Volume 2, Issue 3
Solution to the Master Equation for Nondegenerate Parametric Amplification with Thermal Reservoir

Zhong-Jie Wang & Xiao-Dong Zhang

J. At. Mol. Sci., 2 (2011), pp. 255-261.

Published online: 2011-02

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  • 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.

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COPYRIGHT: © Global Science Press

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wuliwzj@mail.ahnu.edu.cn (Zhong-Jie Wang)

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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.

Wang , Zhong-Jie and Zhang , Xiao-Dong. (2011). 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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