Solution to the Master Equation for Nondegenerate Parametric Amplification with Thermal Reservoir
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@Article{JAMS-2-255,
author = {Wang , Zhong-Jie and Zhang , Xiao-Dong},
title = {Solution to the Master Equation for Nondegenerate Parametric Amplification with Thermal Reservoir},
journal = {Journal of Atomic and Molecular Sciences},
year = {2011},
volume = {2},
number = {3},
pages = {255--261},
abstract = {
By using Lie dynamical algebra representation theory, we have solved the master equation for the nondegenerate parametric amplifier model in a thermal reservoir. Applying a series of transformations, we show that the master equation has multiple commuted SU(1,1) Lie algebra structures. The explicit solution to the master equation has been obtained.
}, issn = {2079-7346}, doi = {https://doi.org/10.4208/jams.101410.110810a}, url = {http://global-sci.org/intro/article_detail/jams/8153.html} }
TY - JOUR
T1 - Solution to the Master Equation for Nondegenerate Parametric Amplification with Thermal Reservoir
AU - Wang , Zhong-Jie
AU - Zhang , Xiao-Dong
JO - Journal of Atomic and Molecular Sciences
VL - 3
SP - 255
EP - 261
PY - 2011
DA - 2011/02
SN - 2
DO - http://doi.org/10.4208/jams.101410.110810a
UR - https://global-sci.org/intro/article_detail/jams/8153.html
KW - nondegenarate parametric amplifier, Lie algebra, master equation.
AB -
By using Lie dynamical algebra representation theory, we have solved the master equation for the nondegenerate parametric amplifier model in a thermal reservoir. Applying a series of transformations, we show that the master equation has multiple commuted SU(1,1) Lie algebra structures. The explicit solution to the master equation has been obtained.
Zhong-Jie Wang & Xiao-Dong Zhang. (2019). Solution to the Master Equation for Nondegenerate Parametric Amplification with Thermal Reservoir.
Journal of Atomic and Molecular Sciences. 2 (3).
255-261.
doi:10.4208/jams.101410.110810a
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