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Chin. Phys. B, 2014, Vol. 23(3): 030303    DOI: 10.1088/1674-1056/23/3/030303
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Master equation describing the diffusion process for a coherent state

Liu Tang-Kun (刘堂昆)a, Shan Chuan-Jia (单传家)a, Liu Ji-Bing (刘继兵)a, Fan Hong-Yi (范洪义)b
a College of Physics and Electronic Science, Hubei Normal University, Huangshi 435002, China;
b Department of Material Science and Engineering, University of Science and Technology of China, Hefei 230026, China
Abstract  The evolution of a pure coherent state into a chaotic state is described very well by a master equation, as is validated via an examination of the coherent state’s evolution during the diffusion process, fully utilizing the technique of integration within an ordered product (IWOP) of operators. The same equation also describes a limitation that maintains the coherence in a weak diffusion process, i.e., when the dissipation is very weak and the initial average photon number is large. This equation is dρ/dt=-κ[a+-a+ρa-aρa++ρaa+]. The physical difference between this diffusion equation and the better-known amplitude damping master equation is pointed out.
Keywords:  master equation describing diffusion      coherent state evolution      chaotic state      integration within an ordered product (IWOP) of operators  
Received:  05 June 2013      Revised:  05 September 2013      Accepted manuscript online: 
PACS:  03.65.-w (Quantum mechanics)  
  42.50.-p (Quantum optics)  
  02.90.+p (Other topics in mathematical methods in physics)  
Fund: Project supported by the National Basic Research Program of China (Grant No. 2012CB922103), the National Natural Science Foundation of China (Grant Nos. 11175113 and 11274104), and the Natural Science Foundation of Hubei Province of China (Grant No. 2011CDA021).
Corresponding Authors:  Liu Tang-Kun     E-mail:  tkliuhs@163.com

Cite this article: 

Liu Tang-Kun (刘堂昆), Shan Chuan-Jia (单传家), Liu Ji-Bing (刘继兵), Fan Hong-Yi (范洪义) Master equation describing the diffusion process for a coherent state 2014 Chin. Phys. B 23 030303

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