Solution to the Master Equation for Nondegenerate Parametric Amplification with Thermal Reservoir

Authors

  • Zhong-Jie Wang Department of Physics, Anhui Normal University, Wuhu 241000, China
  • Xiao-Dong Zhang Department of Physics, Anhui Normal University, Wuhu 241000, China

DOI:

https://doi.org/10.4208/jams.101410.110810a

Keywords:

nondegenarate parametric amplifier, Lie algebra, master equation.

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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Published

2011-02-01

Issue

Vol. 2 No. 3 (2011)

Section

Articles