Algebraic approch to master equations with superoperator generators of su(1,1) and su(2) Lie algebras

Huai-Xin Lu, Jie Chi Yang, Yong-De Zhang, Zeng‐Bing Chen · Physical Review A · 2003

In this paper, using the decomposition theorem of superoperators, we present a general method to solve master equations with superoperator generators of su(1,1) and su(2) Lie algebras. With the help of this method, the time evolution of the density operators for certain systems, which have SU(1,1) and SU(2) symmetry, can be easily obtained from any given initial state.

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