the Heisenberg equations of motion, we obtain the temporal evolution of the signal photon number and analyze the signal gain of the JTWPA.",

author = "Yongjie Yuan and Michael Haider and Russer, \{Johannes A.\} and Peter Russer and Christian Jirauschek",

note = "Publisher Copyright: {\textcopyright} 2020 URSI.; 33rd General Assembly and Scientific Symposium of the International Union of Radio Science, URSI GASS 2020 ; Conference date: 29-08-2020 Through 05-09-2020",

year = "2020",

month = aug,

doi = "10.23919/URSIGASS49373.2020.9232389",

language = "English",

series = "2020 33rd General Assembly and Scientific Symposium of the International Union of Radio Science, URSI GASS 2020",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

booktitle = "2020 33rd General Assembly and Scientific Symposium of the International Union of Radio Science, URSI GASS 2020",

}

Yuan, Y, Haider, M, Russer, JA, Russer, P & Jirauschek, C 2020, Noise and Dissipation in a Circuit Quantum Electrodynamic Description of a Josephson Traveling-Wave Parametric Amplifier. in 2020 33rd General Assembly and Scientific Symposium of the International Union of Radio Science, URSI GASS 2020., 9232389, 2020 33rd General Assembly and Scientific Symposium of the International Union of Radio Science, URSI GASS 2020, Institute of Electrical and Electronics Engineers Inc., 33rd General Assembly and Scientific Symposium of the International Union of Radio Science, URSI GASS 2020, Rome, Italy, 29/08/20. https://doi.org/10.23919/URSIGASS49373.2020.9232389

Noise and Dissipation in a Circuit Quantum Electrodynamic Description of a Josephson Traveling-Wave Parametric Amplifier. / Yuan, Yongjie; Haider, Michael; Russer, Johannes A. et al.
2020 33rd General Assembly and Scientific Symposium of the International Union of Radio Science, URSI GASS 2020. Institute of Electrical and Electronics Engineers Inc., 2020. 9232389 (2020 33rd General Assembly and Scientific Symposium of the International Union of Radio Science, URSI GASS 2020).

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

TY - GEN

T1 - Noise and Dissipation in a Circuit Quantum Electrodynamic Description of a Josephson Traveling-Wave Parametric Amplifier

AU - Yuan, Yongjie

AU - Haider, Michael

AU - Russer, Johannes A.

AU - Russer, Peter

AU - Jirauschek, Christian

PY - 2020/8

Y1 - 2020/8

N2 - In this paper, we are constructing a circuit quantum electrodynamic model describing dissipative effects in a Josephson traveling-wave parametric amplifier (JTWPA). Losses and noise are treated using the quantum Langevin method. The total Hamiltonian of our model describes the coupling of the modes in a parametric four-wave-mixing scheme, as well as the interaction with the environment. Based on the Heisenberg equations of motion, we obtain the temporal evolution of the signal photon number and analyze the signal gain of the JTWPA.

AB - In this paper, we are constructing a circuit quantum electrodynamic model describing dissipative effects in a Josephson traveling-wave parametric amplifier (JTWPA). Losses and noise are treated using the quantum Langevin method. The total Hamiltonian of our model describes the coupling of the modes in a parametric four-wave-mixing scheme, as well as the interaction with the environment. Based on the Heisenberg equations of motion, we obtain the temporal evolution of the signal photon number and analyze the signal gain of the JTWPA.

UR - http://www.scopus.com/inward/record.url?scp=85096871125&partnerID=8YFLogxK

U2 - 10.23919/URSIGASS49373.2020.9232389

DO - 10.23919/URSIGASS49373.2020.9232389

M3 - Conference contribution

AN - SCOPUS:85096871125

T3 - 2020 33rd General Assembly and Scientific Symposium of the International Union of Radio Science, URSI GASS 2020

BT - 2020 33rd General Assembly and Scientific Symposium of the International Union of Radio Science, URSI GASS 2020

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 33rd General Assembly and Scientific Symposium of the International Union of Radio Science, URSI GASS 2020

Y2 - 29 August 2020 through 5 September 2020

ER -

Yuan Y, Haider M, Russer JA, Russer P , Jirauschek C. Noise and Dissipation in a Circuit Quantum Electrodynamic Description of a Josephson Traveling-Wave Parametric Amplifier. In 2020 33rd General Assembly and Scientific Symposium of the International Union of Radio Science, URSI GASS 2020. Institute of Electrical and Electronics Engineers Inc. 2020. 9232389. (2020 33rd General Assembly and Scientific Symposium of the International Union of Radio Science, URSI GASS 2020). doi: 10.23919/URSIGASS49373.2020.9232389

Noise and Dissipation in a Circuit Quantum Electrodynamic Description of a Josephson Traveling-Wave Parametric Amplifier

Abstract

Publication series

Conference

Access to Document

Other files and links

Fingerprint

Cite this