Solution to the Master Equation of a Free Damped Harmonic Oscillator with Linear Driving
YANG Jie1 , LU Huai-Xin1,2 , ZHAO Bo1 , ZHAO Mei-Sheng1 , ZHANG Yong-De1
1 Department of Modern Physics, University of Science and Technology of China, Hefei 230027
2 Department of Physics, Weifang University, Weifang 261043
Solution to the Master Equation of a Free Damped Harmonic Oscillator with Linear Driving
YANG Jie1 ;LU Huai-Xin1,2 ;ZHAO Bo1 ;ZHAO Mei-Sheng1 ;ZHANG Yong-De1
1 Department of Modern Physics, University of Science and Technology of China, Hefei 230027
2 Department of Physics, Weifang University, Weifang 261043
关键词 ：
03.65.Yz ,
03.65.Fd
Abstract ： We use the Lie algebra representation theory for superoperators to solve the master equation for a harmonic oscillator with a linear driving term in a squeezed thermal reservoir. By using the quantum displacement transformation and squeeze transformation, we show that the master equation has an su(1,1) Lie algebra structure, with which we obtain the explicit solution to the master equation. A simple but typical example is given to illustrate our method.
Key words ：
03.65.Yz
03.65.Fd
出版日期: 2003-06-01
:
03.65.Yz
(Decoherence; open systems; quantum statistical methods)
03.65.Fd
(Algebraic methods)
引用本文:
YANG Jie;LU Huai-Xin;ZHAO Bo;ZHAO Mei-Sheng;ZHANG Yong-De. Solution to the Master Equation of a Free Damped Harmonic Oscillator with Linear Driving[J]. 中国物理快报, 2003, 20(6): 796-798.
链接本文:
https://cpl.iphy.ac.cn/CN/
或
https://cpl.iphy.ac.cn/CN/Y2003/V20/I6/796
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2003, Vol. 20 
