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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 |
| 1Department of Modern Physics, University of Science and Technology of China, Hefei 230027
2Department of Physics, Weifang University, Weifang 261043 |
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| Cite this article: |
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YANG Jie, LU Huai-Xin, ZHAO Bo et al 2003 Chin. Phys. Lett. 20 796-798 |
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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.
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| Keywords:
03.65.Yz
03.65.Fd
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Published: 01 June 2003
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| PACS: |
03.65.Yz
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(Decoherence; open systems; quantum statistical methods)
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03.65.Fd
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(Algebraic methods)
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