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

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

Year:    2011

Author:    Zhong-Jie Wang, Xiao-Dong Zhang

Journal of Atomic and Molecular Sciences, Vol. 2 (2011), Iss. 3 : pp. 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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

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

Journal of Atomic and Molecular Sciences, Vol. 2 (2011), Iss. 3 : pp. 255–261

Published online:    2011-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    7

Keywords:    nondegenarate parametric amplifier Lie algebra master equation.

Author Details

Zhong-Jie Wang

Xiao-Dong Zhang