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 - <p style="text-align: justify;">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.</p>