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Optimal approach to rotational state reconstruction of linear molecules |
Qin Xiao(覃晓)a)b) and Gao Jun-Yi(高军毅)a † |
a Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, Wuhan 430071, China; b Graduate University of the Chinese Academy of Sciences, Beijing 100049, China |
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Abstract We present a simulation for the reconstruction of the rotational quantum state of linear molecules to retrieve the density matrix. An optimal approach in the sense of minimal error limit is proposed, in which a variable set of angular frequency is properly chosen and the least square inversion is then applied. This approach of reconstruction from time-dependent molecular-axis angular distribution is proved adaptable for various object states, which has a good numerical stability independent of the selected rotational space.
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Received: 10 July 2010
Revised: 25 August 2010
Accepted manuscript online:
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PACS:
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03.65.Wj
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(State reconstruction, quantum tomography)
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33.20.Sn
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(Rotational analysis)
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Cite this article:
Qin Xiao(覃晓) and Gao Jun-Yi(高军毅) Optimal approach to rotational state reconstruction of linear molecules 2011 Chin. Phys. B 20 010306
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