TY - GEN
T1 - Quantum Master Equation for a Lossy Josephson Traveling-Wave Parametric Amplifier
AU - Yuan, Yongjie
AU - Haider, Michael
AU - Jirauschek, Christian
N1 - Publisher Copyright:
© 2022 IEEE.
PY - 2022
Y1 - 2022
N2 - In this paper, we present a theoretical framework for investigating losses and thermal fluctuations in a Josephson traveling-wave parametric amplifier (JTWPA). Our model is based on a discrete-mode Hamiltonian which includes a four-wave-mixing process and system-reservoir interactions. From this Hamiltonian, we derive a quantum master equation that describes the lossy Josephson-junction-embedded transmission line. The resulting equation of motion for the reduced density operator is applied for evaluating the average photon number in the signal mode. We present an analytic solution for the case of a dispersionless transmission line, where the phase-modulation effects can be neglected, and evaluate the photon number spectrum of a JTWPA structure with parameters from the literature. The quantum master equation is especially advantageous for a direct treatment of the expectation values of the photon number, in comparison to other strategies.
AB - In this paper, we present a theoretical framework for investigating losses and thermal fluctuations in a Josephson traveling-wave parametric amplifier (JTWPA). Our model is based on a discrete-mode Hamiltonian which includes a four-wave-mixing process and system-reservoir interactions. From this Hamiltonian, we derive a quantum master equation that describes the lossy Josephson-junction-embedded transmission line. The resulting equation of motion for the reduced density operator is applied for evaluating the average photon number in the signal mode. We present an analytic solution for the case of a dispersionless transmission line, where the phase-modulation effects can be neglected, and evaluate the photon number spectrum of a JTWPA structure with parameters from the literature. The quantum master equation is especially advantageous for a direct treatment of the expectation values of the photon number, in comparison to other strategies.
UR - http://www.scopus.com/inward/record.url?scp=85146420488&partnerID=8YFLogxK
U2 - 10.1109/MWP54208.2022.9997682
DO - 10.1109/MWP54208.2022.9997682
M3 - Conference contribution
AN - SCOPUS:85146420488
T3 - 2022 IEEE International Topical Meeting on Microwave Photonics, MWP 2022 - Proceedings
BT - 2022 IEEE International Topical Meeting on Microwave Photonics, MWP 2022 - Proceedings
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 2022 IEEE International Topical Meeting on Microwave Photonics, MWP 2022
Y2 - 3 October 2022 through 7 October 2022
ER -