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Z. Naturforsch. 67a, 559 – 566 (2012)
doi:10.5560/ZNA.2012-0058
Dynamical Symmetry Method Investigates the Dissipation and Decoherence of the two-level Jaynes–Cummings Model
Qin-Sheng Zhu1, Wei Lai2, and Da-Lin Wu2
1 Department of Applied Physics, University of Electronic Science and Technology of China, Chengdu 610054, China
2 Experimental Middle School of Chengdu Economic & Technology Development Zone, Chengdu 610054, China
Received January 10, 2012 / revised May 17, 2012 / published online August 20, 2012
Reprint requests to: Z. Q.-S.; E-mail: zhuqinsheng@gmail.com
Based on the quantum master equation which describes the dynamical evolution of a two-level atom interacting with one mode of the quantized photon field in a cavity, we have investigated the systemic dissipative and decoherence properties by use of the development algebraic dynamic method for the automatic and non-automatic condition. Furthermore, using the exact solution of the quantum master equation, we have investigated the asymptotic behaviours of the system.
Key words: Algebraic Dynamics; Master Equation; Jaynes–Cummings Model.
PACS numbers: 03.65.Fd; 03.65.Yz; 42.50.Lc
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