| 湮没算符k次幂本征态的Wigner函数及其非经典特性 |
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| 引用本文： | 蓝海江,韦联福.湮没算符k次幂本征态的Wigner函数及其非经典特性[J].量子电子学报,2010,27(2):187-192. |
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| 作者姓名： | 蓝海江 韦联福 |
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| 作者单位： | 1柳州师范高等专科学校物理与信息科学系, 广西 柳州 545003;
2 西南交通大学量子光电信息实验室, 四川 成都 610031 |
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| 基金项目： | 国家自然科学基金资助项目 |
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| 摘 要： | 利用Fock态表象下的Wigner函数表达式，重构了湮没算符k次幂本征态的Wigner函数，并依据Wigner函数在相空间的分布规律，讨论了湮没算符k次幂本征态的非经典特性．数值结果表明：湮没算符k次幂本征态的Wigner函数的分布与复参数α的取值有关；湮没算符1次幂的本征态(即相干态)为准经典态(其Wigner函数值总是非负的)，而湮没算符大于或等于2次幂的本征态则都具有明显的非经典特性(它们的Wigner函数均出现了负值).
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| 关 键 词： | 量子光学 湮没算符 本征态 Wigner函数 非经典特性 |
Wigner functions for the eigenstates of k-th power annihilation operators and their non-classical properties |
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| LAN Hai-jiang,WEI Lian-fu.Wigner functions for the eigenstates of k-th power annihilation operators and their non-classical properties[J].Chinese Journal of Quantum Electronics,2010,27(2):187-192. |
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| Authors: | LAN Hai-jiang WEI Lian-fu |
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| Affiliation: | 1 Department of Physics and Information Science, Liuzhou Teachers College, Liuzhou 545003, China;
2 Laboratory of Quantum Opt-electronic Information, Southwest Jiaotong University, Chengdu 610031, China |
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| Abstract: | Wigner functions for the eigenstates of k-th power annihilation operators are constructed in phase spaces by using their expressions in Fock presentations. Based on the negativities of their relevant Wigner functions, the non-classical properties of these eigenstates are discussed. The numerical results show that,depending on the complex parameters α, the coherent states are quasi-classical (their Wigner functions are always non-negative), but the eigenstates of k-th (k ≥ 2) power annihilation operators are really non-classical (their relevant Wigner functions can be negative in phase spaces). |
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| Keywords: | quantum optics annihilation operators eigenstates Wigner functions non-classical property |
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