Solution to the Master Equation of a Free Damped Harmonic Oscillator with Linear Driving

杨洁; 逯怀新; 赵博; 赵梅生; 张永德

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Solution to the Master Equation of a Free Damped Harmonic Oscillator with Linear Driving

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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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《中国物理快报：英文版》 |2003年第6期|796-798|共3页
作者
杨洁; 逯怀新; 赵博; 赵梅生; 张永德;
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Department of Modern Physics, University of Science and Technology of China, Hefei 230027;

Department of Modern Physics, University of Science and Technology of China, Hefei 230027;

Department of Physics, Weifang University, Weifang 261043;

Department of Modern Physics, University of Science and Technology of China, Hefei 230027;

Department of Modern Physics, University of Science and Technology of China, Hefei 230027;

Department of Modern Physics, University of Science and Technology of China, Hefei 230027;

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Solution to the Master Equation of a Free Damped Harmonic Oscillator with Linear Driving

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