Optimal approach to rotational state reconstruction of linear molecules

doi:10.1088/1674-1056/20/1/010306

中国物理B ›› 2011, Vol. 20 ›› Issue (1): 10306-010306.doi: 10.1088/1674-1056/20/1/010306

Optimal approach to rotational state reconstruction of linear molecules

高军毅¹, 覃晓²

(1)Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, Wuhan 430071, China; (2)Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, Wuhan 430071, China;Graduate University of the Chinese Academy of Sciences, Beijing 100049, China

收稿日期:2010-07-10 修回日期:2010-08-25 出版日期:2011-01-15 发布日期:2011-01-15

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

Received:2010-07-10 Revised:2010-08-25 Online:2011-01-15 Published:2011-01-15

摘要/Abstract

摘要： 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.

关键词: state reconstruction, molecular rotation

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.

Key words: state reconstruction, molecular rotation

中图分类号: (State reconstruction, quantum tomography)

03.65.Wj

33.20.Sn (Rotational analysis)

覃晓, 高军毅. Optimal approach to rotational state reconstruction of linear molecules[J]. 中国物理B, 2011, 20(1): 10306-010306.

Qin Xiao(覃晓) and Gao Jun-Yi(高军毅) . Optimal approach to rotational state reconstruction of linear molecules[J]. Chin. Phys. B, 2011, 20(1): 10306-010306.

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Optimal approach to rotational state reconstruction of linear molecules

Optimal approach to rotational state reconstruction of linear molecules

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