Perturbation Theory for Open Two-Level Nonlinear Quantum Systems |
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Authors: | ZHANG Zhi-Jie JIANG Dong-Guang WANG Wei |
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Affiliation: | School of Physics and Optoelectronic Technology, Dalian University of Technology, Dalian 116024, China |
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Abstract: | Perturbation theory is an important tool in quantum mechanics. In this paper, we extend the traditional perturbation theory to open nonlinear two-level systems, treating decoherence parameterγ as a perturbation. By this virtue, we give a perturbative solution to the master equation, which describes a nonlinear open quantum system. The results show that for small decoherence rateγ, the ratio of the nonlinear rate C to the tunneling coefficient V (i.e., r=C/V) determines the validity of the perturbation theory. For small ratio r, the perturbation theory is valid, otherwise it yields wrong results. |
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Keywords: | perturbation theory decoherence nonlinear system |
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