Long-time limit behavior of the solution to an atom’s master equation |
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| Authors: | Chen Jun-Hua a Fan Hong-Yi a and Jiang Nian-Quan |
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| Affiliation: | 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 the long-time limit behavior of the solution to an atom’s master equation.For the first time we derive that the probability of the atom being in the α-th(α = j + 1-j z,j is the angular momentum quantum number,j z 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 the probability of the atom being in the α-th state(the lower excited state) is.We also consider the case for some possible generalizations of the atomic master equation. |
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| Keywords: | master equation angular momentum long-time limit behavior |
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