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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 |
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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+aρ-a+ρa-aρa++ρaa+]. The physical difference between this diffusion equation and the better-known amplitude damping master equation is pointed out.
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Received: 05 June 2013
Revised: 05 September 2013
Accepted manuscript online:
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PACS:
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03.65.-w
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(Quantum mechanics)
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42.50.-p
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(Quantum optics)
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02.90.+p
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(Other topics in mathematical methods in physics)
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| 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
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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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| [1] |
Carmichael H J 1999 Statistical Methods in Quantum Optics 1: Master Equations and Fokker-Planck Equations (Berlin: Springer-Verlag)
|
| [2] |
Carmichael H J 2008 Statistical Methods in Quantum Optics 2: Non-Classical Fields (Berlin: Springer-Verlag)
|
| [3] |
Caves C M 1982 Phys. Rev. D 26 1817
|
| [4] |
Fan H Y and Klauder J R 1994 Phys. Rev. A 49 704
|
| [5] |
Fan H Y and Hu L Y 2009 Chin. Phys. B 18 1061
|
| [6] |
Fan H Y 2003 J. Opt. B: Quantum Semiclass. Opt. 5 R147
|
| [7] |
Fan H Y 2012 Representation and Transformation Theory in Quantum Mechanice–-Progress of Dirac’s Symbolic Method (2nd edn.) (Hefei: University of Science and Technology of China) (in Chinese)
|
| [8] |
Liu T K and Fan H Y 2011 Commun. Theor. Phys. 55 38
|
| [9] |
Liu T K, Liu J B, Shan C J and Fan H Y 2010 Chin. Phys. B 19 090307
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