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On long-time limit behavior of the solution of atom's master equation |
| Chen Jun-Hua (陈俊华)a, Fan Hong-Yi (范洪义)a, Jiang Nian-Quan (姜年权 )b |
a Department of Material Science and Engineering, University of Science and Technology of China, Hefei 230026, China;
b School of Physical Science and Electronic Information Engineering, Wenzhou University, Wenzhou 325035, China |
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Abstract We study long-time limit behavior of the solution of atom's master equation, for the first time we derive that the probability of the atom being in the α-th (α =j+1-jz, j is the angular momentum quantum number, jz is the z-component of angular momentum) state is {(1-K/G)/[1-(K/G)2j+1]}(K/G)α-1 as t→+∞, which coincides with the fact that when K/G > 1, the larger the α is, the larger probability of the atom being in the α-th state (the lower excited state). We also consider the case for some possible generalizations of the atomic master equation.
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Received: 16 September 2011
Revised: 11 April 2012
Accepted manuscript online:
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PACS:
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32.10.-f
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(Properties of atoms)
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| Fund: Project supported by the National Natural Science Foundation of China (Grant No. 11105133). |
Corresponding Authors:
Chen Jun-Hua
E-mail: cjh@ustc.edu.cn
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Cite this article:
Chen Jun-Hua (陈俊华), Fan Hong-Yi (范洪义), Jiang Nian-Quan (姜年权 ) On long-time limit behavior of the solution of atom's master equation 2012 Chin. Phys. B 21 083201
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